Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-09-18
Phys. Rev. D84, 094008 (2011)
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages
Scientific paper
10.1103/PhysRevD.84.094008
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.
Cheng Hai-Yang
Shrock Robert
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