Prediction for $5^{++}$ mesons

TL;DR

This paper predicts the mass spectrum and decay behaviors of the missing $5^{++}$ meson family using a modified quark model, aiding future experimental searches for these particles.

Contribution

It introduces a modified Godfrey-Isgur model with color screening to predict properties of the $5^{++}$ mesons, which has not been done before.

Findings

Predicted masses of $a_5$, $f_5$, and $f_5'$ mesons.

Calculated their two-body strong decay widths.

Provided guidance for future experimental detection.

Abstract

In this paper, we study the spectrum and decay behavior of $5^{++}$ meson family which is still missing in experiment. By the modified Godfrey-Isgur model with a color screening effect, we obtain the mass spectrum of $a_5$, $f_5$ and $f_5^\prime$ mesons. And we predict their two-body strong decays by means of a phenomenology quark pair creation model. This study is crucial to establish $J^{PC}=5^{++}$ meson family and it is also helpful to search for these states in the future.