Vertices of the heavy spin-3/2 sextet baryons with light vector mesons in QCD

TL;DR

This paper calculates the interaction vertices involving heavy spin-3/2 sextet baryons and light vector mesons using light cone sum rules, deriving sum rules for four coupling constants.

Contribution

It introduces a unified approach where multiple transition correlation functions are described by a single invariant function, simplifying the analysis.

Findings

Sum rules for four coupling constants are derived.

Correlation functions of different transitions are described by one invariant function.

Provides a theoretical framework for heavy baryon-light meson interactions.

Abstract

All transitions among the heavy spin--3/2 sextet baryons with participation of the light vector mesons $(B_Q^* B_Q V)$ are investigated in the framework of the light cone sum rules. These vertices are described by four coupling constants. The corresponding sum rules are derived for each coupling constant. It is shown that the correlation functions of different transitions can be described by only one invariant function.