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

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 $D{\bar{D}}^{\ast }$ 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.

Comments: 24 pages, 2 figures