The quark potential model is used to investigate the low-energy elastic scattering of πN system. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the harmonic oscillator c...The quark potential model is used to investigate the low-energy elastic scattering of πN system. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the harmonic oscillator confining potential. By means of the resonating group method, a nonlocal effective potential for the πN system is derived from the interquark potentials and used to calculate the πN elastic scattering phase shifts. By considering the effect of QCD renormalization, the suppression of the spin-orbital coupling and the contribution of the color octet of the clusters （qq） and （qqq）, the numerical results are in fairly good agreement with the experimental data. The same model and method are employed to investigate the possible πN resonances. For this purpose, the resonating group equation is transformed into a standard Schrodinger equation in which the nonlocal effective πN interaction potential is included. Solving the Schrodinger equation by the variational method, we are able to reproduce the masses of some currently concerned πN resonances.展开更多
In the QCD-inspired potential model where the quark-antiquark interaction consists of the usual one- gluon-exchange and the mixture of long-range scalar and vector linear confining potentials with the lowest order rel...In the QCD-inspired potential model where the quark-antiquark interaction consists of the usual one- gluon-exchange and the mixture of long-range scalar and vector linear confining potentials with the lowest order relativistic correction, we investigate the mass spectra and electromagnetic processes of a bottomonium system by using the Gaussian expansion method. It reveals that the vector component of the mixing confinement is anticonfining and takes around 18.51% of the confining potential. Combining the new experimental data released by Belle, BaBar and LHC, we systematically discuss the energy levels of the bottomouium states and make the predictions of the electromagnetic decays for further experiments.展开更多
We study the dissociation of ψ(3770), ψ(4040), ψ(4160), and ψ(4415) mesons in collision with nucleons, which takes place in high-energy proton-nucleus collisions. The quark interchange between a nucleon and a ■ m...We study the dissociation of ψ(3770), ψ(4040), ψ(4160), and ψ(4415) mesons in collision with nucleons, which takes place in high-energy proton-nucleus collisions. The quark interchange between a nucleon and a ■ meson leads to the dissociation of the ■ meson. We consider the reactions:■, and■, where R stands for ψ(3770), ψ(4040), ψ(4160), or ψ(4415). A reaction of a neutron and a ■ meson corresponds to a reaction of a proton and the ■ meson by replacing the up quark with the down quark and vice versa. Transition-amplitude formulas are derived from the S-matrix element.Unpolarized cross sections are calculated with the transition amplitudes for scattering in the prior form and in the post form. The cross sections relate to nodes in the radial wave functions of ψ(3770), ψ(4040), ψ(4160), and ψ(4415) mesons.展开更多
For a system of current interest（composed of charm, anticharm and a pair of light quarks）, we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ a res...For a system of current interest（composed of charm, anticharm and a pair of light quarks）, we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ a resonating group method to render this difficult four-body problem manageable. We use a quadratic confinement so as to be able to improve beyond the Born approximation. We report the position of the pole corresponding to the D^0D^0＊ molecule for the best fit of a model parameter to the relevant QCD simulations. We point out the interesting possibility that the pole can be shifted to 3872 Me V by introducing another parameter I0 that changes the strength of the interaction in this one component of X（3872）. The revised value of this second parameter can guide future trends in modeling of the full exotic meson X（3872）. We also report the changes with I_0 in the S-wave spin averaged cross sections for D^0D^0＊-→ωJ/ψ and D^0D^0＊-→ρJ/ψ. These cross sections are important regarding the study of QGP（quark gluon plasma）.展开更多
We study the scattering of J/ψ - J/ψ mesons using quadratic and Cornell potentials in our tetraquark(cccc)system.The system’s wavefunction in the restricted gluonic basis,which is written by utilizing the adiabatic...We study the scattering of J/ψ - J/ψ mesons using quadratic and Cornell potentials in our tetraquark(cccc)system.The system’s wavefunction in the restricted gluonic basis,which is written by utilizing the adiabatic approximation and Hamiltonian,is used via a quark potential model.The resonating group technique is used to obtain the integral equations,which are solved to obtain the unknown inter-cluster dependence of the total wavefunction of our tetraquark system.T-Matrix elements are calculated from the solutions,and eventually,the scattering cross sections are obtained using the two potentials.We compare these cross sections and find that the magnitudes of scattering cross sections of quadratic potential are higher than the Cornell potential.展开更多
Using the inelastic scattering of charmed strange mesons by open-charm mesons in hadronic matter produced in Pb-Pb collisions at the Large Hadron Collider,we study the production ofψ(4040),ψ(4160),andψ(4415)mesons....Using the inelastic scattering of charmed strange mesons by open-charm mesons in hadronic matter produced in Pb-Pb collisions at the Large Hadron Collider,we study the production ofψ(4040),ψ(4160),andψ(4415)mesons.Master rate equations are established for inelastic scattering.The scattering is caused by quark interchange in association with color interactions between all constituent pairs in different mesons.We consider fifty-one reactions between charmed strange and open-charm mesons.Unpolarized cross sections for the reactions are obtained from a temperature-dependent interquark potential.The temperature dependence of the cross sections causes the contributions of the reactions to the production ofψ(4040),ψ(4160),andψ(4415)to change with decreasing temperature during the evolution of hadronic matter.For central Pb-Pb collisions at√snn=5.02TeV,the master rate equations reveal that the number density ofψ(4040)is larger than that ofψ(4160),whose number density is larger than that ofψ(4415).展开更多
Open-flavor strong decays are studied based on the interaction of a potential quark model. The decay process is related to the s-channel contribution of the same scalar confinement and one-gluon-exchange （OGE） inter...Open-flavor strong decays are studied based on the interaction of a potential quark model. The decay process is related to the s-channel contribution of the same scalar confinement and one-gluon-exchange （OGE） interaction in the quark model. After we adopt the prescription of massive gluons in a time-like region from the lattice calculation, the approximation of four-fermion interaction is applied. The numerical calculation is performed to the meson decays in u, d and s light flavor sectors. The analysis of the DIS ratios of b1 →ωπ and a1 → ρπ shows that the scalar interaction should be dominant in the open-flavor decays.展开更多
In the first Born approximation,we study the reactions Kφ→πK,ρK,πK*,and ρK*with quark-antiquark annihilation and creation.Transition amplitudes are derived with the development in the spherical harmonics of the ...In the first Born approximation,we study the reactions Kφ→πK,ρK,πK*,and ρK*with quark-antiquark annihilation and creation.Transition amplitudes are derived with the development in the spherical harmonics of the relative-motion wave functions of two initial mesons and two final mesons so that parity is conserved and the total angular momentum of the final mesons equals that of the initial mesons.Unpolarized cross sections are calculated from the transition amplitudes that also contain mesonic quark-antiquark relative-motion wave functions and transition potentials for quark-antiquark annihilation and creation.The notable temperature dependence of the cross sections is shown.The cross sections for Kφ→ρK,Kφ→K*,and Kφ→ρK*may be of the millibarn scale,whereas the cross section for Kφ→πK is small.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No.10675054
文摘The quark potential model is used to investigate the low-energy elastic scattering of πN system. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the harmonic oscillator confining potential. By means of the resonating group method, a nonlocal effective potential for the πN system is derived from the interquark potentials and used to calculate the πN elastic scattering phase shifts. By considering the effect of QCD renormalization, the suppression of the spin-orbital coupling and the contribution of the color octet of the clusters （qq） and （qqq）, the numerical results are in fairly good agreement with the experimental data. The same model and method are employed to investigate the possible πN resonances. For this purpose, the resonating group equation is transformed into a standard Schrodinger equation in which the nonlocal effective πN interaction potential is included. Solving the Schrodinger equation by the variational method, we are able to reproduce the masses of some currently concerned πN resonances.
基金Supported by National Natural Science Foundation of China (11175146, 11047023, 11265017)Fundamental Research Funds for Central Universities (XDJK2012D005)
文摘In the QCD-inspired potential model where the quark-antiquark interaction consists of the usual one- gluon-exchange and the mixture of long-range scalar and vector linear confining potentials with the lowest order relativistic correction, we investigate the mass spectra and electromagnetic processes of a bottomonium system by using the Gaussian expansion method. It reveals that the vector component of the mixing confinement is anticonfining and takes around 18.51% of the confining potential. Combining the new experimental data released by Belle, BaBar and LHC, we systematically discuss the energy levels of the bottomouium states and make the predictions of the electromagnetic decays for further experiments.
基金supported by the project STRONG-2020 of the European Center for Theoretical Studies in Nuclear Physics and Related Areas.
文摘We study the dissociation of ψ(3770), ψ(4040), ψ(4160), and ψ(4415) mesons in collision with nucleons, which takes place in high-energy proton-nucleus collisions. The quark interchange between a nucleon and a ■ meson leads to the dissociation of the ■ meson. We consider the reactions:■, and■, where R stands for ψ(3770), ψ(4040), ψ(4160), or ψ(4415). A reaction of a neutron and a ■ meson corresponds to a reaction of a proton and the ■ meson by replacing the up quark with the down quark and vice versa. Transition-amplitude formulas are derived from the S-matrix element.Unpolarized cross sections are calculated with the transition amplitudes for scattering in the prior form and in the post form. The cross sections relate to nodes in the radial wave functions of ψ(3770), ψ(4040), ψ(4160), and ψ(4415) mesons.
基金support of PU research (D/605/Est.I Sr. 20 Project 2014-15, D/34/Est.1 Sr. 109 Project 2013-14)the Higher Education Commission (HEC) of Pakistan for its financial support through (17-5-4(Ps3-128) HEC/Sch/2006)
文摘For a system of current interest（composed of charm, anticharm and a pair of light quarks）, we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ a resonating group method to render this difficult four-body problem manageable. We use a quadratic confinement so as to be able to improve beyond the Born approximation. We report the position of the pole corresponding to the D^0D^0＊ molecule for the best fit of a model parameter to the relevant QCD simulations. We point out the interesting possibility that the pole can be shifted to 3872 Me V by introducing another parameter I0 that changes the strength of the interaction in this one component of X（3872）. The revised value of this second parameter can guide future trends in modeling of the full exotic meson X（3872）. We also report the changes with I_0 in the S-wave spin averaged cross sections for D^0D^0＊-→ωJ/ψ and D^0D^0＊-→ρJ/ψ. These cross sections are important regarding the study of QGP（quark gluon plasma）.
文摘We study the scattering of J/ψ - J/ψ mesons using quadratic and Cornell potentials in our tetraquark(cccc)system.The system’s wavefunction in the restricted gluonic basis,which is written by utilizing the adiabatic approximation and Hamiltonian,is used via a quark potential model.The resonating group technique is used to obtain the integral equations,which are solved to obtain the unknown inter-cluster dependence of the total wavefunction of our tetraquark system.T-Matrix elements are calculated from the solutions,and eventually,the scattering cross sections are obtained using the two potentials.We compare these cross sections and find that the magnitudes of scattering cross sections of quadratic potential are higher than the Cornell potential.
基金Supported by the project STRONG-2020 of the European Center for Theoretical Studies in Nuclear Physics and Related Areas。
文摘Using the inelastic scattering of charmed strange mesons by open-charm mesons in hadronic matter produced in Pb-Pb collisions at the Large Hadron Collider,we study the production ofψ(4040),ψ(4160),andψ(4415)mesons.Master rate equations are established for inelastic scattering.The scattering is caused by quark interchange in association with color interactions between all constituent pairs in different mesons.We consider fifty-one reactions between charmed strange and open-charm mesons.Unpolarized cross sections for the reactions are obtained from a temperature-dependent interquark potential.The temperature dependence of the cross sections causes the contributions of the reactions to the production ofψ(4040),ψ(4160),andψ(4415)to change with decreasing temperature during the evolution of hadronic matter.For central Pb-Pb collisions at√snn=5.02TeV,the master rate equations reveal that the number density ofψ(4040)is larger than that ofψ(4160),whose number density is larger than that ofψ(4415).
文摘Open-flavor strong decays are studied based on the interaction of a potential quark model. The decay process is related to the s-channel contribution of the same scalar confinement and one-gluon-exchange （OGE） interaction in the quark model. After we adopt the prescription of massive gluons in a time-like region from the lattice calculation, the approximation of four-fermion interaction is applied. The numerical calculation is performed to the meson decays in u, d and s light flavor sectors. The analysis of the DIS ratios of b1 →ωπ and a1 → ρπ shows that the scalar interaction should be dominant in the open-flavor decays.
基金Supported by the National Natural Science Foundation of China(11175111)。
文摘In the first Born approximation,we study the reactions Kφ→πK,ρK,πK*,and ρK*with quark-antiquark annihilation and creation.Transition amplitudes are derived with the development in the spherical harmonics of the relative-motion wave functions of two initial mesons and two final mesons so that parity is conserved and the total angular momentum of the final mesons equals that of the initial mesons.Unpolarized cross sections are calculated from the transition amplitudes that also contain mesonic quark-antiquark relative-motion wave functions and transition potentials for quark-antiquark annihilation and creation.The notable temperature dependence of the cross sections is shown.The cross sections for Kφ→ρK,Kφ→K*,and Kφ→ρK*may be of the millibarn scale,whereas the cross section for Kφ→πK is small.
