Charmonium states in QCD-inspired quark potential model using Gaussian expansion method

Abstract

We investigate the mass spectrum and electromagnetic processes of charmonium system with the nonperturbative treatment for the spin-dependent potentials, comparing the pure scalar and scalar-vector mixing linear confining potentials. It is revealed that the scalar-vector mixing confinement would be important for reproducing the mass spectrum and decay widths, and therein the vector component is predicted to be around 22%. With the state wave functions obtained via the full-potential Hamiltonian, the long-standing discrepancy in M1 radiative transitions of $J/\psi$ and ${\psi }^{\prime }$ are alleviated spontaneously. This work also intends to provide an inspection and suggestion for the possible $c\bar{c}$ among the copious higher charmonium-like states. Particularly, the newly observed X(4160) and X(4350) are found in the charmonium family mass spectrum as $M(2^1{D}_2)=4164.9$ MeV and $M(3^3{P}_2)=4352.4$ MeV, which strongly favor the $J^{PC}=2^{-+},2^{++}$ assignments respectively. The corresponding radiative transitions, leptonic and two-photon decay widths have been also predicted theoretically for the further experimental search.

16 pages,3 figures

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• Charmonium states in a coupled-channel model
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• Understanding close-lying exotic charmonia states within QCD sum rules
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• Confinement of Fermions in Tachyon Matter at Finite Temperature
• Radiative transitions of charmonium states in the covariant confined quark model