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arxiv: 0905.0811 · v3 · submitted 2009-05-06 · ✦ hep-lat · hep-ph· nucl-th

Angular momentum content of the rho-meson in lattice QCD

classification ✦ hep-lat hep-phnucl-th
keywords chiralcontentrho-mesonbasisinfraredlatticemesonpartial
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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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