Determination of $f_0 - a_0^0$ mixing angle from QCD sum rules

TL;DR

This paper estimates the mixing angle between $f_0$ and $a_0^0$ mesons using QCD sum rules, assuming they are mixed states of two-quark and tetraquark configurations, providing a testable prediction for future experiments.

Contribution

It introduces a QCD sum rules approach to estimate the $f_0 - a_0^0$ mixing angle considering mixed quark-tetraquark states, offering a novel theoretical prediction.

Findings

Mixing angle estimated as $(6.03 \, \pm \, 0.08)^{\circ}$

Prediction can be tested in future experiments

Supports the mixed state structure hypothesis

Abstract

By assuming that the $f_0$ and $a_0^0$ mesons are mixed states of the two-quark - tetraquark, the mixing angle between them is estimated within QCD sum rules method, and it is obtained that the mixing angle is $(6.03 \pm 0.08)^\circ$. Our prediction on mixing angle can be checked in further experiments which can shed light on choosing the "right" structure of $f_0$ and $a_0^0$ mesons.