The way a relativistic system approaches fluid dynamical behaviour can be understood physically through the signals that will contribute to its linear response to perturbations. What these signals are is captured in the analytic structure of the retarded correlation function. The non-analyticities can be grouped into three types based on their dimension in the complex frequency plane. In this paper, we will use kinetic theory to find how we can calculate their corresponding signals. In the most general case of a system with particles that have a continuum of thermalization rates, we find that a non-analytic region appears. To calculate its signal, we introduce the non-analytic area density that describes the properties of this region, and we construct a method to calculate it. Further, to take into account the ambiguity present in signal analysis, following from manipulations of the non-analyticities, we will identify two specific choices called pictures with interesting analytic properties and compare in what scenarios each picture is most useful.
{"title":"New insights into the analytic structure of correlation functions via kinetic theory","authors":"Robbe Brants","doi":"arxiv-2409.09022","DOIUrl":"https://doi.org/arxiv-2409.09022","url":null,"abstract":"The way a relativistic system approaches fluid dynamical behaviour can be\u0000understood physically through the signals that will contribute to its linear\u0000response to perturbations. What these signals are is captured in the analytic\u0000structure of the retarded correlation function. The non-analyticities can be\u0000grouped into three types based on their dimension in the complex frequency\u0000plane. In this paper, we will use kinetic theory to find how we can calculate\u0000their corresponding signals. In the most general case of a system with\u0000particles that have a continuum of thermalization rates, we find that a\u0000non-analytic region appears. To calculate its signal, we introduce the\u0000non-analytic area density that describes the properties of this region, and we\u0000construct a method to calculate it. Further, to take into account the ambiguity\u0000present in signal analysis, following from manipulations of the\u0000non-analyticities, we will identify two specific choices called pictures with\u0000interesting analytic properties and compare in what scenarios each picture is\u0000most useful.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142263029","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}
Dana Avramescu, Vincenzo Greco, Tuomas Lappi, Heikki Mäntysaari, David Müller
We study the phenomenological impact of the pre-equilibrium glasma initial stage of heavy-ion collisions on heavy quark azimuthal correlations and spectra. Using our numerical solver, we simulate the transport of heavy quark test particles in an SU(3) glasma background field. The glasma field equations are formulated using classical real-time lattice gauge theory, and the heavy quark dynamics are described by classical transport equations numerically solved using the colored particle-in-cell method. For the first time, the effect of the glasma stage on the azimuthal correlations of $coverline{c}$ and $boverline{b}$ pairs is studied. The resulting azimuthal width $sigma_{Deltaphi}$ exhibits a large and quick decorrelation due to the strong glasma fields. Further, we evaluate how the $p_T$-broadening in the glasma affects heavy quark $p_T$-spectra, which are initialized according to the FONLL heavy quark production calculation. The nuclear modification factor $R_{AA}$ is extracted for $c$ and $b$ quarks in the glasma and additional nuclear PDF effects accounting for gluon shadowing are included.
{"title":"The impact of glasma on heavy flavor azimuthal correlations and spectra","authors":"Dana Avramescu, Vincenzo Greco, Tuomas Lappi, Heikki Mäntysaari, David Müller","doi":"arxiv-2409.10564","DOIUrl":"https://doi.org/arxiv-2409.10564","url":null,"abstract":"We study the phenomenological impact of the pre-equilibrium glasma initial\u0000stage of heavy-ion collisions on heavy quark azimuthal correlations and\u0000spectra. Using our numerical solver, we simulate the transport of heavy quark\u0000test particles in an SU(3) glasma background field. The glasma field equations\u0000are formulated using classical real-time lattice gauge theory, and the heavy\u0000quark dynamics are described by classical transport equations numerically\u0000solved using the colored particle-in-cell method. For the first time, the\u0000effect of the glasma stage on the azimuthal correlations of $coverline{c}$ and\u0000$boverline{b}$ pairs is studied. The resulting azimuthal width\u0000$sigma_{Deltaphi}$ exhibits a large and quick decorrelation due to the\u0000strong glasma fields. Further, we evaluate how the $p_T$-broadening in the\u0000glasma affects heavy quark $p_T$-spectra, which are initialized according to\u0000the FONLL heavy quark production calculation. The nuclear modification factor\u0000$R_{AA}$ is extracted for $c$ and $b$ quarks in the glasma and additional\u0000nuclear PDF effects accounting for gluon shadowing are included.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142263013","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}
Amine Chabane, Lisa Engel, Tom Reichert, Jan Steinheimer, Marcus Bleicher
The energy and centrality dependence of the kaon resonance ratio $(K^{*0}+Bar{K}^{*0})/(K^+ + K^-)$ is explored in the RHIC-BES and CBM-FAIR energy regime. To this aim, the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model is employed to simulate reconstructable $K^{*}$ resonances in Au+Au and p+p collisions from $sqrt{s_{text{NN}}}=3-39$ GeV. We obtain a good description of the resonance yields and mean transverse momenta over the whole investigated energy range. The decrease of the $K^*/K$ ratio, with increasing centrality is in line with the available experimental data. We also observe the experimenatlly measured increase in $langle p_{text{T}}rangle$ with increasing centrality which is interpreted as a lower reconstruction probability of low-$p_{text{T}}$ $K^*$ due to the $p_{text{T}}$ dependent absorption of the decay daughter hadrons. We conclude that the observed suppression of reconstructable $K^{*}$ resonances provides a strong sign of an extended hadronic rescattering stage at all investigated energies. Its duration increases from peripheral to central reactions as expected. Following a method, suggested by the STAR experiment, the "duration" of the hadronic stage is extracted using the $K^*/K$ ratios at chemical and kinetic freeze-out. The resulting lifetimes are in good agreement with the experimental data, but much shorter than the actual lifetime of the hadronic phase in the transport simulation. This indicates that the experimental method to estimate the life time of the hadronic stage is too simplified.
{"title":"Resonance suppression during the hadronic stage from the FAIR to the intermediate RHIC energy regime","authors":"Amine Chabane, Lisa Engel, Tom Reichert, Jan Steinheimer, Marcus Bleicher","doi":"arxiv-2409.08639","DOIUrl":"https://doi.org/arxiv-2409.08639","url":null,"abstract":"The energy and centrality dependence of the kaon resonance ratio\u0000$(K^{*0}+Bar{K}^{*0})/(K^+ + K^-)$ is explored in the RHIC-BES and CBM-FAIR\u0000energy regime. To this aim, the Ultra-relativistic Quantum Molecular Dynamics\u0000(UrQMD) model is employed to simulate reconstructable $K^{*}$ resonances in\u0000Au+Au and p+p collisions from $sqrt{s_{text{NN}}}=3-39$ GeV. We obtain a good\u0000description of the resonance yields and mean transverse momenta over the whole\u0000investigated energy range. The decrease of the $K^*/K$ ratio, with increasing\u0000centrality is in line with the available experimental data. We also observe the\u0000experimenatlly measured increase in $langle p_{text{T}}rangle$ with\u0000increasing centrality which is interpreted as a lower reconstruction\u0000probability of low-$p_{text{T}}$ $K^*$ due to the $p_{text{T}}$ dependent\u0000absorption of the decay daughter hadrons. We conclude that the observed\u0000suppression of reconstructable $K^{*}$ resonances provides a strong sign of an\u0000extended hadronic rescattering stage at all investigated energies. Its duration\u0000increases from peripheral to central reactions as expected. Following a method,\u0000suggested by the STAR experiment, the \"duration\" of the hadronic stage is\u0000extracted using the $K^*/K$ ratios at chemical and kinetic freeze-out. The\u0000resulting lifetimes are in good agreement with the experimental data, but much\u0000shorter than the actual lifetime of the hadronic phase in the transport\u0000simulation. This indicates that the experimental method to estimate the life\u0000time of the hadronic stage is too simplified.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269887","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}
Ke Yang, Tianbo Liu, Peng Sun, Yuxiang Zhao, Bo-Qiang Ma
We report on the first global analysis of transverse momentum dependent helicity distributions of the proton. The analysis is performed at next-to-leading order with the evolution factor at next-to-next-to-leading-logarithmic accuracy. Nonzero signals are determined for up and down quarks and their $k_T$-integrated polarization are consistent with analyses in collinear factorization, while the distributions of other flavors are loosely constrained by existing data. With increasing transverse momentum, quarks at large $x$ become less polarized while those at small $x$ become more polarized.
我们报告了对质子横向动量相关性分布的首次全局分析。该分析是在次领先阶进行的，其演化因子达到了次领先对数精度。确定了上下夸克的非零信号，它们的 $k_T$ 积分极化与对偶因式分解的分析一致，而其他性质的分布则受到现有数据的松散约束。随着横动量的增加，大 x 值的夸克极化程度降低，而小 x 值的夸克极化程度提高。
{"title":"First Extraction of Transverse Momentum Dependent Helicity Distributions","authors":"Ke Yang, Tianbo Liu, Peng Sun, Yuxiang Zhao, Bo-Qiang Ma","doi":"arxiv-2409.08110","DOIUrl":"https://doi.org/arxiv-2409.08110","url":null,"abstract":"We report on the first global analysis of transverse momentum dependent\u0000helicity distributions of the proton. The analysis is performed at\u0000next-to-leading order with the evolution factor at\u0000next-to-next-to-leading-logarithmic accuracy. Nonzero signals are determined\u0000for up and down quarks and their $k_T$-integrated polarization are consistent\u0000with analyses in collinear factorization, while the distributions of other\u0000flavors are loosely constrained by existing data. With increasing transverse\u0000momentum, quarks at large $x$ become less polarized while those at small $x$\u0000become more polarized.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206798","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}
As one of the predictions of perturbative QCD, the effect of color transparency has been the focus of attention in the community studying modifications of hadrons in nuclear medium for several decades. The search for this effect in reactions involving heavy nuclei can be complicated by uncertainties in nuclear characteristics (nucleon density distributions and wave functions), which can affect the interpretation of experiments. In this work, we consider the reaction $d(p,pp)n$ at $p_{rm lab}=15$ GeV/c caused by hard elastic $pp$ scattering, in which these uncertainties are actually reduced to the behavior of the deuteron wave function at large momenta. It is shown that for transverse momenta of the spectator neutron $leq 0.4$ GeV/c the choice of the deuteron wave function cannot affect the identification of the color transparency effect. A simple method for studying color transparency in $dd$ collisions is also suggested based on the identification of quasi-free $pd$ interactions.
{"title":"Color transparency in hard $pd$ collisions","authors":"A. B. Larionov","doi":"arxiv-2409.07845","DOIUrl":"https://doi.org/arxiv-2409.07845","url":null,"abstract":"As one of the predictions of perturbative QCD, the effect of color\u0000transparency has been the focus of attention in the community studying\u0000modifications of hadrons in nuclear medium for several decades. The search for\u0000this effect in reactions involving heavy nuclei can be complicated by\u0000uncertainties in nuclear characteristics (nucleon density distributions and\u0000wave functions), which can affect the interpretation of experiments. In this\u0000work, we consider the reaction $d(p,pp)n$ at $p_{rm lab}=15$ GeV/c caused by\u0000hard elastic $pp$ scattering, in which these uncertainties are actually reduced\u0000to the behavior of the deuteron wave function at large momenta. It is shown\u0000that for transverse momenta of the spectator neutron $leq 0.4$ GeV/c the\u0000choice of the deuteron wave function cannot affect the identification of the\u0000color transparency effect. A simple method for studying color transparency in\u0000$dd$ collisions is also suggested based on the identification of quasi-free\u0000$pd$ interactions.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206797","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}
We examine the framework of relativistic spin-hydrodynamics in the context of electron hydrodynamics in graphene. We develop a spin-hydrodynamic model for a (2 + 1)-dimensional system of fermions under the condition of small spin polarization. Our analysis confirms that thermal vorticity, which satisfies the global equilibrium condition, is also a solution to the spin-hydrodynamic equations. Additionally, we calculate the magnetization of the system in global equilibrium and introduce a novel phenomenon - thermovortical magnetization - resulting from thermal vorticity, which can be experimentally observed in graphene.
{"title":"Spin-hydrodynamics of electrons in graphene and thermovortical magnetization","authors":"Amaresh Jaiswal","doi":"arxiv-2409.07764","DOIUrl":"https://doi.org/arxiv-2409.07764","url":null,"abstract":"We examine the framework of relativistic spin-hydrodynamics in the context of\u0000electron hydrodynamics in graphene. We develop a spin-hydrodynamic model for a\u0000(2 + 1)-dimensional system of fermions under the condition of small spin\u0000polarization. Our analysis confirms that thermal vorticity, which satisfies the\u0000global equilibrium condition, is also a solution to the spin-hydrodynamic\u0000equations. Additionally, we calculate the magnetization of the system in global\u0000equilibrium and introduce a novel phenomenon - thermovortical magnetization -\u0000resulting from thermal vorticity, which can be experimentally observed in\u0000graphene.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206801","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 letter, we report the latest developments in the beyond mean-field methods applied to the shell-model framework for the the description of heavy deformed nuclei. We extend our recent DNO-SM approach within the Variation-After-Projection (VAP) scheme, dubbed as DNO-SM(VAP). This approach naturally enables to a priori capture correlations more efficiently than the Projection-After-Variation (PAV) scheme which is commonly used in current theoretical modelings of nuclei. Using the Kuo-Herling effective interaction, we first examine the extended method by a systematic comparison of the binding energies, the yrast spectra and electromagnetic moments of some representative nuclei of masses ranging from $A=251$ to $A=256$. The results show that the VAP scheme variationally provides more bound solutions with respect to the PAV scheme, reflecting the additional correlations that were captured. Both spectra, dipole and spectroscopic quadrupole moments are reproduced favorably. We then focus on the case of $^{254}$No, one of the most studied elements experimentally, which can be considered as the portal to the superheavy region. The calculations show a striking agreement with the complete experimentally known spectroscopy: the yrast band, the isomers and K bands, providing new insights into its shell structure. The present successful description opens a new way for forthcoming spectroscopic studies of heavy and superheavy nuclei.
{"title":"First complete shell-model description of $^{254}$No: a new paradigm for superheavy nuclear structure studies","authors":"D. D. Dao, F. Nowacki","doi":"arxiv-2409.08210","DOIUrl":"https://doi.org/arxiv-2409.08210","url":null,"abstract":"In this letter, we report the latest developments in the beyond mean-field\u0000methods applied to the shell-model framework for the the description of heavy\u0000deformed nuclei. We extend our recent DNO-SM approach within the\u0000Variation-After-Projection (VAP) scheme, dubbed as DNO-SM(VAP). This approach\u0000naturally enables to a priori capture correlations more efficiently than the\u0000Projection-After-Variation (PAV) scheme which is commonly used in current\u0000theoretical modelings of nuclei. Using the Kuo-Herling effective interaction,\u0000we first examine the extended method by a systematic comparison of the binding\u0000energies, the yrast spectra and electromagnetic moments of some representative\u0000nuclei of masses ranging from $A=251$ to $A=256$. The results show that the VAP\u0000scheme variationally provides more bound solutions with respect to the PAV\u0000scheme, reflecting the additional correlations that were captured. Both\u0000spectra, dipole and spectroscopic quadrupole moments are reproduced favorably.\u0000We then focus on the case of $^{254}$No, one of the most studied elements\u0000experimentally, which can be considered as the portal to the superheavy region.\u0000The calculations show a striking agreement with the complete experimentally\u0000known spectroscopy: the yrast band, the isomers and K bands, providing new\u0000insights into its shell structure. The present successful description opens a\u0000new way for forthcoming spectroscopic studies of heavy and superheavy nuclei.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226245","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}
We investigate the volume and lifetime of the high baryon-density matter created in heavy-ion collisions and estimate the optimal collision energy to realize the high baryon-density region over a large spacetime volume. We simulate central collisions of gold ions for the center-of-mass energy per nucleon pair $sqrt{s_{NN}}=2.4 - 19.6;{rm GeV}$ with a microscopic transport model JAM. We discover that the optimal collision energy is around $sqrt{s_{NN}}=3 - 4;{rm GeV}$, where a baryon density exceeding three times the normal nuclear density is realized with a substantially large spacetime volume. Higher and lower energies are disfavored due to short lifetime and low density, respectively. We also point out that event-by-event fluctuations of the spacetime density profile are large, indicating the importance of the event selection in the experimental analysis.
{"title":"Optimal collision energy for realizing macroscopic high baryon-density matter","authors":"Hidetoshi Taya, Asanosuke Jinno, Masakiyo Kitazawa, Yasushi Nara","doi":"arxiv-2409.07685","DOIUrl":"https://doi.org/arxiv-2409.07685","url":null,"abstract":"We investigate the volume and lifetime of the high baryon-density matter\u0000created in heavy-ion collisions and estimate the optimal collision energy to\u0000realize the high baryon-density region over a large spacetime volume. We\u0000simulate central collisions of gold ions for the center-of-mass energy per\u0000nucleon pair $sqrt{s_{NN}}=2.4 - 19.6;{rm GeV}$ with a microscopic transport\u0000model JAM. We discover that the optimal collision energy is around\u0000$sqrt{s_{NN}}=3 - 4;{rm GeV}$, where a baryon density exceeding three times\u0000the normal nuclear density is realized with a substantially large spacetime\u0000volume. Higher and lower energies are disfavored due to short lifetime and low\u0000density, respectively. We also point out that event-by-event fluctuations of\u0000the spacetime density profile are large, indicating the importance of the event\u0000selection in the experimental analysis.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206802","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}
We use Bayesian statistics to infer the breakdown scale of pionless effective field theory in its standard power counting and with renormalization of observables carried out using the power-divergence subtraction scheme and cutoff regularization. We condition our inference on predictions of the total neutron-proton scattering cross section up next-to-next-to leading order. We quantify a median breakdown scale of approximately 1.4$m_pi$. The 68% degree of belief interval is $[0.96,1.69]m_pi$. This result confirms the canonical expectation that the pion mass is a relevant scale in low-energy nuclear physics.
{"title":"Quantifying the breakdown scale of pionless effective field theory","authors":"Andreas Ekström, Lucas Platter","doi":"arxiv-2409.08197","DOIUrl":"https://doi.org/arxiv-2409.08197","url":null,"abstract":"We use Bayesian statistics to infer the breakdown scale of pionless effective\u0000field theory in its standard power counting and with renormalization of\u0000observables carried out using the power-divergence subtraction scheme and\u0000cutoff regularization. We condition our inference on predictions of the total\u0000neutron-proton scattering cross section up next-to-next-to leading order. We\u0000quantify a median breakdown scale of approximately 1.4$m_pi$. The 68% degree\u0000of belief interval is $[0.96,1.69]m_pi$. This result confirms the canonical\u0000expectation that the pion mass is a relevant scale in low-energy nuclear\u0000physics.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206796","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 work we systematically study both the mass spectra and strong decays of the nucleon and $Delta$ resonances up to the $N=2$ shell within a unified quark model framework with chiral dynamics. In this framework we achieve a good description of the strong decay properties of the well-established nucleon and $Delta$ resonances. Meanwhile, the mass reversal between $N(1440)1/2^{+}$ as the first radial excitation state and the $1P$-wave nucleon resonances can be explained. We show that the three-body spin-orbit potential arising from the one-gluon exchange can cause a large configuration mixing between $N(1520)3/2^-$ and $N(1700)3/2^-$, and is also responsible for the large splitting between $Delta(1600)1/2^-$ and $Delta(1700)1/2^-$. Some of these baryon resonances turn to weakly couple to the $Npi$, $Neta$, $KLambda$, and $KSigma$ channels, which may answer the question why they have not been established in these channels via the $pi N$ and $gamma N$ scatterings. It shows that these ``missing resonances" may have large potentials to be established in the $Npipi$ final state due to their large decay rates into either the $Delta(1232)$ or $1P$-wave nucleon resonances via the pionic decays. Further experimental search for their signals in charmonium decays at BESIII is thus strongly recommended.
{"title":"Unified study of nucleon and $Δ$ baryon spectra and their strong decays with chiral dynamics","authors":"Hui-Hua Zhong, Ming-Sheng Liu, Ru-Hui Ni, Mu-Yang Chen, Xian-Hui Zhong, Qiang Zhao","doi":"arxiv-2409.07998","DOIUrl":"https://doi.org/arxiv-2409.07998","url":null,"abstract":"In this work we systematically study both the mass spectra and strong decays\u0000of the nucleon and $Delta$ resonances up to the $N=2$ shell within a unified\u0000quark model framework with chiral dynamics. In this framework we achieve a good\u0000description of the strong decay properties of the well-established nucleon and\u0000$Delta$ resonances. Meanwhile, the mass reversal between $N(1440)1/2^{+}$ as\u0000the first radial excitation state and the $1P$-wave nucleon resonances can be\u0000explained. We show that the three-body spin-orbit potential arising from the\u0000one-gluon exchange can cause a large configuration mixing between\u0000$N(1520)3/2^-$ and $N(1700)3/2^-$, and is also responsible for the large\u0000splitting between $Delta(1600)1/2^-$ and $Delta(1700)1/2^-$. Some of these\u0000baryon resonances turn to weakly couple to the $Npi$, $Neta$, $KLambda$, and\u0000$KSigma$ channels, which may answer the question why they have not been\u0000established in these channels via the $pi N$ and $gamma N$ scatterings. It\u0000shows that these ``missing resonances\" may have large potentials to be\u0000established in the $Npipi$ final state due to their large decay rates into\u0000either the $Delta(1232)$ or $1P$-wave nucleon resonances via the pionic\u0000decays. Further experimental search for their signals in charmonium decays at\u0000BESIII is thus strongly recommended.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206799","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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