Searcharxiv⌕ Search

arXiv subjects

Jia-Lun Ping

Publications and source records attributed to Jia-Lun Ping.

16 recordsLinked to original sources
arXiv2025

$\Xi_c(3055)$ as a scaling point to establish the excited $\Xi_c^{(\prime)}$ family

The low-lying orbital excitations of $\Xi_c^{(\prime)}$ baryons are studied within the chiral quark model combined with the $^3P_0$ decay mechanism. Motivated by the LHCb observation that $\Xi_c(3055)$ is a $\lambda$-mode $1D$ state with $J^P=3/2^+$, we take it as a reference to constrain model parameters and perform a systematic analysis of states below 3.1 GeV. Our results provide a consistent interpretation of the observed $\Xi_c$ spectrum: $\Xi_c(2790)$ and $\Xi_c(2815)$ are well described as a $\lambda$-mode $1P$ doublet, the structures around 2.9 GeV can be interpreted as $P$-wave excitations with mixed $\lambda/\rho$ modes, and $\Xi_c(2970)$ is consistent with a $2S$ assignment. Furthermore, $\Xi_c(3055)$ together with $\Xi_c(3080)$ forms a $\lambda$-mode $D$-wave doublet, while $\Xi_c(3123)$ favors a $1D$ assignment. These results provide a coherent picture of the low-lying $\Xi_c$ spectrum and call for further experimental tests.

hep-ph↗
arXiv2023

Investigating full-heavy tetraquarks composed of $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$

The full-heavy tetraquarks $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ are systematically investigated within the chiral quark model. The meson-meson structure, diquark-antidiquark structure and K-structure are considered in this work. There is no bound state for $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ systems in $ IJ^{P}=00^{+},01^{+}$ and $ 02^{+}$ channels. However, for $cc\bar{c}\bar{b}$ system, three possible resonance states with energy of $ 10079~{\rm MeV} $, $ 10081~{\rm MeV} $ and $ 10177~{\rm MeV} $ are found in $ IJ^{P}=00^{+},01^{+}$ and $ 02^{+}$, respectively, and their decay width $ Γ$ are $6.7-8.4~{\rm MeV} $, $1.4-7.2~{\rm MeV} $ and $9.1-11.1~{\rm MeV} $. For $bb\bar{b}\bar{c}$ system, there also exist three possible resonance states with energy of $ 16474~{\rm MeV} $, $ 16474~{\rm MeV} $ and $ 16541~{\rm MeV} $ in $ IJ^{P}=00^{+},01^{+}$ and $ 02^{+}$, respectively, and the decay widths $ Γ$ of them are $2.2-6.1~{\rm MeV} $, $2.2-6.9~{\rm MeV} $ and $5.3-8.5~{\rm MeV} $. $bc\bar{c}\bar{c}$ and $cb\bar{b}\bar{b}$ systems will have the same results as $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$, respectively. These full-heavy resonance states are worthy to be searched in the future experiments.

hep-ph↗
arXiv2022

$ρ$ meson generalized parton distributions in the Nambu--Jona-Lasinio model

In this paper, both the unpolarized and the polarized $ρ$ meson generalized parton distributions are investigated in the framework of the Nambu--Jona-Lasinio model using proper time regularization scheme. The symmetry properties of $ρ$ meson generalized parton distributions are checked. The three independent distribution functions in deep inelastic scattering, $F_1(x)$, $b_1(x)$ and $g_1(x)$, and the Sachs-like charge, magnetic, and quadruple form factors $G_C(t)$, $G_M(t)$ and $G_Q(t)$, which are the first Mellin moments of unpolarized generalized parton distributions are obtained. In addition, the $u$ quark axial vector form factors $\tilde{F}_1^u(t)$ and $\tilde{F}_2^u(t)$ related to the axial currents from the polarized generalized parton distributions are studied. The impact parameter dependent parton distribution functions, which are the two-dimensional Fourier transform of generalized parton distributions are studied, too. The obtained $ρ$ meson generalized parton distributions satisfy the required properties well.

hep-ph↗
arXiv2021

Regularization dependence of pion generalised parton distributions

Pion generalised parton distributions are calculated within the framework of the Nambu--Jona-Lasinio model using different regularization schemes, including the proper time regularization scheme, the three dimensional momentum cutoff scheme, the four dimensional momentum cutoff scheme, and the Pauli-Villars regularization scheme. Furthermore, we check the theoretical constraints of pion generalised parton distributions required by the symmetries of quantum chromodynamics in different regularization schemes. The diagrams of pion parton distribution functions are plotted, in addition, we evaluate the Mellin moments of generalised parton distributions, which related to the electromagnetic and gravitational form factors of pion. Pion generalised parton distributions are continuous but not differential at $x=\pm \,ξ$, when considering the effect of D-term, generalised parton distributions become not continuous at $x=\pm \,ξ$ in all the four regularization schemes. Generalised parton distributions in impact parameter space are considered, the width distribution of $u$ quark in the pion and the mean-squared $\langle \mathbf{b}_{\bot}^2\rangle_π^u$ are calculated. The light-front transverse-spin distributions are studied, when quark polarized in the light-front-transverse $+\,x$ direction, the transverse-spin density is no longer symmetric around $(b_x=0,b_y=0)$, the peaks shift to $(b_x=0,b_y>0)$, we compare the average transverse shift $\langle b_{\bot}^y\rangle_1^u$ and $\langle b_{\bot}^y\rangle_2^u$ in different regularization schemes. The light-cone energy radius $r_{E,LC}$ and the light-cone charge radius $r_{c,LC}$ are also evaluated, we find that in the proper time regularization scheme the values of these quantities are the largest, in the three dimensional momentum cutoff scheme they are the smallest.

hep-ph↗
arXiv2021

Study of $qqq\bar{q}Q$ pentaquark system in the Chiral Quark Model

With the discovery of some hidden-charm pentaquark resonances by the LHCb Collaboration, investigations of pentaquark states containing heavy quarks have aroused the interest of theorists. We study herein $qqq\bar{q}Q$ ($q = u$ or $d$, $Q=c$ or $b$) pentaquark system, in the framework of the chiral quark model. In consequence, some charmed and bottomed pentaquarks are considered to exist by five-body dynamical calculations. In the charm sector, $Σ_cπ(IJ^P=0\frac{1}{2}^-)$ and $Σ_c^*π(IJ^P=0\frac{3}{2}^-)$ are possible candidates of $Λ_c(2595)$ and $Λ_c(2625)$, respectively. Besides, two high-spin states, $Σ_c^*ρ(IJ^P=0\frac{5}{2}^-)$ and $ΔD^*(IJ^P=1\frac{5}{2}^-)$, are also found in the energy region of $3.2 \sim 3.3$ GeV. In the bottom sector, $Σ_bπ(IJ^P=0\frac{1}{2}^-)$, $Σ_b^*π(IJ^P=0\frac{3}{2}^-)$ could be candidates of $Λ_b(5912)$ and $Λ_b(5920)$, respectively. And $Σ_b^*ρ(IJ^P=0\frac{5}{2}^-)$ and $ΔB^*(IJ^P=1\frac{5}{2}^-)$ are found in the energy region of $6.5 \sim 6.6$ GeV. $Σ_c^{(*)}π$ and $Σ_b^{(*)}π$ are expected as compact states, while $Σ_c^*ρ$, $Σ_b^*ρ$, $ΔD^*$ and $ΔB^*$ are expected as molecular states.

hep-ph↗
arXiv2020

QCD phase diagram at finite isospin and baryon chemical potentials with the self-consistent mean field approximation

The self-consistent mean field approximation of two-flavor NJL model with introducing a free parameter $α$ to reflect the competition between "direct" channel and the "exchange" channel, is employed to study QCD phase structure at finite isospin chemical potential $μ_I$, finite baryon chemical potential $μ_B$ and finite temperature $T$, especially the location of the QCD critical point. It is found that, for fixed isospin chemical potentials the lower temperature of phase transition is obtained with $α$ increasing in the $T-μ_I$ plane, and the largest difference of the phase transition temperature with different $α$'s appears at $μ_I \sim 1.5m_π$. At $μ_I=0$ the temperature of the QCD critical end point (CEP) decreases with $α$ increasing, while the critical baryon chemical potential increases. At high isospin chemical potential ($μ_I=500$ MeV), the temperature of the QCD tricritical point (TCP) increases with $α$ increasing, and in the regions of low temperature the system will transit from pion superfluidity phase to the normal phase as $μ_B$ increases. At low temperatures, the critical temperature of QCD phase transition with different $α$'s rapidly increases with $μ_I$ at the beginning, and then increases smoothly around $μ_I>300$ MeV. In high baryon density region, the increase of the isospin chemical potential will raise the critical baryon chemical potential of phase transition.

nucl-th↗
arXiv2020

Contact interaction analysis of pion GTMDs

A contact interaction is used to calculate an array of pion twist-two, -three and -four generalised transverse light-front momentum dependent parton distribution functions (GTMDs). Despite the interaction's simplicity, many of the results are physically relevant, amongst them a statement that GTMD size and shape are largely prescribed by the scale of emergent hadronic mass. Moreover, proceeding from GTMDs to generalised parton distributions (GPDs), it is found that the pion's mass distribution form factor is harder than its electromagnetic form factor, which is harder than the gravitational pressure distribution form factor; the pressure in the neighbourhood of the pion's core is commensurate with that at the centre of a neutron star; the shear pressure is maximal when confinement forces become dominant within the pion; and the spatial distribution of transversely polarised quarks within the pion is asymmetric. Regarding transverse momentum dependent distribution functions (TMDs), their magnitude and domain of support decrease with increasing twist. The simplest Wigner distribution associated with the pion's twist-two dressed-quark GTMD is sharply peaked on the kinematic domain associated with valence-quark dominance; has a domain of negative support; and broadens as the transverse position variable increases in magnitude.

hep-ph↗
arXiv2020

Pentaquarks with the $qqs\bar{Q}Q$ configuration in the Chiral Quark Model

We study the five-quark system composed of $qqs\bar{Q}Q$ configuration ($q = u$ or $d$, $Q=b$ or $c$), in the framework of the chiral quark model. In consequence, a series of bound states with heavy flavors are predicted by precise five-body dynamical calculations. We found that taking color-octet structure into consideration always provides more bounding energy than color-singlet structure, and the more heavier quark prevents, the easier to form the bound states. We suggest $qqs\bar{b}b$ configuration is a compact $\bar{b}b$-pair surrounded by three other quarks, while $qqs\bar{b}c$, $qqs\bar{c}b$ and $qqs\bar{c}c$ configurations are molecular states.

hep-ph↗
arXiv2020

The contributions of the vector-channel at finite isospin chemical potential with the self-consistent mean field approximation

The self-consistent mean field approximation of two-flavor NJL model, which introduces a free parameter $α$ ($α$ reflects the weight of different interaction channels), is employed to investigate the contributions of the vector-channel at finite isospin chemical potential $μ_I$ and zero baryon chemical potential $μ_B$ and zero temperature $T$. The calculations show that the consideration of the vector-channel contributions leads to lower value of pion condensate in superfluid phase, compared with the standard Lagrangian of NJL model ($α=0$). In superfluid phase, we also obtain lower isospin number density, and the discrepancy is getting larger with the increase of isospin potential. Compared with the recent results from Lattice QCD, the isospin density and energy density we obtained with $α=0.5$ agree with the data of lattice well. In the phase diagram in the $T-μ_I$ plane for $μ_B=0$, we can see that the difference of the critical temperatures of phase transition between the results with $α=0$ and $α=0.5$ is up to $3\%-5\%$ for a fixed isospin potential. All of these indicate that the vector channels play an important role in isospin medium.

hep-ph↗
arXiv2002

Which Constituent Quark Model Is Better?

A comparative study has been done by calculating the effective baryon-baryon interactions of the 64 lowest channels consisting of octet and decuplet baryons with three constituent quark models: the extended quark gluon exchange model, the Goldstone boson exchange model and the quark gluon meson exchange hybrid model. We find that these three models give similar results for 44 channels. Further tests of these models are discussed.

nucl-th↗
arXiv1999

QED-QCD Interference Effect on the Charge Dependent N-N Interaction

The charge symmetry breaking and charge independence breaking N-N ^1S_0 scattering length differences, Delta a_{CSB} and Delta a_{CIB}, are calculated by a resonating group method with a quark cluster model. By adding the QED-QCD interference effect to the quark mass difference and the electromagnetic interaction, the Delta a_{CSB} and Delta a_{CIB} values can be reproduced with model parameters constrained by the hadron isomultiplet mass splitting.

nucl-th↗
arXiv1998

Quark Delocalization, Color Screening Model and Nucleon-Baryon Scattering

We apply the quark delocalization and color screening model to nucleon-baryon scattering. A semi-quantitative fit to N-N, N-Lambda and N-Sigma phase shifts and scattering cross sections is obtained without invoking meson exchange. Quarks delocalize reasonably in all of the different flavor channels to induce effective nucleon-baryon interactions with both a repulsive core and with an intermediate range attraction in the cases expected.

nucl-th↗
arXiv1998

Effective Baryon-Baryon Potentials in the Quark Delocalization and Color Screening Model

The quark delocalization and color screening model is used for a systematic study of the effective potential between baryons in the u,d and s sector. The model is constrained by the properties of baryons and N-N scattering. The effective potentials for the N-N (IJ=01,10,11,00) channels and the N-Lambda and N-Sigma (IJ = (1/2)1, (1/2)0, (3/2)1, (3/2)0) channels fit the N-N, N-Lambda and N-Sigma scattering data reasonably well. This model predicts: There are rather strong effective attractions between decuplet-baryons; the effective attractions between octet-baryons are weak or even repulsive; and the attractions between decuplet- and octet-baryons lie in between.

nucl-th↗
arXiv1998

Systematic Theoretical Search for Dibaryons in a Relativistic Model

A relativistic quark potential model is used to do a systematic search for quasi-stable dibaryon states in the $u$, $d$, and $s$ three flavor world. Flavor symmetry breaking and channel coupling effects are included and an adiabatic method and fractional parentage expansion technique are used in the calculations. The relativistic model predicts dibaryon candidates completely consistent with the nonrelativistic model.

nucl-th↗