Scattering of decuplet baryons in chiral effective field theory

TL;DR

This paper develops a formalism within chiral effective field theory to describe the scattering of decuplet baryons, providing a foundation for analyzing baryon interactions and comparing with lattice QCD results.

Contribution

It introduces a minimal Lagrangian and potentials for decuplet baryon interactions in SU(3) chiral EFT, extending previous frameworks to include decuplet baryons and their scattering processes.

Findings

Comparison with lattice QCD results for $ ext{ΩΩ}$ and $ ext{NΩ}$ scattering.

Implications for the search for dibaryons.

Formalism applicable to various baryon scattering channels.

Abstract

A formalism for treating the scattering of decuplet baryons in chiral effective field theory is developed. The minimal Lagrangian and potentials in leading-order SU(3) chiral effective field theory for the interactions of octet baryons ($B$) and decuplet baryons ($D$) for the transitions $BB\to BB$, $BB\leftrightarrow DB$, $DB\to DB$, $BB\leftrightarrow DD$, $DB\leftrightarrow DD$, and $DD\to DD$ are provided. As an application of the formalism we compare with results from lattice QCD simulations for $\Omega\Omega$ and $N\Omega$ scattering. Implications of our results pertinent to the quest for dibaryons are discussed.