The phase-shift of isospin-2 pi-pi scattering from lattice QCD
The phase-shift of isospin-2 pi-pi scattering from lattice QCD
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DOI：
10.1103/physrevd.83.071504
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发表时间：
2010-11
影响因子：
5
通讯作者：
J. Dudek;R. Edwards;M. Peardon;D. Richards;Christopher E. Thomas
中科院分区：
文献类型：
--
作者：
J. Dudek;R. Edwards;M. Peardon;D. Richards;Christopher E. Thomas
晶格QCD计算提供了从用L uscher方法计算的能量依赖的弹性相移中提取共振参数的可能性。在这封信中，作为该方法的一个尝试，我们报告的非共振相移提取$S$和$D $波$$\pi\pi$$的同位旋-2散射的动力学晶格QCD计算。我们定义了一个变分的基础上运营商类似对的π介子的确定的相对动量和提取的光谱的激发态映射到相移在一组离散的散射动量。在多个空间体积上用400 $和520 $ MeV之间的π介子质量进行计算。我们没有观察到显着的夸克质量依赖的相移提取这是在合理的协议与现有的实验数据在低动量。
Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the L\"uscher technique. In this letter, as a trial of the method, we report on the extraction of the non-resonant phase-shift for $S$ and $D$-wave $$\pi\pi$$ isospin-2 scattering from dynamical lattice QCD computations. We define a variational basis of operators resembling pairs of pions of definite relative momentum and extract a spectrum of excited states that maps to phase-shifts at a set of discrete scattering momenta. Computations are performed with pion masses between $400$ and $520$ MeV on multiple spatial volumes. We observe no significant quark mass dependence in the phase-shifts extracted which are in reasonable agreement with the available experimental data at low momentum.