Charmonium-like states from scattering on the lattice

TL;DR

This study uses lattice QCD to investigate charmonium-like states, identifying a candidate for X(3872), exploring the Z_c^+(3900) channel, and finding a potential resonance chi_c0^' in the J^PC=0^++ channel.

Contribution

First lattice QCD analysis of multiple charmonium-like states, including X(3872), Z_c^+(3900), and chi_c0^', with new candidate identifications and scattering state insights.

Findings

X(3872) candidate found below DD* threshold

No Z_c^+(3900) candidate detected in studied channel

Potential chi_c0^' resonance identified in J^PC=0^++ channel

Abstract

Three charmonium-like states were studied using lattice QCD. The candidate for X(3872) was found slightly below DD* threshold in the channel with J^PC=1^++ and I=0, where cc as well as DD* and $J/\psi \omega$ interpolating operators were used. A charmonium-like channel with J^PC=1^+- and I=1 was also studied, as the recently discovered Z_c^+(3900) might reside there. Here $J/\psi \pi$ and DD* scattering states were found, but no candidate for the Z_c^+(3900). We present also preliminary results for the J^PC=0^++ charmonium channel, where cc, DD and $J/\psi \omega$ interpolating operators were used. A candidate for a resonance, chi_c0^', that couples to DD in J^PC=0^++ was found.