Decay constants and mixing parameters in a relativistic model for q\barQ system

Details Decay constants and mixing parameters in a relativistic model for q\barQ system Decay constants and mixing parameters in a relativistic model for q\barQ system

1996-01-16

arxiv.org/abs/hep-ph/9601271v1

Phys.Rev. D55 (1997) 419-422

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, Latex, 3 figures (included)

Scientific paper

10.1103/PhysRevD.55.419

We extend our recent work, in which the Dirac equation with a ``(asymptotically free) Coulomb + (Lorentz scalar $\gamma_0\sigma r$) linear '' potential is used to obtain the light quark wavefunction for $q\bar Q$ mesons in the limit $m_Q\to \infty$, to estimate the decay constant $f_P$ and the mixing parameter $B$ of the pseudoscalar mesons. We compare our results for the evolution of $f_P$ and $B$ with the meson mass $M_P$ to the non-relativistic formulas for these quantities and show that there is a significant correction in the subasymptotic region. For $\sigma =0.14{{\rm ~GeV}}^{-2}$ and $\lms =0.240{\rm ~GeV}$ we obtain: $f_D =0.371\; ,\; f_{D_s}=0.442\; ,\; f_B=0.301\; ,\; f_{B_s}=0.368 {\rm ~GeV}$ and $B_D=0.88\; ,\; B_{D_s}=0.89\; ,\; B_B=0.95\; ,\; B_{B_s}=0.96\; ,\;$ and $B_K=0.60$.

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