Strong coupling constants of negative parity heavy baryons with $\pi$ and $K$ mesons

TL;DR

This paper estimates the strong coupling constants of negative parity heavy baryons with light mesons using light cone QCD sum rules, providing insights into their interactions and comparing with positive parity baryons.

Contribution

It introduces a method to calculate coupling constants for negative parity heavy baryons and isolates their effects from positive parity contributions within the sum rules.

Findings

Coupling constants for negative parity baryons are successfully estimated.

Transitions can be described by a single function per class.

Comparison shows differences with positive parity baryon couplings.

Abstract

The strong coupling constants of negative parity heavy baryons belonging to a sextet and antitriplet representations of $SU_f(3)$ with light $\pi$ and $K$ mesons are estimated within the light cone QCD sum rules. It is observed that each class of the sextet-sextet, sextet-antitriplet, and antitriplet-antitriplet transitions can be described by only one corresponding function. The pollutions arising from the positive to positive, positive to negative, and negative to positive parity baryons transitions are eliminated by constructing sum rules for different Lorentz structures. The obtained coupling constants are compared with the ones for the positive parity heavy baryons.