Spectroscopy, Decay properties and Regge trajectories of the $B$ and $B_s$ mesons

Abstract

A Gaussian wave function is used for detailed study of mass spectra of the $B$ and $B_S$ mesons using a Cornell potential incorporated with a $\mathcal{O}(1/m)$ correction in the potential energy term and expansion of the kinetic energy term up to a $\mathcal{O}\left({\mathbf{p}}^{10}\right)$ for relativistic correction of the Hamiltonian. The predicted excited states for the $B$ and $B_s$ mesons are in very good agreement with results obtained by experiment. We assigned the $B_2(5747)$ and $B_{s2}(5840)$ as $1^3{p}_2$ state, the $B_1(5721)$ and $B_{s1}(5830)$ as $1p_1$ state, the $B_0(5732)$ as $1^3{p}_0$ state, the $B_{s1}(5850)$ as $1p_1^{{}^{\prime }}$ state and the $B(5970)$ as $2^3{S}_1$ state. We investigate the Regge trajectories in the $(J,M^2)$ and $(n_r,M^2)$ planes with their corresponding parameters. Branching ratio for leptonic and radiative-leptonic decays are estimated for the $B$ and $B_S$ mesons. Our results are in good agreement with experimental observation as well as outcomes of other theoretical models.

17 pages, 10 figures and 12 tables, it is to be published in Chinese Physics C. arXiv admin note: text overlap with arXiv:1704.00439

References in corpus (5)

• Nonperturbative determination of the QCD potential at O(1/m)
• Properties of $Q\bar{Q}$ mesons in non-relativistic QCD formalism
• $B$ and $B_s$ Meson Spectroscopy
• Excited bottom and bottom-strange mesons in the quark model
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons