# Settling the $Z_c(4600)$ in the charged charmonium-like family

## TL;DR

This paper investigates the recently observed $Z_c(4600)$ and related charged charmonium-like states, proposing they are radial excitations with similar quantum numbers, and suggests exploring more such relationships to understand exotic hadrons.

## Contribution

It establishes a potential link between higher and lower charged charmonium-like states as radial excitations, offering a new perspective on their structure.

## Key findings

- Higher states are likely radial excitations of lower states.
- All states share the quantum numbers $J^{PC}=1^{+-}$.
- Proposes further searches for relationships among exotic hadrons.

## Abstract

Very recently LHCb reported the evidence of a new charged charmonium-like structure in the $J/\psi \pi^-$ invariant mass spectrum near 4600 MeV. In this work we investigate this structure together with three other charged charmonium-like states, the $Z_c(3900)$, $Z_c(4020)$, and $Z_c(4430)$. Our results suggest that the two higher states can be established as the first radial excitations of the two lower ones, all of which have the quantum numbers $J^{PC}=1^{+-}$. We propose to search for more relationship among exotic hadrons in order to better understand them.