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arXiv · 0905.0811

Angular momentum content of the rho-meson in lattice QCD

Leonid Ya. Glozman·C. B. Lang·Markus Limmer
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Abstract

The variational method allows one to study the mixing of interpolators with different chiral transformation properties in the non-perturbatively determined physical state. It is then possible to define and calculate in a gauge-invariant manner the chiral as well as the partial wave content of the quark-antiquark component of a meson in the infrared, where mass is generated. Using a unitary transformation from the chiral basis to the LSJ basis one may extract a partial wave content of a meson. We present results for the ground state of the rho-meson using quenched simulations as well as simulations with two dynamical quarks, all for lattice spacings close to 0.15 fm. We point out that these results indicate a simple 3S1-wave composition of the rho-meson in the infrared, like in the SU(6) flavor-spin quark model.

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Leonid Ya. Glozman, C. B. Lang, Markus Limmer. 2009-09-14. Angular momentum content of the rho-meson in lattice QCD. https://doi.org/10.1103/physrevlett.103.121601

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