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The heavy baryon \Lambda_{Q} (Q=b or c) can be regarded as composed of aheavy quark and a scalar light diquark which has good spin and isospin quantumnumbers. In this picture we establish the Bethe-Salpeter (BS) equation for\Lambda_{Q} to second order in the 1/m_{Q} expansion. With the kernelcontaining both the scalar confinement and the one-gluon-exchange terms wesolve the BS equation numerically. The value of the spin-dependant form factorfor 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 numericallyfrom our model.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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