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arXiv · hep-ph/0610193

Masses and decay constants of B_q mesons in the QCD string approach

A. M. Badalian·Yu. A. Simonov·B. L. G. Bakker
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Abstract

The relativistic string Hamiltonian is used to calculate the masses and decay constants of $B_q$ mesons: they appear to be expressed through onlythree fundamental values: the string tension $σ$, $α_s$, and the quark pole masses. The values $f_B =186 $ MeV, $f_{B_s}= 222$ MeV are calculated while $f_{B_c}$ depends on the $c$-quark pole mass used, namely $f_{B_c}=440 (424)$ MeV for $m_c =1.40 (1.35)$ GeV. For the $1P$ states we predict the spin-averaged masses: $\bar M(B_J)=5730$ MeV and $\bar M(B_{sJ})=5830$ MeV which are in good agreement with the recent data of the D0 and CDF Collaborations, at the same time owning to the string correction being by $\sim 50$ MeV smaller than in other calculations.

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A. M. Badalian, Yu. A. Simonov, B. L. G. Bakker. 2006-10-16. Masses and decay constants of B_q mesons in the QCD string approach. https://doi.org/10.1142/9789812790873_0234

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