Abstract

The instanton effects on the charmonium spectrum is discussed in the framework of nonrelativistic potential model. The results from constituent quark model without inclusion of instanton effects is compared with the results for `the potential from constituent quark model + the contribution from the instanton liquid model'. We consider two models with the corresponding instanton potentials and discuss their relevance to explanations of the origin phenomenological parameters used in the nonrelativistic potential models. We also present the universal instanton potential in the parametrized form which can be useful in practical calculations.

Highlights

  • The physics of charmonia has entered a new era, since the finding of the first narrow exotic charmonium was reported by the Belle Collaboration [1]

  • We do not intend to carry out any fine-tuning to the experimental data but we concentrate on nonperturbative physics as to how the instanton-induced potentials have an effect on the charmonium spectrum

  • The results showed that the instantoninduced potentials improved the mass spectrum with the original values of the average size of the instanton and the average interdistance between instantons

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Summary

Introduction

The physics of charmonia has entered a new era, since the finding of the first narrow exotic charmonium was reported by the Belle Collaboration [1]. Many narrow exotic charmonium states have been consecutively observed [2,3,4,5,6,7,8,9,10,11,12,13] and were coined collectively the XYZ mesons (see recent reviews [14,15]). These new exotic charmonium states have drawn considerable attention Note that the static Coulomb-like potential was scrutinized already

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