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arXiv · 1012.0082

Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation

M. -H. Weng·X. -H. Guo·A. W. Thomas
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Abstract

In the heavy quark limit, a doubly heavy baryon is regarded as composed of a heavy diquark and a light quark. We establish the Bethe-Salpeter (BS) equations for the heavy diquarks and the doubly heavy baryons, respectively, to leading order in a $1/m_{Q}$ expansion. The BS equations are solved numerically under the covariant instantaneous approximation with the kernels containing scalar confinement and one-gluon-exchange terms. The masses for the heavy diquarks and the doubly heavy baryons are obtained and the non-leptonic decay widths for the doubly heavy baryons emitting a pseudo-scalar meson are calculated within the model.

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M. -H. Weng, X. -H. Guo, A. W. Thomas. 2010-12-01. Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation. https://doi.org/10.1103/physrevd.83.056006

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