Bolstering up the existence of $P_s(2080)$

TL;DR

This paper investigates a hypothesized nucleon resonance, $P_s(2080)$, with hidden strangeness, analyzing its decay channels and suggesting experimental reactions to better understand its properties.

Contribution

It provides a detailed theoretical study of the decay widths and channels of the $P_s(2080)$ resonance, highlighting its strong coupling to specific vector-baryon channels and its potential experimental signatures.

Findings

The $P_s(2080)$ couples strongly to the $K^*\Sigma$ channel.

Partial decay widths to pseudoscalar-baryon resonance channels are comparable to ground state baryons.

Reactions involving lighter baryon resonances can serve as alternative probes for hidden strangeness nucleon states.

Abstract

We present a detailed study of the partial decay widths of a spin-parity resonance $J^P=3/2^-$ $N^*$ with a mass of $\simeq$ 2070 MeV obtained from the coupled channel s wave vector-baryon $\rho N$, $\omega N$, $\phi N$, $K^*\Lambda$ and $K^*\Sigma$ dynamics. This state, which couples strongly to the $K^*\Sigma$ channel, corresponds to a nucleon with a hidden strange quark content, in analogy to the $P_c$ states discovered by the LHCb collaboration, and we denote it as $P_s(2080)$. A state with such a nature can decay to vector-baryon, pseudoscalar-baryon, and pseudoscalar-baryon resonance channels, involving triangular loops in the latter two cases. As we will show, the partial decay widths to pseudoscalar-baryon resonance channels, like $\pi N^*(1535)$, $\pi N^*(1650)$, $K\Lambda(1405)$, are comparable to those related to ground state baryons in the final state, like $\pi N$, $\eta N$, $K\Lambda$. In this way, reactions involving such lighter baryon resonances in the final state can be used as an alternative source of information on the properties of a $N^*$ with hidden strangeness.