Scalar Mesons a0(1450) and sigma(600) from Lattice QCD

Details Scalar Mesons a0(1450) and sigma(600) from Lattice QCD Scalar Mesons a0(1450) and sigma(600) from Lattice QCD

2006-07-10

arxiv.org/abs/hep-ph/0607110v2

Phys.Rev.D76:114505,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 9 figures, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.114505

We study the a0 and sigma mesons with the overlap fermion in the chiral regime with the pion mass as low as 182 MeV in the quenched approximation. After the eta'pi ghost states are separated, we find that the a0 mass with q\bar{q} interpolation field to be almost independent of the quark mass in the region below the strange quark mass. The chirally extrapolated results are consistent with a0(1450) being the u\bar{d} meson and K0*(1430) being the u\bar{s} meson with calculated masses at 1.42+_0.13 GeV and 1.41+_ 0.12 GeV respectively. We also calculate the scalar mesonium with a tetraquark interpolation field. In addition to the two pion scattering states, we find a state at around 550 MeV. Through the study of volume dependence, we confirm that this state is a one-particle state, in contrast to the two-pion scattering states. This suggests that the observed state is a tetraquark mesonium which is quite possibly the sigma(600) meson.

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