2006/07/31 by Nilmani Mathur, A. Alexandru, Andrei Alexandru +14 · 99 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Lattice QCD #Meson #Muon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Scalar (mathematics) #Strange quark #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.76.114505
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 76(11) (American Physical Society) · 11 pages, 9 figures, accepted for publication in Phys. Rev. D
arxiv created 2007/10/04 · openalex publication_date 2007/12/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the a0 and \ensuremathσ mesons with the overlap fermion in the chiral regime with the pion mass as low as 182 MeV in the quenched approximation. After the \ensuremathη^\ensuremath'\ensuremathπ ghost states are separated, we find the a0 mass with the qq 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 ud meson and K0*(1430) being the us meson with calculated masses at 1.42\ifmmode±\else\textpm\fi0.13 GeV and 1.41\ifmmode±\else\textpm\fi0.12 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 \ensuremath∼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 \ensuremathσ(600) meson.