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X(3872) in an unquenched quark model

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arXiv 2019年

作者： Tan, Yue Ping, Jialun Department of Physics Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

In this paper, we calculate mass and probability fractions of meson-meson components of X(3872) in an unquenched quark model. Different from most of other unquenched quark models, the quark pairs creation operator from 3P0 is modified by considering effects of the created quark pair energy and separation between the created quark pair and the valence quark-pair. In the calculation, all the wavefunctions of mesons and the relative motion between two mesons are obtained by solving the corresponding Schrödinger equation with the help of gaussian expansion method. The multichannel coupling of quark-antiquark state with possible meson-meson states are performed. The results show that the X(3872) can be described as a mixing state of dominant charmonium state (70%) and meson-meson components (30%). Copyright © 2019, The Authors. All rights reserved.

关键词： Hadrons

Investigation of qqqsq¯ pentaquarks in a chiral quark model

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arXiv 2020年

作者： Qin, Liting Tan, Yue Hu, Xiaohuang Ping, Jialun Department of Physics Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

We investigate the pentaquark system qqqsq¯in a framework of chiral quark model. Two structures, (qqq)(sq¯) and (qqs)(qq¯), with all possible color, spin, flavor configurations are considered. The calculations show that there are several possible resonance states, Sigmaπ and NK¯ state with IJP = 012−, Σ∗π with IJP = 032−, Σ∗ρ with IJP = 025 −, ∆K¯ with IJP = 132− and ∆K¯ ∗ with IJP = 152−. Where the NK¯ state with IJP = 012− can be used to explain the Λ(1405), and together with another state Σπ is related to the two-pole structure of the scattering amplitude proposed before. The decay properties of Λ(1520) prevent the assignment of Σ∗π with IJP = 023 − to Λ(1520), although the energy ∼ 1518 MeV of Σ∗π is close to experimental value of Λ(1520). Other resonance states generally have a large width. Copyright © 2020, The Authors. All rights reserved.

关键词： Hadrons

Ds0(2317) and Ds1(2460) in an unquenched quark model

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arXiv 2021年

作者： Tan, Yue Ping, Jialun Department of Physics Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

Recently, BESIII Collaboration updated the data of exotic state, D∗s0(2317), with mass at 2318.3 ± 1.2 ± 1.2 MeV in the positronium annihilation process. Inspired by experiment, We study the two hot exotic states, Ds∗0(2317) and Ds1(2460), in the more reasonable unquenched quark model with two modified factor: the one is distance convergence, while the other is energy suppression. Different from the other works, we first give all of possible the mass shift and component of Ds∗0(2317) and Ds1(2460) at the same time. All the calculation are done with the help of Gaussian expansion method, which is very accurate few body system calculation method. In addition, not only DK(D∗K) but also the other OZI allowed mesonium including Dsη are all taken into consideration. We propose an unquenched quark model to give a unitive description for Ds spectrum including four particles: Ds, Ds∗, Ds∗0(2317) and Ds1(2460), and the results show that Ds∗0(2317) and Ds1(2460) are a cs¯ sate plus an extra important component due to continuum while Ds and Ds∗ are almost pure quark-antiquark state. Copyright © 2021, The Authors. All rights reserved.

关键词： Hadrons

Investigation of hidden-charm Pentaquarks with strangeness S = −1

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arXiv 2021年

作者： Hu, Xiaohuang Ping, Jialun Department of Physics Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

Recently, a new hidden-charm pentaquark state Pcs(4459) was reported by the LHCb Collaboration. Stimulated by the fact that all hidden-charm pentaquark states in S = 0 systems were successfully studied by the chiral quark model, we extended this study to the S = −1 systems. All possible states with quantum numbers IJP = 0(12)−, 0(23)−, 0(25)−, 1(21)−, 1(23)− and 1(25)− have been investigated. The calculation results shows that the newly observed state Pcs(4459) can be explained as ΞcD¯∗ molecular state and the quantum numbers are 0(21)−. In addition, we also find other molecular states ΞcD¯, Ξc∗D¯ and Ξc′D¯ ∗. It is worth mentioning that ΞcD¯ ∗ can form a two-peak structure from states in system 0(21)− and 0(23)−. The decay width of all molecular states is given with the help of real scaling method. These hidden-charm pentaquark states is expected to be further verified in future experiments. Copyright © 2021, The Authors. All rights reserved.

关键词： Quantum theory

Investigation of Ξc0 in a chiral quark model

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arXiv 2020年

作者： Hu, Xiaohuang Tan, Yue Ping, Jialun Department of Physics Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

Recently, three new states of Ξc0 were observed in the invariant mass spectrum of Λ+c K− by LHCb collaboration. In this work, we use a chiral quark model to investigate these three exited states with the help of Gaussian expansion method both in three-quark structure and in five-quark structure with all possible quantum numbers (formula presented). The calculations shows that the 2S states of Ξc′(2579)0 and Ξc(2645)0 are comparable to experimental results;In addition, the resonance states of five-quark configuration are possible candidates of these new states with negative parity by using the real scaling method and their decay width are also given. Copyright © 2020, The Authors. All rights reserved.

关键词： Elementary particles

Analysis of Ω(2012) as a molecule in the chiral quark model

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arXiv 2022年

作者： Hu, Xiaohuang Ping, Jialun Department of Physics Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

Inspired by the updated information on Ω(2012) by the Belle Collaboration, we conduct a study of all possible S-wave pentaquark systems with quark contents sssqq¯, q = u, d in a chiral quark model with the help of Gaussian expansion method. Channel coupling is also considered. The real-scaling method (stabilization method) is employed to identify and check the bound states and the genuine resonances. In addition, the decay widths of all resonances are given. The results show that Ω(2012) can be interpreted as a Ξ∗K molecular state with quantum number of IJP= 0(3/2)-. Other resonances are obtained: Ξ∗K∗with IJP= 0(1/2)-and0(3/2)-, Ωπ with IJP= 1(3/2)-. These pentaquark states is expected to be further verified in future experiments. Copyright © 2022, The Authors. All rights reserved.

关键词： Resonance

Y (4626) in a chiral constituent quark model

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arXiv 2019年

作者： Tan, Yue Ping, Jialun Department of Physics Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

Recently, Belle Collaboration reported a new exotic state Y (4620) with mass at 4625.9 MeV in the positronium annihilation process. Inspired by experiment, we study the tetraquark system css ¯ c¯ with quantum numbers JP = 1− in the framework of chiral constituent quark model with the help of Gaussian expansion method. Two structures, diquark-antidiquark and meson-meson, with all possible color and spin configurations are considered. The result shows that no bound state can be formed. To investigate the possible resonance states, the real scaling method is employed. Several resonance states with energies 4354, 4408, 4469, 4497 and 4531 MeV, are proposed. Taking into account the errors in calculating the qq¯ mesons, the system errors in the calculation of four-quark system are around 60∼ 100 MeV. The resonance with energy 4531 MeV is possible the candidate of the newly found state Y (4620). Copyright © 2019, The Authors. All rights reserved.

关键词： Hadrons

STABILITY OF SVIR system WITH RANDOM PERTURBATIONS

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International Journal of Biomathematics 2012年第4期5卷 97-111页

作者： CHAO DENG HONGJUN GAO Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems School of Mathematical Sciences Nanjing Normal University Nanjing 210046 P. R. China

In this paper, the SVIR epidemic models with continuous vaccination strategies investi- gated by Liu, Takeuchi and Iwamo, [SVIR epidemic models with vaccination strategies, J. Theor. Biol. 253 （2008） 1 11], allowing random fluctuation around the endemic equi- librium and the transmission rate t3 are analyzed. The equilibrium state of the model with random perturbation is locally asymptotically stable as shown by a Lyapunov stability analysis.

关键词： Local asymptotic stability SVIR model Lyapunov function white noise.

QQqq in a chiral constituent quark model

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arXiv 2020年

作者： Tan, Yue Lu, Weichang Ping, Jialun Dept. of Physics and Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

Inspired by Ξccreported by LHCb Collaboration and X(5568) reported by D0 Collaboration, the QQqq (Q = c, b, q = u, d) tetraquark states, are studied in the present work. With the help of Gaussian expansion method, two structures, diquark-antiquark and meson-meson, with all possible color configurations are investigated systematically in a chiral quark model to search for the possible stable states. The results show that there is no bound state in the isovector QQqq system, while there are rather deep bound states in the isoscalar bbqq, ccqq and bcqq systems. Mixing two structures of diquark-antidiquark and meson-meson can introduce more attractions and convert some unbound isoscalar states into shallow bound states. The large mass of the heavy quark is beneficial to the formation of the bound state. The separations between quarks are calculated to unravel the spacial structure of the system. Copyright © 2020, The Authors. All rights reserved.

关键词： Hadrons