On the possible existence of a $S=-3, \, I=1$ pentaquark

TL;DR

This paper investigates the theoretical possibility of a triply strange pentaquark state with specific quantum numbers, using advanced chiral interaction models, and suggests experimental ways to detect it.

Contribution

It introduces a unitarized coupled-channel approach with NLO chiral interactions to predict a new $S=-3$, $I=1$ pentaquark state and discusses its potential experimental signatures.

Findings

NLO terms are essential for the attraction needed for the pentaquark.

Predicted $P_{sss}$ state could be observed via $ar{K} ext{-} ext{Xi}$ femtoscopic correlations.

The model supports the existence of a triply strange pentaquark with specific quantum numbers.

Abstract

We analyze the possible existence of a strangeness $S=-3$, isospin $I=1$ pentaquark state $P_{sss}$ generated dynamically from the $\bar{K}\Xi$ interaction. We employ a unitarized scheme in coupled channels based on the chiral Lagrangian expanded up to next-to-leading order (NLO), and show that the inclusion of the NLO terms is crucial to provide the necessary attraction that favors the existence of such triply strange pentaquark. The $\bar{K}\Xi$ femtoscopic correlation functions are calculated as example of a possible experimental measurement in which a direct signal of the $P_{sss}$ state could be observed.