Choice of heavy baryon currents in the relativistic three-quark model

Abstract

We test the sensitivity of bottom baryon observables with regard to the choice of the interpolating three-quark currents within the relativistic three-quark model. We have found that the semileptonic decay rates are clearly affected by the choice of currents, whereas the asymmetry parameters show only a very weak dependence on the choice of current.

Semileptonic decays of theBcmeson

“…Recently, the RTQM was extended to include the effects of finite quark masses [19]. We mention that the authors of [20] have developed a relativistic quark model approach to the description of meson transitions which has similarities to our approach.…”

A light-cone QCD sum rule approach for the Ξ baryon electromagnetic form factors and the semileptonic decay Ξc→ Ξe+νe

“…It has been noticed that the current interpolating the baryon state is not unique early almost at the beginning when the QCD sum rules were used to the baryon [1,2]. There were many works devoted to this issue [3,4,5,6], particularly for the investigation on the electromagnetic form factors of the nucleon [7,8], which have shown that the choice of the interpolating current may affect the result to some extent. In the previous work [9], we examine the influence due to the choice of the interpolating current for the electromagnetic form factors of the Λ and Σ baryons.…”

Excited heavy baryon masses to orderΛQCD/mQfrom QCD sum rules

“…At the leading order of the 1/m Q expansion they do not mix with each other even with the same quantum number, but to the next-to-leading order the mixing of interpolating currents will appear. In our subsequent calculations we would only use those currents and did not consider the effect resulting from the mixing of interpolating currents for references [10,16,17] have shown that the stability criterion for QCD sum rule applications excludes the existence of interpolating currents mixing or though there does exist the mixing the numerical result will not change drastically compared with the case without mixing.…”