Pub Date : 2024-09-11DOI: 10.1103/physrevc.110.035201
Johannes Jahan, Claudia Ratti, Maria Stefaniak, Klaus Werner
Proxies for cumulants of baryon number , electric charge , and strangeness are usually measured in heavy-ion collisions via moments of net-number distribution of given hadronic species. Since these cumulants of conserved charges are expected to be sensitive to the existence of a critical point in the phase diagram of nuclear matter, it is crucial to ensure that the proxies used as substitutes are as close to them as possible. Hence, we use the epos4 framework to generate collisions at several collision energies of the BNL Relativistic Heavy Ion Collider beam energy scan. We compute second-order net cumulants of , , and , for which experimental data have been published as well as the corresponding conserved charge cumulants. We then compare them with proxies, defined in previous lattice QCD and hadron resonance gas model studies, which are shown to reproduce more accurately their associated conserved charge cumulants. We investigate the impact of hadronic rescatterings occurring in the late evolution of the system on these quantities, as well as the amount of signal actually originating from the bulk medium which endures a phase transition.
{"title":"New proxies for second-order cumulants of conserved charges in heavy-ion collisions within the EPOS4 framework","authors":"Johannes Jahan, Claudia Ratti, Maria Stefaniak, Klaus Werner","doi":"10.1103/physrevc.110.035201","DOIUrl":"https://doi.org/10.1103/physrevc.110.035201","url":null,"abstract":"Proxies for cumulants of baryon number <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>B</mi></math>, electric charge <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>Q</mi></math>, and strangeness <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>S</mi></math> are usually measured in heavy-ion collisions via moments of net-number distribution of given hadronic species. Since these cumulants of conserved charges are expected to be sensitive to the existence of a critical point in the phase diagram of nuclear matter, it is crucial to ensure that the proxies used as substitutes are as close to them as possible. Hence, we use the <span>epos</span>4 framework to generate <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mtext>Au</mtext><mo>+</mo><mtext>Au</mtext></mrow></math> collisions at several collision energies of the BNL Relativistic Heavy Ion Collider beam energy scan. We compute second-order net cumulants of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>π</mi></math>, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>K</mi></math>, and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>p</mi></math>, for which experimental data have been published as well as the corresponding conserved charge cumulants. We then compare them with proxies, defined in previous lattice QCD and hadron resonance gas model studies, which are shown to reproduce more accurately their associated conserved charge cumulants. We investigate the impact of hadronic rescatterings occurring in the late evolution of the system on these quantities, as well as the amount of signal actually originating from the bulk medium which endures a phase transition.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-11DOI: 10.1103/physrevc.110.034311
J. Louko, K. Auranen, J. Uusitalo, A. D. Briscoe, T. Grahn, P. T. Greenlees, A. Illana, H. Joukainen, R. Julin, H. Jutila, M. Leino, M. Luoma, J. Ojala, J. Pakarinen, A. Raggio, P. Rahkila, J. Romero, P. Ruotsalainen, M. Sandzelius, J. Sarén, A. Tolosa-Delgado, G. Zimba
The first in-beam <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>γ</mi></math>-ray spectroscopic study of the neutron-deficient actinium isotopes <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mrow><mn>211</mn><mo>,</mo><mn>213</mn></mrow></mmultiscripts></math> has been carried out at the Accelerator Laboratory of the University of Jyväskylä using a highly selective recoil-decay tagging method with the <span>jurogam 3</span> germanium-detector array and MARA separator. The nuclei of interest were produced using the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Lu</mi><mprescripts></mprescripts><none></none><mn>175</mn></mmultiscripts><mo>(</mo><mmultiscripts><mi>Ar</mi><mprescripts></mprescripts><none></none><mn>40</mn></mmultiscripts><mo>,</mo><mspace width="0.16em"></mspace><mn>4</mn><mi>n</mi><mo>)</mo><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Hf</mi><mprescripts></mprescripts><none></none><mn>180</mn></mmultiscripts><mo>(</mo><mmultiscripts><mi>Cl</mi><mprescripts></mprescripts><none></none><mn>37</mn></mmultiscripts><mo>,</mo><mn>4</mn><mi>n</mi><mo>)</mo><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>213</mn></mmultiscripts></mrow></math> fusion-evaporation reactions. Excited states in <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></math> were observed for the first time. In <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>213</mn></mmultiscripts></math> low-lying core-excited states whose excitation energies follow the systematic trends of their respective core states in even-even isotones <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ra</mi><mprescripts></mprescripts><none></none><mn>210</mn></mmultiscripts></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ra</mi><mprescripts></mprescripts><none></none><mn>212</mn></mmultiscripts></math> were identified. Additionally, we were able to extend the level scheme of <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ra</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></math>, which was also produced in the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Ar</mi><mprescripts></mprescripts><none></none><mn>40</mn></mmultiscripts><mo>+</mo><mmultiscripts><mi>Lu</mi><mprescripts></mprescripts><none></none><mn>175</mn></mmultiscripts></mrow></math> reaction. We also remeasured the half-lives of the gro
{"title":"In-beam γ-ray spectroscopy of Ac211,213 and Ra211","authors":"J. Louko, K. Auranen, J. Uusitalo, A. D. Briscoe, T. Grahn, P. T. Greenlees, A. Illana, H. Joukainen, R. Julin, H. Jutila, M. Leino, M. Luoma, J. Ojala, J. Pakarinen, A. Raggio, P. Rahkila, J. Romero, P. Ruotsalainen, M. Sandzelius, J. Sarén, A. Tolosa-Delgado, G. Zimba","doi":"10.1103/physrevc.110.034311","DOIUrl":"https://doi.org/10.1103/physrevc.110.034311","url":null,"abstract":"The first in-beam <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>γ</mi></math>-ray spectroscopic study of the neutron-deficient actinium isotopes <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mrow><mn>211</mn><mo>,</mo><mn>213</mn></mrow></mmultiscripts></math> has been carried out at the Accelerator Laboratory of the University of Jyväskylä using a highly selective recoil-decay tagging method with the <span>jurogam 3</span> germanium-detector array and MARA separator. The nuclei of interest were produced using the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Lu</mi><mprescripts></mprescripts><none></none><mn>175</mn></mmultiscripts><mo>(</mo><mmultiscripts><mi>Ar</mi><mprescripts></mprescripts><none></none><mn>40</mn></mmultiscripts><mo>,</mo><mspace width=\"0.16em\"></mspace><mn>4</mn><mi>n</mi><mo>)</mo><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></mrow></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Hf</mi><mprescripts></mprescripts><none></none><mn>180</mn></mmultiscripts><mo>(</mo><mmultiscripts><mi>Cl</mi><mprescripts></mprescripts><none></none><mn>37</mn></mmultiscripts><mo>,</mo><mn>4</mn><mi>n</mi><mo>)</mo><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>213</mn></mmultiscripts></mrow></math> fusion-evaporation reactions. Excited states in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></math> were observed for the first time. In <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Ac</mi><mprescripts></mprescripts><none></none><mn>213</mn></mmultiscripts></math> low-lying core-excited states whose excitation energies follow the systematic trends of their respective core states in even-even isotones <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Ra</mi><mprescripts></mprescripts><none></none><mn>210</mn></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Ra</mi><mprescripts></mprescripts><none></none><mn>212</mn></mmultiscripts></math> were identified. Additionally, we were able to extend the level scheme of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Ra</mi><mprescripts></mprescripts><none></none><mn>211</mn></mmultiscripts></math>, which was also produced in the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Ar</mi><mprescripts></mprescripts><none></none><mn>40</mn></mmultiscripts><mo>+</mo><mmultiscripts><mi>Lu</mi><mprescripts></mprescripts><none></none><mn>175</mn></mmultiscripts></mrow></math> reaction. We also remeasured the half-lives of the gro","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-11DOI: 10.1103/physrevc.110.034312
N. N. Arsenyev, A. P. Severyukhin, G. G. Adamian, N. V. Antonenko
The correlation between the spin-orbit strength and effective mass at saturation density is demonstrated for various Skyrme energy-density functionals without tensor force. This correlation can be used to reduce the number of parameters in these functionals. The role of the spin-orbit interaction is considered together with the tensor force, which has a similar effect on the observable nuclear characteristics. The use of the relation obtained between the spin-orbit strength and the effective mass in the calculations of binding energies, spin-orbit splitting, and charge radii does not spoil the description of experimental data.
{"title":"Correlation of spin-orbit potential and effective mass","authors":"N. N. Arsenyev, A. P. Severyukhin, G. G. Adamian, N. V. Antonenko","doi":"10.1103/physrevc.110.034312","DOIUrl":"https://doi.org/10.1103/physrevc.110.034312","url":null,"abstract":"The correlation between the spin-orbit strength and effective mass at saturation density is demonstrated for various Skyrme energy-density functionals without tensor force. This correlation can be used to reduce the number of parameters in these functionals. The role of the spin-orbit interaction is considered together with the tensor force, which has a similar effect on the observable nuclear characteristics. The use of the relation obtained between the spin-orbit strength and the effective mass in the calculations of binding energies, spin-orbit splitting, and charge radii does not spoil the description of experimental data.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-10DOI: 10.1103/physrevc.110.035804
D. F. Rojas-Gamboa, N. G. Kelkar, O. L. Caballero
decay is one of the prominent decay modes in the nucleosynthesis of heavy and superheavy elements synthesized at temperatures of the order of gigakelvin. To facilitate the investigation of the role played by the decay half-lives of thermally excited nuclei in nucleosynthesis calculations, an empirical formula based on a model for the decay of nuclei in their ground and excited states to daughter nuclei in their ground or excited states is presented. Constants appearing in the analytical expression for the decay half-life obtained within the model are treated as adjustable parameters and fitted to experimental data on 342 decays in the range of 82 94, to obtain an excitation energy-dependent decay law. Under the assumption that thermal equilibrium has been reached between nuclear states, temperature () dependent half-lives, , for several of the experimentally studied emitters with 65 94 are presented using available data on the half-lives of excited nuclei. Though the general trend is a decrease in at elevated temperatures, exceptional cases with increased half-lives are found in the case of some isomeric states. A list of such isomers provided in this paper motivates future work involving considerations of their thermal equilibration and role in shaping kilonova light curves.
{"title":"α decay law of excited nuclei and its role in stellar decay rates","authors":"D. F. Rojas-Gamboa, N. G. Kelkar, O. L. Caballero","doi":"10.1103/physrevc.110.035804","DOIUrl":"https://doi.org/10.1103/physrevc.110.035804","url":null,"abstract":"<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>α</mi></math> decay is one of the prominent decay modes in the nucleosynthesis of heavy and superheavy elements synthesized at temperatures of the order of gigakelvin. To facilitate the investigation of the role played by the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>α</mi></math> decay half-lives of thermally excited nuclei in nucleosynthesis calculations, an empirical formula based on a model for the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>α</mi></math> decay of nuclei in their ground and excited states to daughter nuclei in their ground or excited states is presented. Constants appearing in the analytical expression for the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>α</mi></math> decay half-life obtained within the model are treated as adjustable parameters and fitted to experimental data on 342 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>α</mi></math> decays in the range of 82 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mo>≤</mo><msub><mi>Z</mi><mi>p</mi></msub><mo>≤</mo></mrow></math> 94, to obtain an excitation energy-dependent decay law. Under the assumption that thermal equilibrium has been reached between nuclear states, temperature (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>T</mi></math>) dependent half-lives, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>t</mi><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math>, for several of the experimentally studied <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>α</mi></math> emitters with 65 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mo>≤</mo><msub><mi>Z</mi><mi>p</mi></msub><mo>≤</mo></mrow></math> 94 are presented using available data on the half-lives of excited nuclei. Though the general trend is a decrease in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>t</mi><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math> at elevated temperatures, exceptional cases with increased half-lives are found in the case of some isomeric states. A list of such isomers provided in this paper motivates future work involving considerations of their thermal equilibration and role in shaping kilonova light curves.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-10DOI: 10.1103/physrevc.110.034308
Hantao Zhang, Dong Bai, Zhongzhou Ren
Based on our previous work about Coulomb corrections in the trap method [H. Zhang et al.Phys. Lett. B850, 138490 (2024)], we extend the Coulomb-corrected Busch-Englert-Rzażewski-Wilkens formula in coupled-channels nuclear reactions and examine the reliability by taking as an example. The obtained numerical results are generally well consistent with conventional methods. Our work lays some groundwork for analyzing the coupled-channel reactions involving light charged particles within the trap method.
基于我们之前关于陷阱法中库仑修正的工作[H. Zhang et al. Phys. Lett. B 850, 138490 (2024)]，我们以 He4=[H3+p]+[He3+n] 为例，扩展了耦合通道核反应中库仑修正的 Busch-Englert-Rzażewski-Wilkens 公式，并检验了其可靠性。得到的数值结果与传统方法基本一致。我们的工作为在陷阱法中分析涉及轻带电粒子的耦合通道反应奠定了一定的基础。
{"title":"Coupled-channels reactions for charged particles in harmonic traps","authors":"Hantao Zhang, Dong Bai, Zhongzhou Ren","doi":"10.1103/physrevc.110.034308","DOIUrl":"https://doi.org/10.1103/physrevc.110.034308","url":null,"abstract":"Based on our previous work about Coulomb corrections in the trap method [H. Zhang <i>et al.</i> <span>Phys. Lett. B</span> <b>850</b>, 138490 (2024)], we extend the Coulomb-corrected Busch-Englert-Rzażewski-Wilkens formula in coupled-channels nuclear reactions and examine the reliability by taking <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>He</mi><mprescripts></mprescripts><none></none><mn>4</mn></mmultiscripts><mo>=</mo><mo>[</mo><mmultiscripts><mi mathvariant=\"normal\">H</mi><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts><mo>+</mo><mi>p</mi><mo>]</mo><mo>+</mo><mo>[</mo><mmultiscripts><mi>He</mi><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts><mo>+</mo><mi>n</mi><mo>]</mo></mrow></math> as an example. The obtained numerical results are generally well consistent with conventional methods. Our work lays some groundwork for analyzing the coupled-channel reactions involving light charged particles within the trap method.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-10DOI: 10.1103/physrevc.110.034307
Amir Jalili, H. T. Fortune, Yan-An Luo, H. Sobhani, Aixi Chen, H. K. Wang, Feng Pan
The pairing model with configuration mixing has been applied to the odd- nucleus to study band mixing. Then, a simple two-state mixing model has been utilized for the two lowest ground and excited bands. Unique solutions were identified for the and mixing in both bands, as well as for the matrix elements connecting the basis states. The excited band exhibited greater collectivity compared to the ground-state band. The use of a quasispin pairing operator with configuration mixing significantly improves the model's accuracy, especially in replicating experimental data for positive parity states and transition rates.
{"title":"Pairing and two-state mixing models in Cs133","authors":"Amir Jalili, H. T. Fortune, Yan-An Luo, H. Sobhani, Aixi Chen, H. K. Wang, Feng Pan","doi":"10.1103/physrevc.110.034307","DOIUrl":"https://doi.org/10.1103/physrevc.110.034307","url":null,"abstract":"The pairing model with configuration mixing has been applied to the odd-<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>A</mi><mspace width=\"4pt\"></mspace><mmultiscripts><mi>Cs</mi><mprescripts></mprescripts><none></none><mn>133</mn></mmultiscripts></math> nucleus to study band mixing. Then, a simple two-state mixing model has been utilized for the two lowest ground and excited bands. Unique solutions were identified for the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>3</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mo>+</mo></msup></mrow></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>5</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mo>+</mo></msup></mrow></math> mixing in both bands, as well as for the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>E</mi><mn>2</mn></math> matrix elements connecting the basis states. The excited band exhibited greater collectivity compared to the ground-state band. The use of a quasispin pairing operator with configuration mixing significantly improves the model's accuracy, especially in replicating experimental data for positive parity states and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>E</mi><mn>2</mn></math> transition rates.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-10DOI: 10.1103/physrevc.110.035805
Mikhail V. Beznogov, Adriana R. Raduta
The nonrelativistic model of nuclear matter with Brussels extended Skyrme interactions is employed in order to build, within a Bayesian approach, models for the dense matter equation of state. In addition to a minimal set of constraints on nuclear empirical parameters, the density behavior of the energy per particle in pure neutron matter (PNM), and a lower limit on the maximum neutron star (NS) mass, we require that the Fermi velocity of neutrons () in PNM and symmetric nuclear matter (SNM) with densities up to (arbitrary) does not exceed the speed of light. The latter condition is imposed in order to cure a deficiency present in many Skyrme interactions [Duan and Urban, Phys. Rev. C108, 025813 (2023)]. We illustrate the importance of this constraint for the posterior distributions. Some of our models are subjected to constraints on the density dependence of neutron (nucleon) Landau effective mass in PNM (SNM), too. The impact of various sets of constraints on the behaviors of nuclear matter and NSs is discussed in detail. Systematic comparison with results previously obtained by employing Skyrme interactions is done for posteriors of both nuclear matter (NM) and NS parameters. Special attention is given to the model and constraints dependence of correlations among various quantities.
{"title":"Bayesian inference of the dense matter equation of state built upon extended Skyrme interactions","authors":"Mikhail V. Beznogov, Adriana R. Raduta","doi":"10.1103/physrevc.110.035805","DOIUrl":"https://doi.org/10.1103/physrevc.110.035805","url":null,"abstract":"The nonrelativistic model of nuclear matter with Brussels extended Skyrme interactions is employed in order to build, within a Bayesian approach, models for the dense matter equation of state. In addition to a minimal set of constraints on nuclear empirical parameters, the density behavior of the energy per particle in pure neutron matter (PNM), and a lower limit on the maximum neutron star (NS) mass, we require that the Fermi velocity of neutrons (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>v</mi><mrow><mi>F</mi><mo>;</mo><mspace width=\"0.16em\"></mspace><mi>n</mi></mrow></msub></math>) in PNM and symmetric nuclear matter (SNM) with densities up to <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>0.8</mn><mspace width=\"0.28em\"></mspace><msup><mi>fm</mi><mrow><mo>−</mo><mn>3</mn></mrow></msup></mrow></math> (arbitrary) does not exceed the speed of light. The latter condition is imposed in order to cure a deficiency present in many Skyrme interactions [Duan and Urban, <span>Phys. Rev. C</span> <b>108</b>, 025813 (2023)]. We illustrate the importance of this constraint for the posterior distributions. Some of our models are subjected to constraints on the density dependence of neutron (nucleon) Landau effective mass in PNM (SNM), too. The impact of various sets of constraints on the behaviors of nuclear matter and NSs is discussed in detail. Systematic comparison with results previously obtained by employing Skyrme interactions is done for posteriors of both nuclear matter (NM) and NS parameters. Special attention is given to the model and constraints dependence of correlations among various quantities.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-10DOI: 10.1103/physrevc.110.035806
Yu. A. Lashko, V. S. Vasilevsky, V. I. Zhaba
We determine cross sections and astrophysical factors of the reactions generated in collisions between and and between and . A microscopic three-cluster model is employed to study the dynamics of reactions occurring in the mirror nuclei and . In a previous study [Phys. Rev. C109, 045803 (2024)], this model was successfully applied to investigate the resonance structure of and , as well as reactions induced by the interaction of deuterons with and . A fairly good agreement between theoretical results and available experimental data was achieved. To the best of our knowledge, appropriate experimental data for the astrophysical factors of the reactions generated by the interaction of with and with are currently unavailable. Thus, our results can serve as a guideline for future experimental efforts.
{"title":"Theoretical analysis of the reactions induced by interaction of Li6 with H3 and He3 nuclei","authors":"Yu. A. Lashko, V. S. Vasilevsky, V. I. Zhaba","doi":"10.1103/physrevc.110.035806","DOIUrl":"https://doi.org/10.1103/physrevc.110.035806","url":null,"abstract":"We determine cross sections and astrophysical <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>S</mi></math> factors of the reactions generated in collisions between <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mn>6</mn></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi mathvariant=\"normal\">H</mi><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts></math> and between <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mn>6</mn></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>He</mi><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts></math>. A microscopic three-cluster model is employed to study the dynamics of reactions occurring in the mirror nuclei <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mn>9</mn></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi mathvariant=\"normal\">B</mi><mprescripts></mprescripts><none></none><mn>9</mn></mmultiscripts></math>. In a previous study [<span>Phys. Rev. C</span> <b>109</b>, 045803 (2024)], this model was successfully applied to investigate the resonance structure of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mn>9</mn></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi mathvariant=\"normal\">B</mi><mprescripts></mprescripts><none></none><mn>9</mn></mmultiscripts></math>, as well as reactions induced by the interaction of deuterons with <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mn>7</mn></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mn>7</mn></mmultiscripts></math>. A fairly good agreement between theoretical results and available experimental data was achieved. To the best of our knowledge, appropriate experimental data for the astrophysical <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>S</mi></math> factors of the reactions generated by the interaction of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mn>6</mn></mmultiscripts></math> with <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi mathvariant=\"normal\">H</mi><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts></math> and with <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>He</mi><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts></math> are currently unavailable. Thus, our results can serve as a guideline for future experimental efforts.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-09DOI: 10.1103/physrevc.110.034905
Yuxuan Dai, Shouxing Zhao, Min He
It has been traditionally hypothesized that the heavy quark (charm <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> and bottom <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>) fragmentation is universal across different collision systems, based on the notion that hadronization as a soft process should occur at the characteristic nonperturbative quantum chromodynamics (QCD) scale, <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="normal">Λ</mi><mrow><mi>Q</mi><mi>C</mi><mi>D</mi></mrow></msub></math>. However, this universality hypothesis has recently been challenged by the observation that the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math>- and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>-baryon production relative to their meson counterparts in minimum bias proton-proton (<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>p</mi><mi>p</mi></mrow></math>) collisions at the CERN Large Hadron Collider (LHC) energies is significantly enhanced as compared to the electron-positron (<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></math>) collisions. The conception of nonuniversality is unambiguously reinforced by the latest measurement of the charged-particle multiplicity dependence of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>-baryon–to–meson yield ratio, <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi mathvariant="normal">Λ</mi><mi>b</mi></msub><mo>/</mo><mi>B</mi></mrow></math>, by the LHCb experiment in <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn><mspace width="0.16em"></mspace><mi>TeV</mi><mspace width="4pt"></mspace><mi>p</mi><mi>p</mi></mrow></math> collisions at the LHC, evolving continuously from the saturation value in minimum bias <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>p</mi><mi>p</mi></mrow></math> collisions toward the small value in <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></math> collisions as the system size gradually reduces. We address the multiplicity dependence of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>-baryon production in the canonical statistical hadronization model with input <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>-hadron spectrum augmented with many hitherto unobserved states from quark model predictions. We demonstrate that the decreasing trend of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi mathvariant="normal">Λ</mi><mi>b</mi></msub><mo>/</mo><mi>B</mi></mrow></math> toward low multiplicities can be quantitatively understood from the canonical suppression on the yield of <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="normal">Λ</mi><m
{"title":"Nonuniversality of heavy quark hadronization in elementary high-energy collisions","authors":"Yuxuan Dai, Shouxing Zhao, Min He","doi":"10.1103/physrevc.110.034905","DOIUrl":"https://doi.org/10.1103/physrevc.110.034905","url":null,"abstract":"It has been traditionally hypothesized that the heavy quark (charm <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>c</mi></math> and bottom <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>b</mi></math>) fragmentation is universal across different collision systems, based on the notion that hadronization as a soft process should occur at the characteristic nonperturbative quantum chromodynamics (QCD) scale, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi mathvariant=\"normal\">Λ</mi><mrow><mi>Q</mi><mi>C</mi><mi>D</mi></mrow></msub></math>. However, this universality hypothesis has recently been challenged by the observation that the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>c</mi></math>- and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>b</mi></math>-baryon production relative to their meson counterparts in minimum bias proton-proton (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>p</mi><mi>p</mi></mrow></math>) collisions at the CERN Large Hadron Collider (LHC) energies is significantly enhanced as compared to the electron-positron (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></math>) collisions. The conception of nonuniversality is unambiguously reinforced by the latest measurement of the charged-particle multiplicity dependence of the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>b</mi></math>-baryon–to–meson yield ratio, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi mathvariant=\"normal\">Λ</mi><mi>b</mi></msub><mo>/</mo><mi>B</mi></mrow></math>, by the LHCb experiment in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn><mspace width=\"0.16em\"></mspace><mi>TeV</mi><mspace width=\"4pt\"></mspace><mi>p</mi><mi>p</mi></mrow></math> collisions at the LHC, evolving continuously from the saturation value in minimum bias <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>p</mi><mi>p</mi></mrow></math> collisions toward the small value in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></math> collisions as the system size gradually reduces. We address the multiplicity dependence of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>b</mi></math>-baryon production in the canonical statistical hadronization model with input <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>b</mi></math>-hadron spectrum augmented with many hitherto unobserved states from quark model predictions. We demonstrate that the decreasing trend of the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi mathvariant=\"normal\">Λ</mi><mi>b</mi></msub><mo>/</mo><mi>B</mi></mrow></math> toward low multiplicities can be quantitatively understood from the canonical suppression on the yield of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi mathvariant=\"normal\">Λ</mi><m","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-09DOI: 10.1103/physrevc.110.035802
A. Ray, P. Das, A. K. Sikdar
The significant increase in the (<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>L</mi></mrow><mo>/</mo><mrow><mi>K</mi></mrow></math>) ratio of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> implanted in tantalum, compared to that in mercury telluride, has been quantitatively explained by using <i>ab initio</i> density functional calculations. The result highlights the effect of lattice compression on the (<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>L</mi></mrow><mo>/</mo><mrow><mi>K</mi></mrow></math>) ratio of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math>. Predictions for the (<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>L</mi></mrow><mo>/</mo><mrow><mi>K</mi></mrow></math>) ratio in several untested cases have also been provided. Density functional calculations were employed to understand the notable <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo>(</mo><mrow><mo>≈</mo><mn>6</mn><mspace width="0.16em"></mspace><mi>eV</mi></mrow><mo>)</mo></mrow></math> downward shift observed in the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>K</mi></mrow></math> capture to the nuclear ground state (<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>K</mi></mrow></math>-GS) peak in the recoil energy spectrum of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> following the electron capture decay of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> implanted in a small tantalum lattice and the resulting reduced energy difference between the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>K</mi></mrow></math>-GS and <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>L</mi></mrow></math>-GS peaks. No such anomaly was observed when <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> was implanted in mercury telluride. The calculations predict that the chemical shifts of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow><mo> </mo><mrow><mn>1</mn><mi>s</mi></mrow></math> state for the implantation of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> in different media are <math xmlns="http://www.w3.org/1998/Math/M
{"title":"Effect of lattice compression on the Li7 recoil energy spectrum following electron capture decay of Be7","authors":"A. Ray, P. Das, A. K. Sikdar","doi":"10.1103/physrevc.110.035802","DOIUrl":"https://doi.org/10.1103/physrevc.110.035802","url":null,"abstract":"The significant increase in the (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>L</mi></mrow><mo>/</mo><mrow><mi>K</mi></mrow></math>) ratio of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> implanted in tantalum, compared to that in mercury telluride, has been quantitatively explained by using <i>ab initio</i> density functional calculations. The result highlights the effect of lattice compression on the (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>L</mi></mrow><mo>/</mo><mrow><mi>K</mi></mrow></math>) ratio of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math>. Predictions for the (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>L</mi></mrow><mo>/</mo><mrow><mi>K</mi></mrow></math>) ratio in several untested cases have also been provided. Density functional calculations were employed to understand the notable <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mo>(</mo><mrow><mo>≈</mo><mn>6</mn><mspace width=\"0.16em\"></mspace><mi>eV</mi></mrow><mo>)</mo></mrow></math> downward shift observed in the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>K</mi></mrow></math> capture to the nuclear ground state (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>K</mi></mrow></math>-GS) peak in the recoil energy spectrum of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> following the electron capture decay of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> implanted in a small tantalum lattice and the resulting reduced energy difference between the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>K</mi></mrow></math>-GS and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>L</mi></mrow></math>-GS peaks. No such anomaly was observed when <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Be</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> was implanted in mercury telluride. The calculations predict that the chemical shifts of the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow><mo> </mo><mrow><mn>1</mn><mi>s</mi></mrow></math> state for the implantation of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mmultiscripts><mi>Li</mi><mprescripts></mprescripts><none></none><mrow><mn>7</mn></mrow></mmultiscripts></mrow></math> in different media are <math xmlns=\"http://www.w3.org/1998/Math/M","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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