Derivation of a 1/r^2 potential term for QQ-bar in a potential model

TL;DR

This paper introduces a new potential term, 1/r^2, in quarkonium models, derived from transformations of the vacuum, to better explain heavy-light meson spectra.

Contribution

It presents a novel derivation of an additional 1/r^2 potential term for QQ-bar systems, expanding the potential models for heavy quarkonia.

Findings

Derived a positive 1/r^2 potential term for QQ-bar quarkonium.

Clarified differences among existing potential models.

Enhanced understanding of mass spectra in heavy-light mesons.

Abstract

We clarify the difference among potential models so far proposed to explain mass spectra of heavy-light mesons via transformations of the vacuum. Applying our idea to QQ-bar quarkonium, we obtain the extra term, 1/r^2 with positive coefficient, other than non-relativistic potential terms expected for quarkonium.