Light and heavy at the end of the funnel

TL;DR

This paper demonstrates that a harmonic oscillator spectrum with universal frequency, combined with coupled-channel effects, better explains mesonic resonances across a wide mass range than traditional funnel potential models.

Contribution

It introduces a model using a constant-spaced bare mass spectrum with meson loop shifts, outperforming the conventional q-barq funnel potential in describing mesonic states.

Findings

Harmonic oscillator spectrum fits mesonic data well

Coupled-channel effects improve resonance descriptions

Model covers light scalars to b-bbar states

Abstract

We show that, by taking a bare mass spectrum with constant spacings for the quark-antiquark propagators, which is subject to considerable mass shifts from meson loops, one adequately describes a large variety of mesonic resonances, from the light scalars to the b-bbar states. All our results indicate that a harmonic-oscilator spectrum with universal frequency, in combination with coupled-channel effects, does a much better job than the q-barq spectrum of the funnel potential.