Spectra of Baryons Containing Two Heavy Quarks in Potential Model

TL;DR

This paper develops a potential model for baryons with two heavy quarks using diquark-gluon interactions derived from Bethe-Salpeter equations, fitting parameters to B-meson data, and finds small mass splittings consistent with HQET.

Contribution

It introduces a novel potential model for heavy baryons based on diquark-gluon interactions derived from the Bethe-Salpeter equation, fitted to B-meson data.

Findings

Mass splittings between certain baryon states are very small.

Results are consistent with predictions from heavy quark effective theory.

The model provides a new approach to baryon spectroscopy involving heavy quarks.

Abstract

In this work, we employ the effective vertices for interaction between diquarks (scalar or axial-vector) and gluon where the form factors are derived in terms of the B-S equation, to obtain the potential for baryons including a light quark and a heavy diquark. The concerned phenomenological parameters are obtained by fitting data of $B^{(*)}-$mesons instead of the heavy quarkonia. The operator ordering problem in quantum mechanics is discussed. Our numerical results indicate that the mass splitting between $B_{3/2}(V), B_{1/2}(V)$ and $B_{1/2}(S)$ is very small and it is consistent with the heavy quark effective theory (HQET).