Testing the $\chi_{c1}\, p$ composite nature of the $P_c(4450)$

TL;DR

This paper analyzes the nature of the $P_c(4450)$ resonance, suggesting it is predominantly a $hi_{c1}$ and proton bound state, with suppressed decay channels, similar to the $f_0(980)$ meson.

Contribution

It applies a new formalism to demonstrate that $P_c(4450)$ is mainly a $hi_{c1} p$ composite, providing insight into its structure and decay behavior.

Findings

$P_c(4450)$ is mainly a $hi_{c1} p$ bound state.

Decay into lighter channels like $J/ta p$ is suppressed.

The structure is analogous to the $f_0(980)$ meson.

Abstract

Making use of a recently proposed formalism, we analyze the composite nature of the $P_c(4450)$ resonance observed by LHCb. We show that the present data suggest that this state is almost entirely made of a $\chi_{c1}$ and a proton, due to the close proximity to this threshold. This also suppresses the decay modes into other, lighter channels, in our study represented by $J/\Psi p$. We further argue that this is very similar to the case of the scalar meson $f_0(980)$ which is located closely to the $K\bar K$ threshold and has a suppressed decay into the lighter $\pi\pi$ channel.