Analysis of the Isgur-Wise function of the $\Lambda_b \to \Lambda_c$ transition with light-cone QCD sum rules

TL;DR

This paper employs light-cone QCD sum rules to connect the $Lambda_b$ baryon distribution amplitudes with the Isgur-Wise function for the $Lambda_b o Lambda_c$ transition, providing a simple relation and numerical consistency with previous QCD sum rule predictions.

Contribution

It introduces a novel relation between baryon distribution amplitudes and the Isgur-Wise function using light-cone QCD sum rules, enhancing understanding of heavy baryon transitions.

Findings

The Isgur-Wise function $\xi(\omega)$ is numerically consistent with previous QCD sum rule predictions.

A simple relation between $Lambda_b$ distribution amplitudes and the Isgur-Wise function is established.

The approach provides a new method to analyze heavy baryon transitions.

Abstract

In this article, we use the light-cone QCD sum rules to relate the $\Lambda_b$ baryon light-cone distribution amplitudes to the Isgur-Wise function $\xi(\omega)$ of the $\Lambda_b \to \Lambda_c$ transition, and obtain a simple relation. The numerical value of the Isgur-Wise function $\xi(\omega)$ is consistent with the prediction of the QCD sum rules.