Tree Level Semileptonic $\Sigma_{b}$ to Nucleon Decay in Light Cone QCD Sum Rules

TL;DR

This paper calculates the transition form factors for the semileptonic decay of the $Sigma_b$ baryon to a nucleon using light cone QCD sum rules, confirming heavy quark symmetry and estimating decay rates.

Contribution

It introduces a comprehensive calculation of $Sigma_b o N$ transition form factors using the most general interpolating current and nucleon distribution amplitudes within light cone QCD sum rules, aligning with heavy quark effective theory.

Findings

Form factors satisfy heavy quark effective theory relations.

Decay rate of $Sigma_b o N l u$ estimated based on form factors.

Results support the applicability of light cone QCD sum rules to heavy baryon decays.

Abstract

Using the most general form of the interpolating current of the heavy spin 1/2, $\Sigma_{b}$ baryon and distribution amplitudes of the nucleon, the transition form factors of the semileptonic $\Sigma_{b}\to Nl\nu$ decay are calculated in the framework of light cone QCD sum rules. It is obtained that the form factors satisfy the heavy quark effective theory relations. The obtained results for the related form factors are used to estimate the decay rate of this transition.