Molecular $P_{\psi}$ pentaquarks from light-meson exchange saturation

TL;DR

This paper models heavy meson-baryon interactions using light-meson exchange saturation to predict molecular pentaquark states, providing insights into their spectrum and potential experimental candidates.

Contribution

It introduces a phenomenological model with light-meson exchange saturation to predict heavy meson-baryon bound states and pentaquarks, calibrated with known molecular candidates.

Findings

Predicted a series of molecular pentaquarks including $P_{ ext{psi}}^N(4440)$ and $P_{ ext{psi}}^N(4457)$

Predicted $P_{ ext{psi}s}^{ ext{Lambda}}(4338)$ and $P_{ ext{psi}s}^{ ext{Lambda}}(4459)$

Model successfully relates light-meson exchange to heavy pentaquark spectrum

Abstract

Theoretical predictions for the spectrum of heavy meson-baryon bound states are a fundamental tool for disentangling the nature of the different pentaquark states that have been observed in experimental facilities. Here we explore this spectrum in a phenomenological model that describes the heavy meson-baryon interaction in terms of a contact-range interaction, where the coupling strength is saturated by the exchange of light scalar and vector mesons, i.e. $\sigma$, $\rho$ and $\omega$ exchanges. Saturation determines the couplings modulo an unknown proportionality constant that can be calibrated from a molecular candidate. If we use the $P_{\psi}^N(4312)$ as input, we predict a series of molecular pentaquarks including the $P_{\psi}^N(4440)$ and $P_{\psi}^N(4457)$, the recent $P_{\psi s}^{\Lambda}(4338)$ and the $P_{\psi s}^{\Lambda}(4459)$.