One-pion transitions between heavy baryons in the constituent quark model

TL;DR

This paper analyzes single pion transitions between heavy baryons using a constituent quark model and Heavy Quark Symmetry, providing decay rate estimates and a general angular momentum framework for these processes.

Contribution

It introduces a unified approach combining constituent quark models and angular momentum theory to describe heavy baryon pion transitions under Heavy Quark Symmetry.

Findings

Decay rates for specific charm baryon transitions estimated.

A general angular momentum formalism for pion transitions developed.

Reduction of coupling factors using SU(2N_f) x O(3) symmetry.

Abstract

Single pion transitions of S wave to S wave, P wave to S wave and P wave to P wave heavy baryons are analyzed in the framework of the Heavy Quark Symmetry limit (HQS). We use a constituent quark model picture for the light diquark system with an underlying SU(2N_{f}) X O(3) symmetry to reduce the number of the HQS coupling factors required to describe these transitions. We also use the quantum theory of angular momentum to rewrite the one-pion transitions constituent quark model results in a more general form using the 6j- and 9j-symbols. We finally estimate the decay rates of some single pion transitions between charm baryon states.