Masses and electromagnetic transitions of the Bc mesons

Abstract

The mass spectra and decay properties of the $ B_{c}(c\bar{b})$ meson are investigated in the framework of the phenomenological quark anti-quark potential (Coulomb plus power) model consisting of relativistic corrections to the kinetic-energy term as well as relativistic corrections to the quark antiquark potential at $ O(1/m)$ using the Gaussian wave function. The spin-spin, spin-orbit and tensor interactions are employed to obtain the pseudoscalar and vector meson masses incorporating the effect of mixing. The decay constants $ (f_{P/V})$ with and without QCD correction are computed using the wave function at the origin. The electromagnetic transition rates are also calculated in this scheme. Our predictions for the Bc meson are in good agreement with experimental results as well as other theoretical models.