Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/11180
Scopus Web of Science® Citations ? ?
 Type: Journal article Title: 1/mQ corrections to the Bethe-Salpeter equation for ΛQ in the diquark picture Other Titles: 1/mQ corrections to the Bethe-Salpeter equation for LambdaQ in the diquark picture Author: Guo, X.Thomas, A.Williams, A. Citation: Physical Review D: Particles, Fields, Gravitation and Cosmology, 2000; 61(11):www1-www11 Publisher: American Physical Soc Issue Date: 2000 ISSN: 1550-79980556-2821 Statement ofResponsibility: Guo, X.-H.; Thomas, A. W. and Williams, A. G. Abstract: Corrections of order 1/m_Q (Q=b or c) to the Bethe-Salpeter (B-S) equation for \Lambda_Q are analyzed on the assumption that the heavy baryon \Lambda_Q is composed of a heavy quark and a scalar, light diquark. It is found that in addition to the one B-S scalar function in the limit m_Q -> \infty, two more scalar functions are needed at the order 1/m_Q. These can be related to the B-S scalar function in the leading order. The six form factors for the weak transition \Lambda_b -> \Lambda_c are expressed in terms of these wave functions and the results are consistent with heavy quark effective theory to order 1/m_Q. Assuming the kernel for the B-S equation in the limit m_Q -> \infty to consist of a scalar confinement term and a one-gluon-exchange term we obtain numerical solutions for the B-S wave functions, and hence for the $\Lambda_b \to \Lambda_c$ form factors to order 1/m_Q. Predictions are given for the differential and total decay widths for \Lambda_b -> \Lambda_c l \bar{\nu}, and also for the nonleptonic decay widths for \Lambda_b -> \Lambda_c plus a pseudoscalar or vector meson, with QCD corrections being also included. Rights: ©2000 American Physical Society DOI: 10.1103/PhysRevD.61.116015 Published version: http://dx.doi.org/10.1103/PhysRevD.61.116015 Appears in Collections: Aurora harvest 7Special Research Centre for the Subatomic Structure of Matter publications

Files in This Item:
File Description SizeFormat