Instanton effects on electromagnetic transitions of charmonia

TL;DR

This paper studies how instanton effects influence the mass spectrum and electromagnetic decays of charmonia, finding that instantons have a marginal impact on these decays, with improved potential models aligning better with experimental data.

Contribution

It introduces a nonperturbative heavy-quark potential derived from the instanton vacuum and assesses its impact on charmonia properties compared to previous models.

Findings

Instanton effects are marginal on electromagnetic decays.

Improved potential models better match experimental data.

Screened confining potential enhances decay predictions.

Abstract

We investigate the mass spectrum and electromagnetic transitions of charmonia, emphasizing the instanton effects on them. The heavy-quark potential consists of the Coulomb-like potential from one-gluon exchange and the linear confining potential. We introduce the nonperturbative heavy-quark potential derived from the instanton vacuum. We also consider the screened confining potential, which better describes the electromagnetic decays of higher excited states. Using this improved heavy-quark potential, we compute the mass spectrum and electromagnetic decays of the charmonia. Focusing on the instanton effects, we discuss the results compared with the experimental data and those from other works. The instanton effects are marginal on the electromagnetic decays of charmonia.