Nature of the a1 meson in lattice quantum chromodynamics studied with chiral fermions

Abstract

We study the a1 meson using a quenched lattice quantum chromodynamics simulation with the truncated overlap fermions formalism based on the domain wall fermions. The obtained lightest mass of the a1 meson, 1272(45) MeV, is consistent with the experimental value for a1(1260). Thus, a1(1260) can be identified to have a simple two-body constituent-quark structure. Our quenched simulation result of a1(1420) can not explain the experimental mass value, which suggests a1(1420) is not a simple qq two quark state.

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