Double strangeness pentaquarks and other exotic hadrons in the $\Xi_b \to \Xi\ J/\Psi\ \phi$ decay

TL;DR

This paper investigates the existence of exotic pentaquark states, including double strange and hidden charm variants, through decay processes and meson-baryon interactions, providing predictions for their detection in specific invariant mass spectra.

Contribution

It introduces a model for meson-baryon interactions to predict new pentaquark states and analyzes decay spectra to identify potential experimental signatures of these exotic hadrons.

Findings

Identification of two candidate doubly strange pentaquarks at 4493 MeV and 4630 MeV.

Prediction that the doubly strange pentaquark could be detected in the 4580-4680 MeV mass range.

Analysis of decay spectra suggests possible detection of the $ ext{Xi}(2500)$ state.

Abstract

We study the possibility that four $\Xi$ resonances $(\Xi(1620)$, $\Xi(1690)$, $\Xi(1820)$, $\Xi(1950))$ could correspond to pentaquark states, in the form of meson-baryon bound systems. We also explore the possible existence of doubly strange pentaquarks with hidden charm $(P_{css})$ and find two candidates structured in a similar form, at energies of $4493~{\rm MeV}$ and $4630~{\rm MeV}$. The meson-baryon interaction is built from t-channel meson exchange processes which are evaluated using effective Lagrangians. Moreover we analyse the $\Xi_b\to\Xi~J/\psi~\phi$ decay process, which permits exploring the existence of the heavy double strange pentaquark, as well as other exotic hadrons, in the three different two-body invariant mass spectra of the emitted particles. In the $J/\psi\phi$ mass spectrum, we analyse the nature of the $X(4140)$ and $X(4160)$ resonances. In the $J/\psi\Xi$ invariant mass spectrum, we study the signal produced by the doubly strange pentaquark, where we conclude that it has a good chance to be detected in this reaction if its mass is around $4580-4680~{\rm MeV}$. Finally, in the $\phi\Xi$ spectrum we study the likelihood to detect the $\Xi(2500)$ state.