$1^{-+}$ exotic meson at light quark masses

Details $1^{-+}$ exotic meson at light quark masses $1^{-+}$ exotic meson at light quark masses

2005-09-23

arxiv.org/abs/hep-lat/0509106v2

Phys.Rev.D72:114507,2005

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 11 figures, 3 tables, published version

Scientific paper

10.1103/PhysRevD.72.114507

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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