Heavy Flavor Mesons In Quark Potential Model

This thesis focuses on the mass spectra and decay properties of heavy quarkonium within the framework of quark potential model. For this purpose, we consider further the Lorentz structure of the QCD confinement and the nonperturbative treatment on spin-dependent interactions. Based on more accuray calculating results, we identify the possible charmoniums and bottomoniums among the copious higher quarkonium-like states and provide some suggestions for the further experiments.The QCD inspired potential models have been playing an important role in investigating heavy quarkonium, due to the presence of large nonperturbative effects in this energy region. Most quark potential models have common ingredients under the non-relativistic limit, despite some differences in the detailed corrections regarding relativistic and coupled channel effects. Anyway, the nature of confining mechanism has been veiled so far. In the original Cornell model, it was assumed as Lorentz scalar, which gives a vanishing long-range magnetic contribution and agrees with the flux tube picture of quark confinement. Another possibility is that confinement may be a more complicated mixture of scalar and time-like vector. In pure quark-antiquark meson models, the Lorentz nature of confinement is tested by the multiplet splitting of orbitally excited quarkonium states. Besides, calculating treatment seems cannot be belittled either. As several numerical methods fail in the potentials with 1/r2 and even higher negative times, the order of v2/c2 corrections to the spin-inpendent potential have to be treated as mass shifts using leading-order perturbation theory. However, the accuracy of perturbation expansion has been concerned and alerted reasonably and it is indicated that the most significant effect of the different treatments is on the wave functions. It is known that the radiative transitions, leptonic and two-photon decay widths are quite sensitive to the shape of wave function and its information at the origin. This work is intriguing to study the still-puzzling confinement with the full-potential calculation framework, considering the treatment accuracy as well as the determination of model-related parameters.The mass spectrum and electromagnetic behaviors of charmonium and bottomonium systems are investigated with the nonperturbative calculating 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 about 22% for the charmonium and 19% for the bottomonium. Particularly, the newly observed (?)(4160) and (?)(4350) are found in the charmonium family mass spectrum as 21D2 and 33P2, which strongly favor the JPC=2-+, 2++assignments respectively. The systematical calculations disfavor the□□□structures of the (3872) and (3915), and bolster the (3940) and (3930) as the candidates for 31S0 and 23P2. With the state wave functions obtained via the full-potential Hamiltonian, the long-standing discrepancy in M1 radiative transitions of J/ψandψ’are alleviated. Besides, the mixing angles between S-D wave charmonium states have been explored in higher resonances. Within the current framework, the 3P bottomonium spin-triplets are found to be consistent with the ATLAS Collaboration very recent observations of the c.o.g. mass. Our theoretical predictions reasonably accord with the recent experiments on these new members:ηb(1S),ηb(2S), hb(1P), hb(2P) and Y(13D2). The present mass of the bottomonium 53S1 is very close to Y(10860). The regarding visibles have been theoretically predictided for the further confirmation.