| Lattice QCD Calculation of ππ Scattering Length |
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| 引用本文： | 傅子文.Lattice QCD Calculation of ππ Scattering Length[J].理论物理通讯,2012,57(1):78-84. |
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| 作者姓名： | 傅子文 |
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| 基金项目： | Supported by Fundamental Research Funds for the Central Universities under Grant No. 2010SCU23002;the Startup Grant fromthe Institute of Nuclear Science and Technology of Sichuan University |
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| 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 mπaI=2 0 = 0.041 6(2) and m π a I =0 0 = 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.
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| 收稿时间： | 2011-07-18 |
Lattice QCD Calculation ofππScattering Length |
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| FU Zi-Wen.Lattice QCD Calculation ofππScattering Length[J].Communications in Theoretical Physics,2012,57(1):78-84. |
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| Authors: | FU Zi-Wen |
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| Affiliation: | Key Laboratory of Radiation Physics and Technology (Sichuan University), Ministry of Education, Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064, China |
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| Abstract: | 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 fullππ 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 asmπ a0I=2 = -0.0416(2) and mπ a0I=0= 0.186(2)
for isospin I=2 and 0 channels, respectively. Our lattice simulation forππ 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 MILC2+1 flavor gauge configurations at lattice spacing a≈0.15 fm. |
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| Keywords: | lattice QCD energy shift scattering length four point function |
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