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https://hdl.handle.net/2440/10895
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Type: | Journal article |
Title: | Bethe-Salpeter equation for heavy baryons ωQ(*) in the diquark picture |
Other Titles: | Bethe-Salpeter equation for heavy baryons omegaQ(*) in the diquark picture |
Author: | Guo, X. Thomas, A. Williams, A. |
Citation: | Physical Review D: Particles, Fields, Gravitation and Cosmology, 1999; 59(11):116007- |
Publisher: | American Physical Society |
Issue Date: | 1999 |
ISSN: | 0556-2821 1550-2368 |
Statement of Responsibility: | X.-H. Guo, A. W. Thomas and A. G. Williams |
Abstract: | In the heavy quark limit, the heavy baryons ωQ(*) (ω stands for Σ, Ξ or Ω and Q=b or c) are regarded as composed of a heavy quark and an axial vector, light diquark with good spin and isospin quantum numbers. Based on this diquark picture we establish the Bethe-Salpeter (BS) equation for ωQ(*) in the limit where the heavy quark has infinite mass, mQ→∞. It is found that in this limit there are three components in the BS wave function for ωQ(*). Assuming the kernel to consist of a scalar confinement term and a one-gluon-exchange term we derive three coupled integral equations for the three BS scalar functions in the covariant instantaneous approximation. Numerical solutions for the three BS scalar functions are presented, including a discussion of their dependence on the various input parameters. These solutions are applied to calculate the Isgur-Wise functions ξ(ω) and ζ(ω) for the weak transitions Ωb(*)→Ωc(*). Using these we give predictions for the Cabibbo-allowed nonleptonic decay widths and up-down asymmetries for Ωb→Ωc(*) plus a pseudoscalar or vector meson. |
Rights: | ©1999 American Physical Society |
DOI: | 10.1103/PhysRevD.59.116007 |
Published version: | http://dx.doi.org/10.1103/physrevd.59.116007 |
Appears in Collections: | Aurora harvest 2 Special Research Centre for the Subatomic Structure of Matter publications |
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hdl_10895.pdf | Published version | 301.15 kB | Adobe PDF | View/Open |
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