Ratios of $B$ and $D$ Meson Decay Constants in Relativistic Quark Model

Details Ratios of $B$ and $D$ Meson Decay Constants in Relativistic Quark Model Ratios of $B$ and $D$ Meson Decay Constants in Relativistic Quark Model

1995-07-19

arxiv.org/abs/hep-ph/9507340v1

Phys.Rev. D53 (1996) 3659-3663

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 1 Postscript figure

Scientific paper

10.1103/PhysRevD.53.3659

We calculate the ratios of $B$ and $D$ meson decay constants by applying the variational method to the relativistic hamiltonian of the heavy meson. We adopt the Gaussian and hydrogen-type trial wave functions, and use six different potentials of the potential model. We obtain reliable results for the ratios, which are similar for different trial wave functions and different potentials. The obtained ratios show the deviation from the nonrelativistic scaling law, and they are in a pretty good agreement with the results of the Lattice calculations.

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