The semileptonic decays of $Ω_{b}^{*}$, $Σ_{b}^{*}$ and $Ξ_{b}^{\prime*}$ baryons

Abstract

In this article, we employ the QCD sum rules basing on three-point correlation function to systematically analyze the transition form factors for the semileptonic decays of the spin \(\frac{3}{2}^{+}\) bottom baryons (\(Ω_{b}^{*}\), \(Σ_{b}^{*}\), and \(Ξ_{b}^{\prime *}\)) to their corresponding spin \(\frac{1}{2}^{+}\) charmed partners. On the phenomenological side, we eliminate the contaminations of the baryons with negative parity and those with lower spin states. The operator product expansion is carried out up to dimension-six condensates, including the perturbative part, quark condensate \(\langle \bar{q} q\rangle\), gluon condensate \(\langle g_{s}^{2}GG\rangle\), mixed condensate \(\langle \bar{q} g_{s}σGq\rangle\), and four-quark condensates \(\langle \bar{q} q\rangle^{2}\) and \(g_{s}^{2}\langle \bar{q} q\rangle^{2}\). The form factors are evaluated in the space-like region and then are fitted into the time-like physical region via a $z$-series expansion approach. Finally, the semileptonic decay widths for $Ω_{b}^{*}$, $Σ_{b}^{*}$ and $Ξ_{b}^{\prime*}$ baryons are calculated with our predicted form factors, and various polarization observables are also predicted. The predicted results in this work are compared with those predicted by other collaborations, and are expected to be useful for studying the properties of these singly heavy baryons.