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arXiv · 1109.3877

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

Hai-Yang Cheng·Robert Shrock
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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.

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Hai-Yang Cheng, Robert Shrock. 2011-09-18. Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory. https://doi.org/10.1103/physrevd.84.094008

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