Xh. Guo et T. Muta, ISGUR-WISE FUNCTION FOR LAMBDA(B)-]LAMBDA(C) IN THE BS APPROACH, Physical review. D. Particles and fields, 54(7), 1996, pp. 4629-4634
In the heavy quark limit, the heavy baryon Lambda(Q) (Q = b or c) can
be regarded as composed of a heavy quark and a scalar light diquark wh
ich has good spin and flavor quantum numbers. Based on this picture we
establish the Bethe-Salpeter (BS) equation for Lambda(Q) in the leadi
ng order of 1/m(Q) expansion. With the kernel containing both the scal
ar confinement and one-gluon-exchange terms we solve the BS equation n
umerically. The Isgur-Wise function for Lambda(b) --> Lambda(c) is obt
ained numerically from our model. A comparison with other model calcul
ations is also presented. It seems that the Isgur-Wise function for La
mbda(b) --> Lambda(c) drops faster than that for B --> D. The differen
tial and total decay widths for <Lambda(b) --> Lambda(c)l(nu)over bar>
are given in the limit m(b,c) --> infinity.