Calculation of 1/m^{2}_{b} corrections to <\Lambda_{b}(v,s)|\bar{b}\gamma^{\lambda}\gamma_{5}b|\Lambda_{b}(v,s)> for polarized \Lambda_{b} in the Bethe-Salpeter equation approach
High Energy Physics - Phenomenology
2015-06-15 v1
Abstract
The heavy baryon \Lambda_{Q} (Q=b or c) can be regarded as composed of a heavy quark and a scalar light diquark which has good spin and isospin quantum numbers. In this picture we establish the Bethe-Salpeter (BS) equation for \Lambda_{Q} to second order in the 1/m_{Q} expansion. With the kernel containing both the scalar confinement and the one-gluon-exchange terms we solve the BS equation numerically. The value of the spin-dependant form factor for the matrix element <\Lambda_{b}{(v,s)}|\bar{b}\gamma^{\lambda}\gamma_{5}b|\Lambda_{b}(v,s)>, \epsilon_{b}, which is non-zero at order 1/m^{2}_{b}, is obtained numerically from our model.
Keywords
Cite
@article{arxiv.1305.1078,
title = {Calculation of 1/m^{2}_{b} corrections to <\Lambda_{b}(v,s)|\bar{b}\gamma^{\lambda}\gamma_{5}b|\Lambda_{b}(v,s)> for polarized \Lambda_{b} in the Bethe-Salpeter equation approach},
author = {L. Zhang and X. -H. Guo},
journal= {arXiv preprint arXiv:1305.1078},
year = {2015}
}