Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory

TL;DR

This paper investigates vector and tensor meson mixing in a generalized QCD-like theory with multiple light quarks and one heavy quark, deriving mixing angles and mass relations, and comparing with experimental data.

Contribution

It provides a generalized theoretical framework for meson mixing angles and mass relations in QCD-like theories with multiple light quarks and one heavy quark.

Findings

Mixing angle approaches arctan(1/√ℓ) as heavy quark mass increases.

Generalized Gell-Mann Okubo mass relation derived.

Comparison with experimental data on ω-ϕ and f₂(1275)-f₂'(1525) mixing included.

Abstract

We present results for the mixing of quark flavor eigenstates to form low-lying vector and tensor meson mass eigenstates in a generalized QCD-like theory with $\ell$ massless or light, degenerate quarks and one quark of substantial mass, $m_Q$. We show that as $m_Q/\Lambda$ gets large, where $\Lambda$ is the confinement scale, the angle governing this mixing approaches $\arctan(1/\sqrt{\ell})$. We give a generalization of the Gell-Mann Okubo mass relation for this theory. A comparison of the $\ell=2$ results with data on $\omega$-$\phi$ and $f_2(1275)$-$f_2'(1525)$ mixing is included.