Decay Constants of $B$, $B^*$ and $D$, $D^*$ Mesons in Relativistic Mock Meson Model

Abstract

We derive formulas for the decay constants $f_P$ and $f_V$ of pseudoscalar and vector mesons in the relativistic mock meson model. Using these formulas, we obtain $f_P$ and $f_V$ of $B_s$, $B_d$, $D_s$, and $D_d$ mesons as functions of the mock meson parameter $\beta$. Then by using the values of $\beta$ which are obtained by the variational method in the relativistic quark model, we obtain the decay constants $f_P$ and $f_V$ of the heavy mesons, and the corresponding ratios $f_V/f_P$. The results are compared with other calculations and existing experimental results.