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

preprint2011arXivOpen access

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 ℓ\ell massless or light, degenerate quarks and one quark of substantial mass, mQm_Q. We show that as mQ/Λm_Q/Λ gets large, where ΛΛ is the confinement scale, the angle governing this mixing approaches arctan⁡(1/ℓ)\arctan(1/\sqrt{\ell}). We give a generalization of the Gell-Mann Okubo mass relation for this theory. A comparison of the ℓ=2\ell=2 results with data on ωω-ϕϕ and f2(1275)f_2(1275)-f2′(1525)f_2'(1525) mixing is included.

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