A Gaussian wave function is used for detailed study of mass spectra of the B and BS 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 a O p 10 for relativistic correction of the Hamiltonian. The predicted excited states for the B and Bs mesons are in very good agreement with results obtained by experiment. We assigned the B2(5747) and Bs2(5840) as 1 3 p2 state, the B1(5721) and Bs1(5830) as 1p1 state, the B0(5732) as 1 3 p0 state, the Bs1(5850) as 1p 1 state and the B(5970) as 2 3 S1 state. We investigate the Regge trajectories in the (J, M 2 ) and (nr, M 2 ) planes with their corresponding parameters. Branching ratio for leptonic and radiative-leptonic decays are estimated for the B and BS mesons. Our results are in good agreement with experimental observation as well as outcomes of other theoretical models.Chinese Physics C Vol. xx, No. x (201x) xxxxxx cay widths.Results of mass spectra, leptonic and radiative-leptonic decays are discussed in Section 3. In Section 3.1, we investigate Regge trajectories in the (J, M 2 ) and (n r , M 2 ) planes. Finally, we present the conclusion in Section 4.

The mass spectra of charmonium are investigated using a Coulomb plus linear (Cornell) potential. Gaussian wave function in position space as well as in momentum space are employed to calculate the expectation value of potential and kinetic energy respectively. Various experimental states (X(4660)(5 3 S1), X(3872)(2 3 P1), X(3900)(2 1 P1), X(3915)(2 3 P0) and X(4274)(3 3 P1) etc.) are assigned as charmonium states. We also study the Regge trajectories, pseudoscalar and vector decay constants, the Electric and Magnetic dipole transition rates and the annihilation decay width for charmonium states.

The framework of a phenomenological quark-antiquark potential (Coulomb plus linear confinement) model with a Gaussian wave function is used for detailed study of masses of the ground, orbitally and radially excited states of heavy-light Qq, (Q = c, q = u/d, s) mesons. We incorporate a O(1/m) correction to the potential energy term and relativistic corrections to the kinetic energy term of the Hamiltonian. The spin-hyperfine, spin-orbit and tensor interactions incorporating the effect of mixing are employed to obtain the pseudoscalar, vector, radially and orbitally excited state meson masses. The Regge trajectories in the (J, M 2 ) and (nr, M 2 ) planes for heavy-light mesons are investigated with their corresponding parameters. Leptonic and radiative leptonic decay widths and corresponding branching ratios are computed. The mixing parameters are also estimated. Our predictions are in good agreement with experimental results as well as lattice and other theoretical models.