The π+π+ scattering length from maximally twisted mass lattice QCD

The π+π+ scattering length from maximally twisted mass lattice QCD
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DOI:
10.1016/j.physletb.2010.01.018
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发表时间:
2009-09
期刊:
影响因子:
4.4
通讯作者:
Xu Feng;K. Jansen;D. Renner
Xu Feng;K. Jansen;D. Renner
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Xu Feng;K. Jansen;D. Renner

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在晶格QCD中,当介子质量在270 MeV到485 MeV之间时,我们使用两种最大扭曲质量费米子在晶格间距为0.086 fm时,计算了介子在同位旋I=2通道中的s波散射长度。此外,我们在0.067 fm的更细的晶格间距上进行了一次计算,以检查晶格伪影。我们使用手性微扰理论在次领先的顺序来推断我们的结果。在物理介子质量处,我们发现m{sub p}ia{sub p}i{sub p}i{sup i =2}=-0.04385(28)(38),其中第一个误差是统计误差,第二个误差是我们对几种系统效应的估计。
We calculate the s-wave pion-pion scattering length in the isospin I=2 channel in lattice QCD for pion masses ranging from 270 MeV to 485 MeV using two flavors of maximally twisted mass fermions at a lattice spacing of 0.086 fm. Additionally, we check for lattice artifacts with one calculation at a finer lattice spacing of 0.067 fm. We use chiral perturbation theory at next-to-leading order to extrapolate our results. At the physical pion mass, we find m{sub p}ia{sub p}i{sub p}i{sup I=2}=-0.04385(28)(38) for the scattering length, where the first error is statistical and the second is our estimate of several systematic effects.