The effects of charmonium on the properties of the $1^{++}$ hidden charm poles in effective field theory

TL;DR

This paper investigates how charmonium influences the properties of $1^{++}$ hidden charm poles using effective field theory, focusing on the pole trajectories of the $ ext{chi}_{c1}(2P)$ state as the bare mass varies.

Contribution

It introduces an analysis of pole trajectories in effective field theory, highlighting the impact of charmonium properties on hidden charm states and their dependence on the bare mass and threshold proximity.

Findings

Pole trajectories change significantly with bare charmonium mass.

The behavior depends on the proximity of the pole to the meson threshold.

Results show radical changes in pole properties for certain mass values.

Abstract

In this study, the properties of the $J^{PC}=1^{++}$ hidden charm poles are analyzed under the variation of the bare 2P charmonium mass within the effective field theory proposed in Ref.[1]. The main focus of the current work is on the pole trajectory of the $\chi_{c1}(2P)$ charmonium dressed by the $D \bar{D}^*$ meson loops. It is shown that the trajectories of the pole change radically for values of the bare charmonium mass above a certain value and also depending on how close the pole is to the threshold.