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

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

Jul, 2006

10 pages

Published in:

Phys.Rev.D 76 (2007) 114505

e-Print:

hep-ph/0607110 [hep-ph]

DOI:

10.1103/PhysRevD.76.114505

Report number:

JLAB-THY-06-511,
UK-06-06

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Abstract:

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'N 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. We also calculate the scalar mesonium with a tetraquark interpolation field. In addition to the two pion scattering states, we found 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.

Note:

10 pages, 5 figures Report-no: JLAB-THY-06-511, UK/06-06

12.38.Gc
14.20.Gk
11.15.Ha
a0(1450): mass
symmetry: chiral
lattice field theory
quantum chromodynamics
approximation: quenching
pi: mass
mass: strangeness

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