Light cone QCD sum rules study of the semileptonic heavy $\Xi_{Q}$ and $\Xi'_{Q}$ transitions to $\Xi$ and $\Sigma $ baryons

TL;DR

This paper uses light cone QCD sum rules to calculate form factors, decay rates, and branching fractions for semileptonic decays of heavy $\\Xi_{Q}$ and $\\Xi'_{Q}$ baryons into lighter baryons, providing detailed theoretical predictions.

Contribution

It introduces a comprehensive calculation of all relevant form factors for these decays using the most general interpolating currents and distribution amplitudes within full QCD.

Findings

Calculated decay rates and branching fractions for heavy baryon semileptonic decays.

Provided detailed form factors for transitions involving $\\Xi_{Q}$ and $\\Xi'_{Q}$ baryons.

Enhanced theoretical understanding of heavy baryon decay mechanisms.

Abstract

The semileptonic decays of heavy spin--1/2, $\Xi_{b(c)}$ and $\Xi'_{b(c)}$ baryons to the light spin-- 1/2, $\Xi$ and $\Sigma $ baryons are investigated in the framework of the light cone QCD sum rules. In particular, using the most general form of the interpolating currents for the heavy baryons as well as the distribution amplitudes of the $\Xi$ and $\Sigma $ baryons, we calculate all form factors entering the matrix elements of the corresponding effective Hamiltonians in full QCD. Having calculated the responsible form factors, we evaluate the decay rates and branching fractions of the related transitions.