In open quantum many-body systems, the theoretical description of resonant states of many particles strongly coupled to the continuum can be challenging. Such states are commonplace in, for example, exotic nuclei and hadrons, and can reveal important information about the underlying forces at play in these systems. In this work, we demonstrate that the complex-augmented eigenvector continuation (CA-EC) method, originally formulated for the two-body problem with uniform complex scaling, can reliably perform bound-to-resonance extrapolations for genuine three-body resonances having no bound subsystems. We first establish that three-body bound-to-resonance extrapolations are possible by benchmarking different few-body approaches, and we provide arguments to explain how the extrapolation works in the many-body case. We furthermore pave the way towards scalable resonance extrapolations in many-body systems by showing that the CA-EC method also works in the Berggren basis, studying a realistic application using the Gamow shell model.
{"title":"Towards scalable bound-to-resonance extrapolations for few- and many-body systems","authors":"Nuwan Yapa, Sebastian König, Kévin Fossez","doi":"arxiv-2409.03116","DOIUrl":"https://doi.org/arxiv-2409.03116","url":null,"abstract":"In open quantum many-body systems, the theoretical description of resonant\u0000states of many particles strongly coupled to the continuum can be challenging.\u0000Such states are commonplace in, for example, exotic nuclei and hadrons, and can\u0000reveal important information about the underlying forces at play in these\u0000systems. In this work, we demonstrate that the complex-augmented eigenvector\u0000continuation (CA-EC) method, originally formulated for the two-body problem\u0000with uniform complex scaling, can reliably perform bound-to-resonance\u0000extrapolations for genuine three-body resonances having no bound subsystems. We\u0000first establish that three-body bound-to-resonance extrapolations are possible\u0000by benchmarking different few-body approaches, and we provide arguments to\u0000explain how the extrapolation works in the many-body case. We furthermore pave\u0000the way towards scalable resonance extrapolations in many-body systems by\u0000showing that the CA-EC method also works in the Berggren basis, studying a\u0000realistic application using the Gamow shell model.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"185 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
E. C. Pinilla, W. Leidemann, G. Orlandini, P. Descouvemont
We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier transformed to provide non-local potentials in configuration space. We use hyperspherical coordinates in combination with the Lagrange-mesh technique to compute the ground state energy, root mean square radius and the E1 strength distribution of $^6$He. We also introduce a three-body interaction to eliminate dependencies on the cutoff parameter of the two-body potentials on the ground state energy. The E1 strength distribution exhibits a low lying resonance as expected. However it is strongly influenced by the choice of the three-body EFT interaction.
{"title":"Three-body model of $^{6}$He with non-local halo effective field theory potentials","authors":"E. C. Pinilla, W. Leidemann, G. Orlandini, P. Descouvemont","doi":"arxiv-2409.03074","DOIUrl":"https://doi.org/arxiv-2409.03074","url":null,"abstract":"We study the $^6$He Borromean nucleus in coordinate representation within a\u0000three-body model with two-body potentials derived from cluster effective field\u0000theory (EFT). These potentials are originally developed in momentum space and\u0000Fourier transformed to provide non-local potentials in configuration space. We\u0000use hyperspherical coordinates in combination with the Lagrange-mesh technique\u0000to compute the ground state energy, root mean square radius and the E1 strength\u0000distribution of $^6$He. We also introduce a three-body interaction to eliminate\u0000dependencies on the cutoff parameter of the two-body potentials on the ground\u0000state energy. The E1 strength distribution exhibits a low lying resonance as\u0000expected. However it is strongly influenced by the choice of the three-body EFT\u0000interaction.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"45 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Purpose: We aim to investigate the role of a few neutron transfer channels on the dynamics of fusion reactions around the Coulomb barrier by judicially selecting 11 different $^{28,30}$Si-induced systems. These reactions are chosen in such a way that they possess positive and negative Q-values for neutron transfer channels to make the comparison more apparent. Furthermore, a comparative study on fusion barrier parameters using different proximity potentials and parametrizations is also a prime goal. Method: A channel coupling approach within the framework of a semiclassical model is being used to investigate the role of multi-neutron transfer with positive Q-values on fusion phenomena near and below the Coulomb barrier. The fusion barrier parameters have been extracted and analyzed within the framework of seven different potential models. Results: The sub-barrier fusion enhancement compared to the one-dimensional barrier penetration model (uncoupled) is investigated by considering collective excitations in colliding nuclei and multi-neutron transfer channels with Q $>$ 0 within the channel coupling model. Furthermore, GRAZING calculations are performed to predict the cross-section of target-like fragments after 2n pickup transfer. Conclusion: All the fusion excitation functions (EFs) have been successfully explained by the coupled channel calculations using the channel coupling model. Only the significant effect of up to 2n pickup transfer with Q $>$ 0 was found on sub-barrier fusion. Despite having positive Q values for transfer channels, no noticeable impact of more than 2n transfer was observed. GRAZING predictions are grossly in the same order as the quantitative contribution of 2n transfer channels observed by channel coupling model calculations.
{"title":"Deciphering the influence of neutron transfer in Si-based fusion reactions around the Coulomb barrier","authors":"Rinku Prajapat","doi":"arxiv-2409.03101","DOIUrl":"https://doi.org/arxiv-2409.03101","url":null,"abstract":"Purpose: We aim to investigate the role of a few neutron transfer channels on\u0000the dynamics of fusion reactions around the Coulomb barrier by judicially\u0000selecting 11 different $^{28,30}$Si-induced systems. These reactions are chosen\u0000in such a way that they possess positive and negative Q-values for neutron\u0000transfer channels to make the comparison more apparent. Furthermore, a\u0000comparative study on fusion barrier parameters using different proximity\u0000potentials and parametrizations is also a prime goal. Method: A channel coupling approach within the framework of a semiclassical\u0000model is being used to investigate the role of multi-neutron transfer with\u0000positive Q-values on fusion phenomena near and below the Coulomb barrier. The\u0000fusion barrier parameters have been extracted and analyzed within the framework\u0000of seven different potential models. Results: The sub-barrier fusion enhancement compared to the one-dimensional\u0000barrier penetration model (uncoupled) is investigated by considering collective\u0000excitations in colliding nuclei and multi-neutron transfer channels with Q $>$\u00000 within the channel coupling model. Furthermore, GRAZING calculations are\u0000performed to predict the cross-section of target-like fragments after 2n pickup\u0000transfer. Conclusion: All the fusion excitation functions (EFs) have been successfully\u0000explained by the coupled channel calculations using the channel coupling model.\u0000Only the significant effect of up to 2n pickup transfer with Q $>$ 0 was found\u0000on sub-barrier fusion. Despite having positive Q values for transfer channels,\u0000no noticeable impact of more than 2n transfer was observed. GRAZING predictions\u0000are grossly in the same order as the quantitative contribution of 2n transfer\u0000channels observed by channel coupling model calculations.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The charmed $ Lambda_{c}^{+} $ hypernuclei are investigated within the framework of the density-dependent relativistic mean-field (DDRMF) theory. Starting from the empirical hyperon potential in symmetric nuclear matter, obtained through microscopic first-principle calculations, two sets of $Lambda_c N$ effective interactions were derived by fitting the potentials with minimal uncertainty (Fermi momentum $k_{F,n} = 1.05~rm{fm}^{-1}$) and near saturation density ($k_{F,n} = 1.35~rm{fm}^{-1}$). These DDRMF models were then used to explore the $Lambda_{c} N$ effective interaction uncertainties on the description of hypernuclear bulk and single-particle properties. A systematic investigation was conducted on the existence of bound $Lambda_{c}^{+}$ hypernuclei. The dominant factors affecting the existence and stability of hypernuclei were analyzed from the perspective of the $Lambda_{c}^{+}$ potential. It is found that the hyperon potential is not only influenced by the Coulomb repulsion, but by an extra contribution from the rearrangement terms due to the density dependence of the meson-baryon coupling strengths. Therefore, the rearrangement term significantly impacts the stability description for light hypernuclei, while for heavier hypernuclei, the contribution from Coulomb repulsion becomes increasingly significant and eventually dominant. The discussion then delves into the bulk and single-particle properties of charmed hypernuclei using these models. It is found that even when different models yield similar hyperon potentials for nuclear matter, different treatments of nuclear medium effects could lead to disparities in the theoretical description of hypernuclear structures. This study indicates that constraints on the $ Lambda_{c} N $ interaction at finite densities are crucial for the study of $ Lambda_{c}^{+} $ hypernuclear structures.
{"title":"Charmed hypernuclei within density-dependent relativistic mean-field theory","authors":"Wei Yang, Shi Yuan Ding, Bao Yuan Sun","doi":"arxiv-2408.04527","DOIUrl":"https://doi.org/arxiv-2408.04527","url":null,"abstract":"The charmed $ Lambda_{c}^{+} $ hypernuclei are investigated within the\u0000framework of the density-dependent relativistic mean-field (DDRMF) theory.\u0000Starting from the empirical hyperon potential in symmetric nuclear matter,\u0000obtained through microscopic first-principle calculations, two sets of\u0000$Lambda_c N$ effective interactions were derived by fitting the potentials\u0000with minimal uncertainty (Fermi momentum $k_{F,n} = 1.05~rm{fm}^{-1}$) and\u0000near saturation density ($k_{F,n} = 1.35~rm{fm}^{-1}$). These DDRMF models\u0000were then used to explore the $Lambda_{c} N$ effective interaction\u0000uncertainties on the description of hypernuclear bulk and single-particle\u0000properties. A systematic investigation was conducted on the existence of bound\u0000$Lambda_{c}^{+}$ hypernuclei. The dominant factors affecting the existence and\u0000stability of hypernuclei were analyzed from the perspective of the\u0000$Lambda_{c}^{+}$ potential. It is found that the hyperon potential is not only\u0000influenced by the Coulomb repulsion, but by an extra contribution from the\u0000rearrangement terms due to the density dependence of the meson-baryon coupling\u0000strengths. Therefore, the rearrangement term significantly impacts the\u0000stability description for light hypernuclei, while for heavier hypernuclei, the\u0000contribution from Coulomb repulsion becomes increasingly significant and\u0000eventually dominant. The discussion then delves into the bulk and\u0000single-particle properties of charmed hypernuclei using these models. It is\u0000found that even when different models yield similar hyperon potentials for\u0000nuclear matter, different treatments of nuclear medium effects could lead to\u0000disparities in the theoretical description of hypernuclear structures. This\u0000study indicates that constraints on the $ Lambda_{c} N $ interaction at finite\u0000densities are crucial for the study of $ Lambda_{c}^{+} $ hypernuclear\u0000structures.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rajkumar Mondal, Sourav Duari, Nilanjan Chaudhuri, Sourav Sarkar, Pradip Roy
We study the characteristics of quark matter under the influence of a background magnetic field with anomalous magnetic moment (AMM) of quarks at finite temperature and quark chemical potential in the framework of Polyakov loop extended Nambu Jona-Lasinio (PNJL) model. In presence of a magnetic field, the speed of sound and isothermal compressibility become anisotropic with respect to the direction of the background magnetic field, splitting into parallel and perpendicular directions with respect to the magnetic field. Though the qualitative nature of parallel and perpendicular components of squared speed of sound appear similar, they differ in magnitude at lower values of temperature. The parallel and perpendicular components of isothermal compressibility decrease with increasing temperature, indicating a trend towards increased incompressible strongly interacting matter. On inclusion of the AMM of quarks, the perpendicular component of isothermal compressibility becomes greater than the parallel component. Additionally, we investigate the quark number susceptibility normalized by its value at zero magnetic field, which may indicate the presence of magnetic fields in the system.
{"title":"Speed of sound and isothermal compressibility in a magnetized quark matter with anomalous magnetic moment of quarks","authors":"Rajkumar Mondal, Sourav Duari, Nilanjan Chaudhuri, Sourav Sarkar, Pradip Roy","doi":"arxiv-2408.04398","DOIUrl":"https://doi.org/arxiv-2408.04398","url":null,"abstract":"We study the characteristics of quark matter under the influence of a\u0000background magnetic field with anomalous magnetic moment (AMM) of quarks at\u0000finite temperature and quark chemical potential in the framework of Polyakov\u0000loop extended Nambu Jona-Lasinio (PNJL) model. In presence of a magnetic field,\u0000the speed of sound and isothermal compressibility become anisotropic with\u0000respect to the direction of the background magnetic field, splitting into\u0000parallel and perpendicular directions with respect to the magnetic field.\u0000Though the qualitative nature of parallel and perpendicular components of\u0000squared speed of sound appear similar, they differ in magnitude at lower values\u0000of temperature. The parallel and perpendicular components of isothermal\u0000compressibility decrease with increasing temperature, indicating a trend\u0000towards increased incompressible strongly interacting matter. On inclusion of\u0000the AMM of quarks, the perpendicular component of isothermal compressibility\u0000becomes greater than the parallel component. Additionally, we investigate the\u0000quark number susceptibility normalized by its value at zero magnetic field,\u0000which may indicate the presence of magnetic fields in the system.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Cong Yi, Xiang-Yu Wu, Jie Zhu, Shi Pu, Guang-You Qin
We have implemented the 3+1 dimensional CLVisc hydrodynamics model with TRENTO-3D initial conditions to investigate the spin polarization of $Lambda$ hyperons along the beam direction in p+Pb collisions at $sqrt{s_{NN}} = 8.16$ TeV. Following our previous theoretical framework based on quantum kinetic theory, we consider three different scenarios: $Lambda$ equilibrium, $s$ quark equilibrium, and iso-thermal equilibrium scenarios. We have computed the second Fourier sine coefficients of spin polarization along the beam direction, denoted as $leftlangle P_{z} sin 2(phi_{p} - Psi_{2}) rightrangle$, with $phi_p$ being the azimuthal angle relative to the second-order event plane $Psi_{2}$, as functions of multiplicity and transverse momentum in the three scenarios. Additionally, we have also computed the spin polarization along the beam direction, $P_{z}$, as a function of the azimuthal angle. We find that the spin polarization induced by thermal vorticity always provides an opposite contribution compared to the shear-induced polarization in p+Pb collisions. The total spin polarization computed by the current hydrodynamic model disagrees with the data measured by LHC-CMS experiments. Our findings imply that other non-flow effects may play a crucial role in p+Pb collisions.
{"title":"Spin polarization of $Λ$ hyperons along beam direction in p+Pb collisions at $sqrt{s_{NN}}=8.16$ TeV using hydrodynamic approaches","authors":"Cong Yi, Xiang-Yu Wu, Jie Zhu, Shi Pu, Guang-You Qin","doi":"arxiv-2408.04296","DOIUrl":"https://doi.org/arxiv-2408.04296","url":null,"abstract":"We have implemented the 3+1 dimensional CLVisc hydrodynamics model with\u0000TRENTO-3D initial conditions to investigate the spin polarization of $Lambda$\u0000hyperons along the beam direction in p+Pb collisions at $sqrt{s_{NN}} = 8.16$\u0000TeV. Following our previous theoretical framework based on quantum kinetic\u0000theory, we consider three different scenarios: $Lambda$ equilibrium, $s$ quark\u0000equilibrium, and iso-thermal equilibrium scenarios. We have computed the second\u0000Fourier sine coefficients of spin polarization along the beam direction,\u0000denoted as $leftlangle P_{z} sin 2(phi_{p} - Psi_{2}) rightrangle$, with\u0000$phi_p$ being the azimuthal angle relative to the second-order event plane\u0000$Psi_{2}$, as functions of multiplicity and transverse momentum in the three\u0000scenarios. Additionally, we have also computed the spin polarization along the\u0000beam direction, $P_{z}$, as a function of the azimuthal angle. We find that the\u0000spin polarization induced by thermal vorticity always provides an opposite\u0000contribution compared to the shear-induced polarization in p+Pb collisions. The\u0000total spin polarization computed by the current hydrodynamic model disagrees\u0000with the data measured by LHC-CMS experiments. Our findings imply that other\u0000non-flow effects may play a crucial role in p+Pb collisions.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
F. A. Rasulova, S. S. Belyshev, M. A. Demichev, D. L. Demin, S. A. Evseev, N. Yu. Fursova, M. I. Gostkin, J. H. Khushvaktov, V. V. Kobets, A. A. Kuznetsov, S. V. Rozov, E. T. Ruziev, A. A. Solnyshkin, T. N. Tran, E. A. Yakushev, B. S. Yuldashev
Relative yields have been measured in the 40-130 MeV bremsstrahlung induced reactions of 59Co. The experiments have been performed with the beam from the electron linear accelerator LINAC-200 using the activation and off-line {gamma}-ray spectrometric technique. The bremsstrahlung photon flux has been calculated with the Geant4 program. The cross sections were calculated by using computer code TALYS-1.96 with different models and are found to be in good agreement with the experimental data.
{"title":"Photonuclear reactions on $^{59}$Co at bremsstrahlung end-point energies of 40-130 MeV","authors":"F. A. Rasulova, S. S. Belyshev, M. A. Demichev, D. L. Demin, S. A. Evseev, N. Yu. Fursova, M. I. Gostkin, J. H. Khushvaktov, V. V. Kobets, A. A. Kuznetsov, S. V. Rozov, E. T. Ruziev, A. A. Solnyshkin, T. N. Tran, E. A. Yakushev, B. S. Yuldashev","doi":"arxiv-2408.04252","DOIUrl":"https://doi.org/arxiv-2408.04252","url":null,"abstract":"Relative yields have been measured in the 40-130 MeV bremsstrahlung induced\u0000reactions of 59Co. The experiments have been performed with the beam from the\u0000electron linear accelerator LINAC-200 using the activation and off-line\u0000{gamma}-ray spectrometric technique. The bremsstrahlung photon flux has been\u0000calculated with the Geant4 program. The cross sections were calculated by using\u0000computer code TALYS-1.96 with different models and are found to be in good\u0000agreement with the experimental data.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, we assess the effectiveness and robustness of the recently proposed $T'$-expansion scheme for expanding the equation of state of strongly interacting matter to finite density, by comparing its performance relative to the conventional Taylor expansion method in various effective QCD models. We use baryon number density and its susceptibilities to calculate the expansion coefficients in the $T'$-expansion scheme with and without the Stefan-Boltzmann limit correction. Our methodology involves comparing truncation orders to exact solutions to assess the scheme's accuracy. We utilize Ideal, Excluded Volume, and van der Waals formulations of the Hadron Resonance Gas (HRG) model at low temperatures, and the Cluster Expansion Model at higher temperatures. Our findings indicate that the $T'$-expansion scheme offers superior convergence properties near and above the chiral crossover temperature, where the chiral-criticality-inspired scaling $(partial/ partial T)_{mu_B} sim (partial^2/partial mu_B^2)_T$ holds. However, it shows limited improvement in the HRG models, indicating that it may not be the most suitable choice for describing the hadronic phase.
{"title":"Convergence properties of $T'$-Expansion Scheme: Hadron Resonance Gas and Cluster Expansion Model","authors":"Micheal Kahangirwe, Irene Gonzalez, Jorge A. Muñoz, Claudia Ratti, Volodymyr Vovchenko","doi":"arxiv-2408.04588","DOIUrl":"https://doi.org/arxiv-2408.04588","url":null,"abstract":"In this study, we assess the effectiveness and robustness of the recently\u0000proposed $T'$-expansion scheme for expanding the equation of state of strongly\u0000interacting matter to finite density, by comparing its performance relative to\u0000the conventional Taylor expansion method in various effective QCD models. We\u0000use baryon number density and its susceptibilities to calculate the expansion\u0000coefficients in the $T'$-expansion scheme with and without the Stefan-Boltzmann\u0000limit correction. Our methodology involves comparing truncation orders to exact\u0000solutions to assess the scheme's accuracy. We utilize Ideal, Excluded Volume,\u0000and van der Waals formulations of the Hadron Resonance Gas (HRG) model at low\u0000temperatures, and the Cluster Expansion Model at higher temperatures. Our\u0000findings indicate that the $T'$-expansion scheme offers superior convergence\u0000properties near and above the chiral crossover temperature, where the\u0000chiral-criticality-inspired scaling $(partial/ partial T)_{mu_B} sim\u0000(partial^2/partial mu_B^2)_T$ holds. However, it shows limited improvement\u0000in the HRG models, indicating that it may not be the most suitable choice for\u0000describing the hadronic phase.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A phenomenological mass-energy dependent proton optical model potential has been computed for p-nuclei. The parameters of the Wood-Saxon optical potential are found to be a good fit for proton elastic scattering data involving p-nuclei and elements with mass numbers near p-nuclei (within the range of 74 < A < 148) at energies around the Coulomb barrier of the system. The elastic scattering data were meticulously fitted using the SFRESCO code, allowing for the calculation of the real and imaginary parts of the Wood Saxon optical potential. To validate the model, experimental proton capture cross-sections for 106Cd and 113In near the Coulomb barrier were compared with results obtained using the TALYS-1.96 code, showing better agreement than the available global proton optical model potential.
针对 p 核计算了一个与质量能量相关的质子光学模型势。发现伍德-撒克逊光学势的参数很好地拟合了涉及 p 核和质量数接近 p 核（在 74
{"title":"The Wood-Saxon proton optical potential for p-nuclei","authors":"Sukhendu Saha, Dipali Basak, Chinmay Basu","doi":"arxiv-2408.03697","DOIUrl":"https://doi.org/arxiv-2408.03697","url":null,"abstract":"A phenomenological mass-energy dependent proton optical model potential has\u0000been computed for p-nuclei. The parameters of the Wood-Saxon optical potential\u0000are found to be a good fit for proton elastic scattering data involving\u0000p-nuclei and elements with mass numbers near p-nuclei (within the range of 74 <\u0000A < 148) at energies around the Coulomb barrier of the system. The elastic\u0000scattering data were meticulously fitted using the SFRESCO code, allowing for\u0000the calculation of the real and imaginary parts of the Wood Saxon optical\u0000potential. To validate the model, experimental proton capture cross-sections\u0000for 106Cd and 113In near the Coulomb barrier were compared with results\u0000obtained using the TALYS-1.96 code, showing better agreement than the available\u0000global proton optical model potential.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A loosely bound hadronic molecule produced by a relativistic heavy-ion collision has been described as a "snowball in hell" since it emerges from a hadron gas whose temperature is orders of magnitude larger than the binding energy of the molecule. This remarkable phenomenon can be explained in terms of a novel thermodynamic variable called the "contact" that is conjugate to the binding momentum of the molecule. The production rate of the molecule can be expressed in terms of the contact density at the kinetic freezeout of the hadron gas. It approaches a nonzero limit as the binding energy goes to 0.
{"title":"How the Contact Can Produce Snowballs from Hell","authors":"Eric Braaten, Kevin Ingles, Justin Pickett","doi":"arxiv-2408.03935","DOIUrl":"https://doi.org/arxiv-2408.03935","url":null,"abstract":"A loosely bound hadronic molecule produced by a relativistic heavy-ion\u0000collision has been described as a \"snowball in hell\" since it emerges from a\u0000hadron gas whose temperature is orders of magnitude larger than the binding\u0000energy of the molecule. This remarkable phenomenon can be explained in terms of\u0000a novel thermodynamic variable called the \"contact\" that is conjugate to the\u0000binding momentum of the molecule. The production rate of the molecule can be\u0000expressed in terms of the contact density at the kinetic freezeout of the\u0000hadron gas. It approaches a nonzero limit as the binding energy goes to 0.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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