Lattice QCD Calculation of π π Scattering Length

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傅子文

【期刊名称】《理论物理通讯（英文版）》【年(卷),期】2012(057)001

【摘要】We study s-wave pion-pion scattering length in lattice QCD for pion masses ranging from 330 MeV to 466 MeV. In the ＂Asqtad＂ improved staggered fermion formulation, we measure full ππ four-point correlators for isospin I = 0 and 2 channels, and use chiral perturbation theory at next-to-leading order to extrapolate our simulation results. Extrapolating to the physical pion mass yields scattering lengths as mna01=2 = -0.041 6（2） and mna01= 0.186（2） for isospin I = 2 and 0 channels, respectively. Our lattice simulation for ππ scattering length in I = 0 channel is an exploratory study, where we include the disconnected contribution, and our preliminary result is near to its experimental value. These simulations are carried out with MILC 2 ＋ 1 flavor gauge configurations at lattice spacing a ≈0.15 fm. 【总页数】7页(78-84)

【关键词】格点QCD;散射长度;计算;手征微扰理论;介子质量;子晶格;同位旋;费米子

【作者】傅子文

【作者单位】Key Laboratory of Radiation Physics and Technology （Sichuan University）, Ministry of Education, Institute of Nuclear

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