Scaling of the 3P0 strength in heavy meson strong decays

TL;DR

This paper investigates the scale dependence of the 3P0 decay model's strength parameter across different heavy meson sectors, leading to improved decay width predictions for excited B mesons.

Contribution

It introduces a scale-dependent P0 strength parameter based on the reduced mass, enhancing decay width predictions for heavy mesons.

Findings

The P0 strength gamma depends on the quark-antiquark reduced mass.

The scale-dependent model accurately predicts decay widths of excited B mesons.

The approach unifies decay descriptions across light to heavy meson sectors.

Abstract

The phenomenological 3P0 decay model has been extensively applied to calculate meson strong decays. The strength \gamma\ of the decay interaction is regarded as a free flavor independent constant and is fitted to the data. We calculate through the 3P0 model the total strong decay widths of the mesons which belong to charmed, charmed-strange, hidden charm and hidden bottom sectors. The wave function of the mesons involved in the strong decays are given by a constituent quark model that describes well the meson phenomenology from the light to the heavy quark sector. A global fit of the experimental data shows that, contrarily to the usual wisdom, the \gamma\ depends on the reduced mass of the quark-antiquark pair in the decaying meson. With this scale-dependent strength \gamma, we are able to predict the decay width of orbitally excited B mesons not included in the fit.