Spectroscopy, decay properties and Regge trajectories of the B and Bs mesons

A Gaussian wave function is used for detailed study of the mass spectra of the B and B-s mesons using a Cornell potential incorporated with a O(1/m) correction in the potential energy term and expansion of the kinetic energy term up to O(p(10)) 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 assign B-2 (5747) and B-s2 (5840) as the 1(3)P(2) state, B-1(5721) and B-s1(5830) as the 1P(1) state, B-0(5732) as the 1(3)P(0) state, B-s1(5850) as the 1P(1)' state and B(5970) as the 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. The branching ratios for leptonic and radiative-leptonic decays are estimated for the B and B-s mesons. Our results are in good agreement with experimental observations as well as outcomes of other theoretical models.