arXiv 0710.11732007-10-05hep-lathep-phnucl-th

具有动态扭曲质量费米子的重子质量

Baryon masses with dynamical twisted mass fermions

ETM Collaboration, Constantia Alexandrou, Tomasz Korzec, Giannis Koutsou, Remi Baron, Pierre Guichon, Mariane Brinet, Jaume Carbonell, Vincent Drach, Zhaofeng L… 展开作者

ETM Collaboration, Constantia Alexandrou, Tomasz Korzec, Giannis Koutsou, Remi Baron, Pierre Guichon, Mariane Brinet, Jaume Carbonell, Vincent Drach, Zhaofeng Liu, Olivier Pène, Carsten Urbach

备注：: 7 pages, 9 figures. Talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
发表信息：: PoSLAT2007:087,2007

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摘要：

本文给出了用两个动力学简并的扭曲质量夸克计算核子和$Δ$质量的结果。评估是在四个夸克质量对应的π介子质量在690-300兆电子伏的范围内的大小为2.1分和2.7分的晶格。我们检查截断效应通过评估这些重子质量的晶格空间大小为2.1 FM与晶格间距$a(β=3.9)=0.0855(6)$ FM和$a(β=4.05)=0.0666(6)$ FM，确定从π扇区，并发现它们是在我们的统计误差。晶格结果外推到物理极限使用连续手征微扰理论。在物理点的核子质量提供了晶格间距的确定。利用重子手征微扰理论在${\cal O}(p^3)$，我们发现$a(β=3.9)=0.0879(12)$ fm，与系统误差由于手征外推估计是大约相同的统计误差。晶格间距的这个值与π介子扇区确定的值非常一致。我们检查了$Δ$ -系统中的同位旋破缺。我们发现$Δ^{++,-}$和$Δ^{+,0}$几乎是简并的，指向小的味道违反效果。

英文摘要：

We present results on the mass of the nucleon and the $Δ$ using two dynamical degenerate twisted mass quarks. The evaluation is performed at four quark masses corresponding to a pion mass in the range of 690-300 MeV on lattices of size 2.1 fm and 2.7 fm. We check for cutoff effects by evaluating these baryon masses on lattices of spatial size 2.1 fm with lattice spacings $a(β=3.9)=0.0855(6)$ fm and $a(β=4.05)=0.0666(6)$ fm, determined from the pion sector and find them to be within our statistical errors. Lattice results are extrapolated to the physical limit using continuum chiral perturbation theory. The nucleon mass at the physical point provides a determination of the lattice spacing. Using heavy baryon chiral perturbation theory at ${\cal O}(p^3)$ we find $a(β=3.9)=0.0879(12)$ fm, with a systematic error due to the chiral extrapolation estimated to be about the same as the statistical error. This value of the lattice spacing is in good agreement with the value determined from the pion sector. We check for isospin breaking in the $Δ$-system. We find that $Δ^{++,-}$ and $Δ^{+,0}$ are almost degenerate pointing to small flavor violating effects.

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