1999/11/30 by X. H. Guo, X. -H. Guo, A. W. Thomas +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.61.116015
published as Phys.Rev.D61:116015,2000 · Latex, 24 pages, two figures
arxiv created 1999/11/30 · openalex publication_date 2000/05/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Corrections of order 1/mQ (Q=b or c) to the Bethe-Salpeter (BS) equation for \ensuremathΛQ are analyzed on the assumption that the heavy baryon \ensuremathΛQ is composed of a heavy quark and a scalar, light diquark. It is found that in addition to the one BS scalar function in the limit mQ\ensuremath→\ensuremath∞, two more scalar functions are needed at the order 1/mQ. These can be related to the BS scalar function in the leading order in our model. The six form factors for the weak transition \ensuremathΛb\ensuremath→\ensuremathΛc are expressed in terms of these wave functions and the results are consistent with HQET to order 1/mQ. Assuming the kernel for the BS equation in the limit mQ\ensuremath→\ensuremath∞ to consist of a scalar confinement term and a one-gluon-exchange term we obtain numerical solutions for the BS wave functions, and hence for the \ensuremathΛb\ensuremath→\ensuremathΛc form factors to order 1/mQ. Predictions are given for the differential and total decay widths for \ensuremathΛb\ensuremath→\ensuremathΛcl\ensuremathν, and also for the nonleptonic decay widths for \ensuremathΛb\ensuremath→\ensuremathΛc plus a pseudoscalar or vector meson, with QCD corrections being also included.