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

Charmonium-like states with JP=1+ and isospin 1

9 Aug 2022, 15:20

20m

CP1-HSZ/0.010 (CP1-HSZ) - HS2 (CP1-HSZ)

Oral Presentation Hadron Spectroscopy and Interactions 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 $\overline{c}c\overline{q}q$ $J^{PC}=1^{+\pm }$ states with isospin 1. Many mesons with properties incompatible with a $\overline{c}c$ 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 $D{\overline{D}}^{\ast }$ scattering close to the threshold. A comparison to results from the phenomenological approaches is made, and the constraints on the scattering length are given.

Presentation materials

Sadl_Charmonium-like_states_JP_1p_I_1.pdf