Charmonia in moving frames

TL;DR

This paper discusses lattice simulations of moving charmonium states, emphasizing the importance of identifying total angular momentum and parity to distinguish states with similar energies but different quantum numbers.

Contribution

It introduces methods for spin-identification of charmonium states in moving frames within lattice QCD simulations, addressing challenges due to reduced symmetry.

Findings

Preliminary results on spin-identification techniques.

Insights into charmonium resonances in motion.

Implications for analyzing scattering matrices in lattice QCD.

Abstract

Lattice simulation of charmonium resonances with non-zero momentum provides additional information on the two-meson scattering matrices. However, the reduced rotational symmetry in a moving frame renders a number of states with different $J^P$ in the same lattice irreducible representation. The identification of $J^P$ for these states is particularly important, since quarkonium spectra contain a number of states with different $J^P$ in a relatively narrow energy region. Preliminary results concerning spin-identification are presented in relation to our study of charmonium resonances in flight on the Nf=2+1 CLS ensembles.