arXiv subjects

Jialun Ping

Publications and source records attributed to Jialun Ping.

At least 37 records · Page 2Linked to original sources

arXiv2025

Strong decays of singly heavy baryons

More and more excited baryons have been reported experimentally, but many properties are still unclear. This work attempts to simultaneously study the masses and strong decay widths of some singly heavy baryons, in order to provide possible quantum numbers for these states. The chiral quark model and the $^{3}P_{0}$ decay model are employed to calculate the masses and decay widths of $Λ_{c(b)}$ and $Σ_{c(b)}$ baryons for all quantum numbers with $2S$, $1P$, and $2P$ waves. We considered not only two-body strong decays but also the influence of three-body decays. Our calculations show that: (i) For states with experimentally determined quantum numbers, such as $Λ_c(2595)$, $Λ_c(2625)$, $Λ_b(5912)$ and $Λ_b(5920)$, the results are consistent with experimental data and the conclusions of most theoretical studies. (ii) For states whose quantum numbers have not yet been fully determined experimentally, we provide possible interpretations. For example, our calculations tend to interpret $Λ_c(2910)$ is interpreted as a $J^P=\frac{3}{2}^-$ state with 1P-wave $ρ$-mode or a $J^P=\frac{1}{2}^-$ state with 2P wave $λ$-mode. $Λ_c(2940)$ can be interpreted as the $J^P=\frac{3}{2}^-$ state with 2P-wave $λ$-mode. For $Λ_c(2860)$, we offer a different interpretation, proposing that its mass and width closely match those of a 2P-wave $J^P=\frac{1}{2}^{-}$ state. It is hoped that our calculations can provide valuable information for the experimental and theoretical studies of heavy baryons.

hep-ph↗

arXiv2025

Systematic study of $D_{s0}^{*}$(2317) in quark models

Recently, the BES\uppercase\expandafter{\romannumeral3} Collaboration updated the data for the exotic state, $D^{*}_{s0}(2317)$, with a mass of $2318.3\pm1.2\pm1.2$ MeV from the positronium annihilation process. Inspired by the experiment, we systematically investigated the $c\bar{q}$ meson family spectrum from the perspectives of two-quark, four-quark, and mixed two-four-quark structures, including $D_s$, $D_s^{*}$, $D_{s0}^{*}(2317)$, and $D_{s1}(2460)$, with the help of the Gaussian expansion method, which is a very accurate calculation method for few-body systems. We found that with appropriate spin-orbit coupling parameter $a_s$, the chiral quark model can effectively describe both $D_{s0}^{*}(2317)$ and $D_{s1}(2460)$. The four-quark calculation shows that the $DK$ state does not form a bound state, but the effective potential calculation shows an attractive interaction between them. Finally, we performed mixed two-four-quark calculations, and the results, with the help of the unquenched effect, show that the energies of $D_{s0}^{*}(2317)$ and $D_{s1}(2460)$ are in better agreement with experimental values. Therefore, we conclude that these two particles are good candidates for mixed two-four-quark states.

hep-ph↗

arXiv2025

Investigating the nature of $N(1535)$ and $Λ(1405)$ in a quenched chiral quark model

In this work, we systematically study $N(1440)$, $N(1535)$, and $Λ(1405)$ in both the quenched three-quark and five-quark frameworks using the Gaussian Expansion Method (GEM) within the chiral quark model. Our calculations show that $N(1535)$ can be reproduced as a three-quark state ($N(1P)$), while $N(1440)$ and $Λ(1405)$ cannot be accommodated as the three-quark candidates, ($N(2S)$ and $Λ(1P)$), respectively. In the five-quark framework, we find that the $ΛK$ state for $N(1535)$ can not form a bound state, while in the $N\bar{K}$ channel there will $Λ(1405)$ form a shallow bound state. Based on the complex-scaling method, we performed complete coupled-channels calculations and obtained six resonance states with energies ranging from 1.8 GeV to 2.2 GeV, in addition with one bound state located around $Σπ$ channel. However, neither molecular candidates in $ΛK$ channel for $N(1535)$ nor $N\bar{K}$ for $Λ(1405)$ are included in these states. This is because the strong coupling between $N\bar{K}$ and $Σπ$ will make the $N\bar{K}$ unbound, while the weak coupling between $ΛK$ and $ΣK$ can not help form a stable structure around $ΛK$ threshold. Thus, under the quenched quark model, our results support $N(1535)$ as a three-quark state, while $N(1440)$ is neither a three-quark nor a five-quark state. In addition, we find that although $Λ(1405)$ can be primarily a five-quark state, it requires a mixture of three-quark and five-quark components for stability. In the future, an exploration on the mixing effects between bare baryons with these relevant two-body hadronic channel components will be carried out to further test our conclusions.

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arXiv2025

Study of the $c\bar{c}s\bar{s}$ system in the chiral quark model

Recently, a charmonium $X(3960)$ in $B$ decays in the $D_s^+D_s^-$ invariant-mass spectrum is discovered by the LHCb Collaboration with the quantum number $J^{PC}=0^{++}$. Motivated by the discovery, in this work, we systematically investigated the $c\bar{c}s\bar{s}$ tetraquark states with the quantum numbers $J^{PC}=0^{++}, 1^{++}, 1^{+-}, 2^{++}$ in the framework of the chiral quark model(CQM). In our calculations, we considered the meson-meson structure of the tetraquark states and the diquark-antidiquark structure, as well as the channel-coupling of all channels of these two configurations are considered in this work. For example, all color structures including color singlet, hidden color channel, and the mixing of them are also taken into account. The numerical results indicates that no bound states were found in our model. But there exist several resonant states by using the stabilization method, the real scaling method (RSM) so called. Among these states, the $0^{++}$ resonant state with mass 3927 MeV matches very well with the energy of the newly discovered exotic state $X(3960)$ reported by the LHCb collaboration. As a result, our calculations suggest that $X(3960)$ can be interpreted as a $c\bar{c}s\bar{s}$ tetraquark state with quantum number $J^{PC}=0^{++}$. Apart form that, we also find several resonance states with mass 4179 MeV, 4376 MeV with $0^{++}$. For $1^{++}$, there is likely one resonance state in the energy range of 4310$\sim$4336 MeV, along with two resonance states at the energy of 4395 MeV and 4687 MeV, respectively. Besides, two resonance states at 4300 MeV and 4355 MeV for $1^{+-}$, as well as one state at 4788 MeV for $2^{++}$, are found, which are likely to be new exotic states. More experimental data is needed to confirm the existence of these resonance states.

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arXiv2025

Investigating the $p$-$Ω$ Interaction and Correlation Functions

Motivated by experimental measurements, we investigate the $p$-$Ω$ correlation functions and interactions on the basis of a quark model. By solving the inverse scattering problem with channel coupling, we renormalize the coupling to other channels into an effective single-channel $p$-$Ω$ potentials. The effects of Coulomb interaction and spin-averaging are also discussed. According to our results, the depletion of the $p$-$Ω$ correlation functions, which is attributed to the $J^P = 2^+$ bound state not observed in the ALICE Collaboration's measurements [Nature \textbf{588}, 232 (2020)], can be explained by the contribution of the attractive $J^P = 1^+$ component in spin-averaging. So far, we have provided a consistent description of the $p$-$Ω$ system from the perspective of the quark model, including the energy spectrum, scattering phase shifts, and correlation functions. The existence of the $p$-$Ω$ bound state has been supported by all three aspects. Additionally, a sign of the $p$-$Ω$ correlation function's subtle sub-unity part can be seen in experimental measurements, which warrants more precise verification in the future.

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arXiv2024

Search for singly charmed dibaryons in baryon-baryon scattering

We perform a systematical investigation of the singly charmed dibaryon system with strangeness numbers $S=-1$, $-3$ and $-5$ in the framework of the chiral quark model. Two resonance states with strangeness numbers $S=-1$ are obtained in the baryon-baryon scattering process. In the $ΛΛ_{c}$ scattering phase shifts, the $ΣΣ_{c}$ appears as a resonance state with the mass and width 3591 MeV and 11.1 MeV, respectively. In the $NΞ_{c}$ and $NΞ^{\prime}_{c}$ scattering phase shifts, the $ΣΣ^{\ast}_{c}$ exhibits as a resonance state with the mass and width 3621-3624 MeV and 14.9 MeV, respectively. All these heavy-flavor dibaryons are worth searching for in experiments. Besides, we would like to emphasize that the coupling calculation between the bound channels and open channels is indispensable. The study of the scattering process maybe an effective way to look for the genuine resonances.

hep-ph↗

arXiv2024

Triply charm and bottom tetraquarks in a constituent quark model

Singly, doubly and fully charmed tetraquark candidates, \emph{e.g.}, $T_{c\bar{s}}(2900)$, $T^+_{cc}(3875)$ and $X(6900)$ have been recently reported by the LHCb collaboration. Therefore, it is timely to implement a theoretical investigation on triply heavy tetraquark systems; herein, the S-wave triply charm and bottom tetraquarks, $\bar{Q}Q\bar{q}Q$ $(q=u,\,d,\,s;\,Q=c,\,b)$, with spin-parity $J^P=0^+$, $1^+$ and $2^+$, isospin $I=0$ and $\frac{1}{2}$, are systematically studied in a constituent quark model. Besides, all tetraquark configurations, \emph{i.e.} meson-meson, diquark-antidiquark and K-type arrangements, along with any allowed color structure, are comprehensively considered. The Gaussian expansion method (GEM), in combination with the complex-scaling method (CSM), which is quite ingenious in dealing with either bound or resonances, is the approach adopted in solving the complex scaled Schrödinger equation. This theoretical framework has already been applied in various tetra- and penta-quark systems. In a fully coupled-channel calculation within the GEM$+$CSM, narrow resonances are found in each $I(J^P)$ channel of the charm and bottom sector. In particular, triply charm and bottom tetraquark resonances are obtained in $5.6-5.9$ GeV and $15.3-15.7$ GeV, respectively. We provide also some insights of the compositeness of these exotic states, such as the inner quark distance, magnetic moment and dominant wave function component. All this may help to distinguish them in future high energy nuclear and particle experiments.

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arXiv2024

Probing the nature of the anticharmed-strange pentaquark states: mass spectra, decays, and magnetic moments

Within the framework of the quark delocalization color screening model, a systematic investigation of the anticharmed-strange pentaquark system is performed using the resonance group method. The currently estimations predict three bound states with estimated masses to be 2886 MeV, 3039 MeV, and 3153 MeV, respectively. Additionally, three resonance states are identified in various scattering phase shifts processes. Among them, two resonance states $ΣD$ and $Σ^{\ast}D^{\ast}$ with quantum number $\frac{1}{2}(\frac{1}{2}^{-})$ are detected in channels $ND_{s}^{\ast}$ and $ND$, and $ΣD^{\ast}$ and $ΛD$, with masses and decay widths of ($M_{R}=3053\sim3055$ MeV, $T_{total}=13.0\sim13.4$ MeV) and ($M_{R}=3389\sim3390$ MeV, $T_{total}=10.4$ MeV), respectively. In the $ΛD^{\ast}$ and $ΣD^{\ast}$ channels, a resonance state with quantum number $\frac{1}{2}(\frac{3}{2}^{-})$ is discovered, with its mass and decay width being $3250\sim3252$ MeV and 4.4 MeV, respectively. These predicted pentaquark states have $\bar{c}snnn$ quark compositions, allowing them to be recognized as genuine pentaquark states. To validate these predictions, it is expected that upcoming experiments will further explore the predicted resonance and bound states in these possible decay channels.

hep-ph↗

arXiv2024

Investigating $Ξ$ resonances from pentaquark perspective

We have investigated the $qss\bar{q}q$ ($q = u$ or $d$) system to find possible pentaquark explanations for the $Ξ$ resonances. The bound state calculation is carried out within the framework of the quark delocalization color screening model. The scattering processes are also studied to examine the possible resonance states. The current results indicate that the $Ξ(1950)$ can be interpreted as $Λ\bar{K}^*$ state with $J^P = 1/2^-$. Three states are identified that match the $Ξ(2250)$, which are $Σ^* \bar{K}^*$ state with $J^P = 3/2^-$, $Σ^* \bar{K}^*$ state with $J^P =5/2^-$, and $Ξ^* ρ$ state with $J^P =5/2^-$. This may explain the conflicting experimental values for the width of the $Ξ(2250)$. A new $Ξ$ resonance is predicted, whose mass and width are 2066--2079 MeV and 186--189 MeV, respectively. These results contribute to understanding the nature of the $Ξ$ resonances and to the future search for new $Ξ$ resonances. Moreover, it is meaningful to further investigate the $Ξ$ resonances from an unquenched picture on the basis of pentaquark investigation.

hep-ph↗

arXiv2024

Dynamical study of $D^{}DK$ and $D^{}D \bar{D}$ systems at quark level

Inspired by that Belle\uppercase\expandafter{\romannumeral2} Collaboration recently reported $T_{cc}$, which can be interpreted as a molecular $DD^{*}$, we investigated the trihadron system of $T_{cc}$ partner with $IJ^{P}$=$01^{-}$ in the framework of a chiral quark model. It's widely accepted that the main component of $X(3872)$ contains the molecular $\bar{D}D^{*}$, while the main component of $D_{s0}^{*}(2317)$ is molecular $DK$. Based on these three well-known exotic states, $T_{cc} (DD^{*})$, $X(3872) (\bar{D}D^{*})$ and $D_{s0}^{*}(2317) (DK)$, we dynamically investigate $D^{*}DK$ and $DD^{*}\bar{D}$ systems at quark level to search for possible bound states. The results show that both of them are bound states, in which the binding energy of the molecular state $DD^*K$ is relatively small, only 0.8 MeV, while the binding energy of $DD^*\bar{D}$ is up to 1.9 MeV. According to the calculation results of the Root-square-mean distances, the spatial structure of the two systems shows obvious ($DD^*$)-($\bar{D}$/$K$) structure, in which $D$ is close to $D^*$ while $DD^*$ as a whole is relatively distant from the third hadron ($\bar{D}$/$K$), which are similar to the nucleon-electron structure. As a result, we strongly recommend that these bound states $DD^*\bar{D}$ and $DD^*K$ are searched for experimentally.

hep-ph↗

arXiv2024

Further study of $c\bar{c}c\bar{c}$ system within a chiral quark model

Inspired by the recent Altas and CMS experiments on the invariant mass spectrum of $J/ψJ/ψ$, we systematically study the $c\bar{c}c\bar{c}$ system of $J^{P}=0^{+}$. In the framework of chiral quark model, we have carried out bound-state calculation and resonance-state calculation respectively by using Real-scaling method. The results of bound-state calculation show that there are no bound states in the $c\bar{c}c\bar{c}$ with $0^{+}$ system. The resonance-state calculation shows that there are four possible stable resonances: $R(6920)$, $R(7000)$, $R(7080)$ and $R(7160)$. $R(6920)$ and $R(7160)$ are experimental candidates for $X(6900)$ and $X(7200)$, whose main decay channel is $J/ψJ/ψ$. It is important to note that the another major decay channel of $R(7160)$ is $χ_{c0} χ_{c0} $, and the $χ_{c0} χ_{c0} $ is also the main decay channel of $R(7000)$, $R(7080)$. Therefore, we propose to search experimentally for these two predicted resonances in the $χ_{c0} χ_{c0}$ invariant mass spectrum.

hep-ph↗

arXiv2024

Equivalence among color singlet, color octet and diquark structure in a chiral quark model

Since the quark model was put forward, theoretical researchers have always attached great importance to the study of hidden color channels (including color octets and diquark structure). Because of the influence of color Van der waals forces, the hidden color channel itself has strong attraction, which provides a dynamic mechanism for the formation of resonance state or bound state. In this paper, taking the $T_{cc}$ system as an example, under the framework of multi-Gaussian expansion method, a set of relatively complete color singlets (that is, the ground state of the color singlet plus its corresponding higher-order component) is used to replace the contribution of the color octet. Similarly, we endeavor to replace the diquark structure with a relatively complete set of molecular states, encompassing both the ground state and excited states. Our results demonstrate that the color octet structure can be effectively replaced by a set of relatively complete color singlet bases, while the diquark structure cannot be entirely substituted by an equivalently comprehensive set of molecular state bases.

hep-ph↗

arXiv2024

Holographic Schwinger Effect in Anisotropic Media

According to gauge/gravity correspondence, we study the holographic Schwinger effect within an anisotropic background. Firstly, the separate length of the particle-antiparticle pairs is computed within the context of an anisotropic background which is parameterized by dynamical exponent $ν$. It is found that the maximum separate length $x$ increases with the increase of dynamical exponent $ν$. By analyzing the potential energy, we find that the potential barrier increases with the dynamical exponent $ν$ at a small separate distance. This observation implies that the Schwinger effect within an anisotropic background is comparatively weaker when contrasted with its manifestation in an isotropic background.Finally, we also find that the Schwinger effect in the transverse direction is weakened compared to the parallel direction in the anisotropic background, which is consistent with the top-down model.

hep-th↗

arXiv2023

Prediction of $P_{cc}$ states in quark model

Inspired by the observation of hidden-charm pentaquark $P_c$ and $P_{cs}$ states by the LHCb Collaboration, we explore the $qqc\bar{c}c$ ($q~=~u$ or $d$) pentaquark systems in the quark delocalization color screening model. The interaction between baryons and mesons and the influence of channel coupling are studied in this work. Three compact $qqc\bar{c}c$ pentaquark states are obtained, whose masses are 5259 MeV with $I(J^P)$ = $0(1/2^-)$, 5396 MeV with $I(J^P)$ = $1(1/2^-)$, and 5465 MeV with $I(J^P)$ = $1(3/2^-)$. Two molecular states are obtained, which are $I(J^P)$ = $0(1/2^-)$ $Λ_c J/ψ$ with 5367 MeV and $I(J^P)$ = $0(5/2^-)$ $Ξ_{cc}^* \bar{D}^*$ with 5690 MeV. These predicted states may provide important information for future experimental search.

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arXiv2023

Investigation of the analog of the $P_{c}$ states-the doubly charmed molecular pentaquarks

Motivated by the LHCb Collaboration's observation of a doubly charmed tetraquark state $T_{cc}(3875)$, we systematically investigate the existence of doubly charmed pentaquark states using the resonating group method based on the QDCSM framework. The effective potential of the two involved hadrons and the bound state dynamics are included in the present work. Moreover, we have also calculated the scattering phase shifts of open channels by channel coupling to look for possible resonance states. Our estimations indicate that there is a bound state in $I(J^{P})=\frac{3}{2}(\frac{5}{2}^{-})$, with a mass of $4461.7$ MeV. Additionally, five resonance states can be obtained by coupling the open channel, which are $Ξ_{cc}ρ$ and $Σ_{c}D^{\ast}$ with $I(J^{P})=\frac{1}{2}(\frac{1}{2}^{-})$, $Λ_{c}D^{\ast}$ and $Σ_{c}D^{\ast}$ with $I(J^{P})=\frac{1}{2}(\frac{3}{2}^{-})$ and $Σ_{c}D^{\ast}$ with $I(J^{P})=\frac{3}{2}(\frac{1}{2}^{-})$respectively. The existence of these predicted doubly charmed pentaquark states needs to be supported by experimental measurements and discoveries. We hope that some experiments can find evidence of these states.

hep-ph↗

arXiv2023

Exotic $Qq\bar{q}\bar{q}$ states in the chiral quark model

In the framework of the chiral quark model, we investigate the $Qq\bar{q}\bar{q}$ ($Q= c, b$ and $q= u, d$) tetraquark system with two structures: $Q\bar{q}$-$q\bar{q}$ and $Qq$-$\bar{q}\bar{q}$. The bound-state calculation shows that for the single channel, there is no evidence for any bound state below the minimum threshold in both $cq\bar{q}\bar{q}$ and $bq\bar{q}\bar{q}$ systems. However, after coupling all channels of two structures, we obtain a bound state below the minimum threshold in the $cq\bar{q}\bar{q}$ system with the energy of $1998$ MeV, and the quantum number is $IJ^{P}=\frac{1}{2}0^{+}$. Meanwhile, in the $bq\bar{q}\bar{q}$ system, two bound states with energies of $5414$ MeV and $5456$ MeV are obtained, and the quantum numbers are $IJ^{P}=\frac{1}{2}0^{+}$ and $IJ^{P}=\frac{1}{2}1^{+}$, respectively. Besides, we also employe the real-scaling method to search for resonance states in the $cq\bar{q}\bar{q}$ and $bq\bar{q}\bar{q}$ systems. Unfortunately, no genuine resonance states were obtained in both systems. We suggest future experiments to search for these three possible bound states.

hep-ph↗

arXiv2023

The $\mathbf{\bar{q}q\bar{s}Q}$ $\mathbf{(q=u,\,d;\,Q=c,\,b)}$ tetraquark system in a chiral quark model

Inspired by the experimentally reported $T_{c\bar{s}}(2900)$ exotic states, the $S$-wave $\bar{q}q\bar{s}Q$ $(q=u,\,d;\,Q=c,\,b)$ tetraquarks, with spin-parity $J^P=0^+$, $1^+$ and $2^+$, in both isoscalar and isovector sectors are systematically studied in a chiral quark model. The meson-meson, diquark-antidiquark and K-type arrangements of quarks, along with all possible color wave functions, are comprehensively considered. The four-body system is solved by means of a highly efficient computational approach, the Gaussian expansion method, along with a complex-scaling formulation of the problem to disentangle bound, resonance and scattering states. This theoretical framework has already been successfully applied in various tetra- and penta-quark systems. In the complete coupled-channel case, and within the complex-range formulation, several narrow resonances of $\bar{q}q\bar{s}c$ and $\bar{q}q\bar{s}b$ systems are obtained in each allowed $I(J^P)$-channels. Particularly, the $T_{c\bar{s}}(2900)$ is well identified as a $I(J^P)=1(0^+)$ $\bar{q}q\bar{s}c$ tetraquark state with a dominant molecular structure. Meanwhile, more resonances in $\bar{q}q\bar{s}c$ and $\bar{q}q\bar{s}b$ systems are also obtained within the energy regions $2.4-3.4$ GeV and $5.7-6.7$ GeV, respectively. The predicted exotic states, which are an indication of a richer color structure when going towards multiquark systems beyond mesons and baryons, are expected to be confirmed in future high-energy particle and nuclear experiments.

hep-ph↗

arXiv2023

Hidden-charm pentaquarks with strangeness in a chiral quark model

The LHCb collaboration has recently announced the discovery of two hidden-charm pentaquark states with also strange quark content, $P_{cs}(4338)$ and $P_{cs}(4459)$; its analysis points towards having both hadrons isospin equal to zero and spin-parity quantum numbers $\frac12^-$ and $\frac32^-$, respectively. We perform herein a systematical investigation of the $qqsc\bar{c}$ $(q=u,\,d)$ system by means of a chiral quark model, along with a highly accurate computational method, the Gaussian expansion approach combined with the complex-scaling technique. Baryon-meson configurations in both singlet- and hidden-color channels are considered. The $P_{cs}(4338)$ and $P_{cs}(4459)$ signals can be well identified as molecular bound states with dominant components $ΛJ/ψ$ $(60\%)$ and $Ξ_c D$ $(23\%)$ for the lowest-energy case and $Ξ_c D^*$ $(72\%)$ for the highest-energy one. Besides, it seems that some narrow resonances can be also found in each allowed $I(J^P)$-channel in the energy region of $4.6-5.5$ GeV, except for the $1(\frac12^-)$ where a shallow bound state with dominant $Ξ^*_c D^*$ structure is obtained at $4673$ MeV with binding energy $E_B=-3$ MeV. These exotic states are expected to be confirmed in future high energy experiments.

hep-ph↗