Isospin sum rules in charmed baryon weak decays

TL;DR

This paper derives numerous isospin sum rules for charmed baryon decays, providing a tool to test isospin symmetry and explore new decay modes, including those involving exotic hadrons.

Contribution

It develops master formulas for isospin sum rules applicable to various charmed baryon decays, enhancing the understanding of isospin symmetry in charm physics.

Findings

Hundreds of isospin sum rules derived for charmed baryon decays

Sum rules remain valid even with intermediate resonances

Provides guidance for discovering new decay modes and exotic hadrons

Abstract

Isospin symmetry is the most precise flavor symmetry. The effective Hamiltonian of charm quark weak decay is zero under the isospin lowering operators $I_-^n$, which permits us to generate isospin sum rules through several master formulas. In this work, we derive the master formulas of isospin sum rules for the two- and three-body non-leptonic decays of singly and doubly charmed baryons. Hundreds of isospin sum rules are derived to test of isospin symmetry and provide hints for the new decay modes. The isospin sum rules for multi-body decays are not broken by the intermediate resonances and hence can be used to study the isospin partners of exotic hadrons.