Fermi motion parameter $p_{{}_F}$ of $B$ meson from relativistic quark model

Abstract

The Fermi motion parameter $p_{{}_F}$ is the most important parameter of ACCMM model, and the value $p_{{}_F}\sim 0.3$ GeV has been used without clear theoretical or experimental evidence. So, we attempted to calculate the value for $p_{{}_F}$ theoretically in the relativistic quark model using quantum mechanical variational method. We obtained $p_{{}_F}\sim 0.5$ GeV, which is somewhat larger than 0.3 GeV, and we also derived the eigenvalue of $E_B\simeq 5.5$ GeV, which is in reasonable agreement with $m_B=5.28$ GeV. We also recalculated $|V_{ub}/V_{cb}|$ as a function of $p_{{}_F}$.

arXiv comment1 figure (not included) available ([email protected]). Talk given by D.S. Hwang, at the Int. Workshop on B-physics, Nagoya, Japan, on Oct. 26-28, 1994. Proceedings published by World Scientific, Singapore, edited by A. Sanda and S. Suzuki