2010 Fiscal Year Final Research Report

A Lattice QCD Study on Baryon Scatterings using Overlap Fermion

Research Project

Project/Area Number	20540288
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Single-year Grants
Section	一般
Research Field	Particle/Nuclear/Cosmic ray/Astro physics
Research Institution	High Energy Accelerator Research Organization
Principal Investigator	MORIMATSU Osamu 大学共同利用機関法人高エネルギー加速器研究機構, 素粒子原子核研究所, 准教授 (60210184)
Project Period (FY)	2008 – 2010
Keywords	格子QCD / ハドロン相互作用 / エキゾチックハドロン
Research Abstract	We studied the I=2ππscattering length by lattice QCD using the overlap fermion formulation. After correcting finite volume effects, obtained results are consistent with the prediction of the next-to-next-to-leading order(NNLO) chiral perturbation theory. The scattering length extrapolated to the physical pion mass coincides with the experimental value. We also obtained a low-energy constant of the NNLO chiral perturbation expansion. We also studied D_1 anti-D, D anti-D0 & , J/ψa_1,χ_<c1>ρscattering lengths by lattice QCD using Wilson fermion formulation in order to obtain a hint about the structure of Z(4430) which was found by Belle collaboration at KEK. We found attraction in all channels. Using the Luscher's formula we tentatively conclude that attraction form bound states in D_1 anti-D, D anti-D0 channels but not in J/ψa_1,χ_<c1>ρchannels.