Analysis of heavy spin--3/2 baryon--heavy spin--1/2 baryon--light vector meson vertices in QCD

TL;DR

This paper uses light cone QCD sum rules to analyze the vertices between heavy spin-3/2 and spin-1/2 baryons with light vector mesons, calculating the associated coupling constants.

Contribution

It provides a systematic calculation of the three coupling constants for all possible heavy baryon-light vector meson transitions within the light cone QCD sum rules framework.

Findings

Correlation functions are described by a single invariant function per Lorenz structure.

Relations between different transition correlation functions are structure independent.

Explicit invariant function expressions depend on Lorenz structure.

Abstract

The heavy spin--3/2 baryon--heavy spin--1/2 baryon vertices with light vector mesons are studied within the light cone QCD sum rules method. These vertices are parametrized in terms of three coupling constants. These couplings are calculated for all possible transitions. It is shown that correlation functions for these transitions are described by only one invariant function for every Lorenz structure. The obtained relations between the correlation functions of the different transitions are structure independent while explicit expressions of invariant functions depend on the Lorenz structure.