# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Charmonium-like states with $J^{P}=1^{+}$ and isospin 1

Aug 9, 2022, 3:20 PM
20m
CP1-HSZ/Ground-0.010 - HS2 (CP1-HSZ)

### CP1-HSZ/Ground-0.010 - HS2

#### CP1-HSZ

450
Oral Presentation Hadron Spectroscopy and Interactions

### Speaker

Mitja Sadl (Faculty of Mathematics and Physics, University of Ljubljana)

### Description

We present an investigation of the spectrum of exotic charmonium-like mesons using lattice QCD. The focus is on $\bar cc \bar qq$ $J^{PC}=1^{+\pm}$ states with isospin 1. Many mesons with properties incompatible with a $\bar cc$ structure have already been discovered, e. g. the $Z_c$ mesons with isospin 1. A lattice study of a four-quark system with two different total momenta and on two different lattice sizes is made. We extract the energy levels, use Lüscher's formalism, and determine the scattering length for the $D\bar D^*$ scattering close to the threshold. A comparison to results from the phenomenological approaches is made, and the constraints on the scattering length are given.

### Primary authors

Mitja Sadl (Faculty of Mathematics and Physics, University of Ljubljana) Sara Collins (University of Regensburg) M. Padmanath (Helmholtz Inst., Mainz) Sasa Prelovsek (University of Ljubljana, Jozef Stefan Institute)