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Spectra of Baryons Containing Two Heavy Quarks in Potential Model

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arxiv hep-ph/9910259 v1 pith:WHJ27V2X submitted 1999-10-07 hep-ph

classification hep-ph
keywords heavybaryonseffectivepotentialquarkaxial-vectorconcernedconsistent
verification ladder T0 review T1 audit T2 compute T3 formal
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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).

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