Soliton Picture for Pentaquarks

TL;DR

This paper compares bound state and rigid rotator approaches in chiral soliton models for pentaquarks, demonstrating their consistency and enabling precise width calculations for the $ heta^+$ pentaquark.

Contribution

It provides a detailed comparison showing the equivalence of two methods for modeling pentaquarks in chiral soliton theories, clarifying their relationship.

Findings

Both approaches are consistent in the large $N_C$ limit.

The scattering amplitude includes contributions from the exchange of the rigid pentaquark.

The comparison allows for unambiguous computation of the $ heta^+$ pentaquark width.

Abstract

In this talk I report on a thorough comparison between the bound state and rigid rotator approaches to generate baryon states with non--zero strangeness in chiral soliton models. This comparison shows that the scattering amplitude in the bound state approach contains contributions generated by the exchange of the rigid pentaquark excitation, and that the two approaches are consistent with each other in the large $N_C$ limit. The comparison paves the way to unambiguously compute the width of the $\Theta^+$ pentaquark in chiral soliton models.