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

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 $\omega$-$\varphi$ and $f_2(1275)$-$f_2^{\prime }(1525)$ mixing is included.

Comments: 10 pages