Mass Spectrum and decay properties of the $B_{c}$ meson

Abstract

The properties of B c mesons are of special interest in quarkonium spectroscopy as they are the only quarkonia consisting of heavy quarks with different flavours and can not annihilate into gluons and so they are more stable. The possibility to study the B c meson ignited considerable interest in its spectroscopy and other properties in light of recent experimental measurements and theoretical estimates. Using the Gaussian wave function mass spectra and decay properties of B c ( c b ) meson are investigated in the framework of phenomenological quark anti-quark potential (coulomb plus power) model consisting of relativistic corrections to the kinetic energy. 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 ) are computed using the wave function at the origin. The lifetime and electromagnetic transition rates are also calculated in this scheme. Our predictions for the B c meson are in good agreement with experimental results as well as other theoretical models.