The heavy baryon ΛQ (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 BetheSalpeter (BS) equation for ΛQ to second order in the 1/mQ 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 elementwhich is non-zero at order 1/m 2 b , is obtained numerically from our model. In the past decades there has been much progress in heavy flavor physics due to the discovery of the new flavor and spin symmetries SU (2) f × SU (2) s in the heavy quark limit and the establishment of the heavy quark effective theory (HQET) [1]. The Large Hadron Collider (LHC) will provide much more data for heavy hadrons, and hence it will be able to test the standard model (SM) more accurately. One may expect more precise measurement of Cabibbo-Kobayashi-Maskawa matrix elements such as V ub in the near future.There At leading order in α s (m b ) the polarized differential semileptonic decay rate for Λ b → X u eν e (where X u *
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