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arxiv: hep-lat/0509106 · v2 · submitted 2005-09-23 · ✦ hep-lat

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1⁻⁺ exotic meson at light quark masses

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classification ✦ hep-lat
keywords massexoticlightmassesquarkchiralclosefind
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The mass of the $1^{-+}$ exotic meson, created with hybrid interpolating fields, is explored at light quark masses approaching 25 MeV ($m_\pi / m_\rho \simeq 1/3$). Access to such light quark masses is facilitated by the use of the Fat-Link Irrelevant Clover (FLIC) fermion action. Additionally, we make use of large ($20^3 \times 40$) lattices to obtain good control of statistical and finite volume errors. Our results indicate that the $1^{-+}$ exotic exhibits significant curvature close the chiral limit, indicating previous linear extrapolations, far from the chiral regime, have overestimated the mass of the $1^{-+}$. We find for the first time in lattice studies a $1^{-+}$ mass in agreement with the $\pi_1 (1600)$ candidate. We also find a strangeness $\pm$1 $J^P = 1^-$ state with a mass close to 2 GeV.

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  1. Interaction and correlation functions for $\pi f_1(1285)$, $\eta f_1(1285)$

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    Using the fixed-center approximation, the π⁰(η) f₁(1285) interaction yields scattering parameters and correlation functions but no clear poles for the π₁(1400), π₁(1600), or η₁(1855) resonances, only a broad structure...