Theoretical Status of the $B_{c}$ Meson in the Shifted l-Expansion Technique

Details Theoretical Status of the $B_{c}$ Meson in the Shifted l-Expansion Technique Theoretical Status of the $B_{c}$ Meson in the Shifted l-Expansion Technique

2005-04-20

arxiv.org/abs/hep-ph/0504176v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 1 figure

Scientific paper

In the framework of phenomenological static and QCD-motivated model potentials for heavy quarkonium, we compute the $\bar{b}c$ mass spectrum as well as its $\QTR{rm}{1S}$ hyperfine splitting using the recently introduced shifted $l$- expansion technique. We also predict the leptonic constant \ $f_{B_{c}}$ of the lightest pseudoscalar $B_{c}$ and $f_{B_{c}^{\ast}}$ of the vector $B_{c}^{\ast}$ states taking into account the one-loop and two-loop QCD corrections. Further, we use the scaling relation to predict the leptonic constant of the R{rm}{nS}$-states of the $\bar{b}c$ system. For the sake of comparison, we use the same fitting parameters of our previous model potentials. From our results we conclude that shifted $l$-expansion method has the same accuracy, convergence and status as our previous work.

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