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arXiv 1011.3233hep-latnucl-exnucl-th
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具有$N_F=2+1$畴壁费米子的核子到δ跃迁形状因子

Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions

C. Alexandrou, G. Koutsou, J. W. Negele, Y. Proestos, A. Tsapalis

摘要:

用两个动力学轻简并夸克和一个动力学奇异夸克,用畴壁费米子作用量模拟,计算了核子到$Δ(1232)$跃迁的电磁、轴向和赝标形状因子.在晶格间距$a = 0.114$ fm和$a=0.084$ fm处获得结果,相应的π介子质量分别为$330$ MeV和$297$ MeV。利用相干吸收技术实现了高统计量的测量。主要的电磁偶极子形状因子,轴向形状因子和赝标量耦合提取到一个很好的精度。这使得非对角Goldberger-Treiman关系的调查。特别强调的是次主导的电磁四极形状因子和占主导地位的偶极形状因子,$R_{EM}$和$R_{SM}$,在实验中测量的提取。

英文摘要:

We calculate the electromagnetic, axial and pseudo-scalar form factors of the Nucleon to $Δ(1232)$ transition using two dynamical light degenerate quarks and a dynamical strange quark simulated with the domain wall fermion action. Results are obtained at lattice spacings $a = 0.114$ fm and $a=0.084$ fm, with corresponding pion masses of $330$ MeV and $297$ MeV, respectively. High statistics measurements are achieved by utilizing the coherent sink technique. The dominant electromagnetic dipole form factor, the axial form factors and the pseudo-scalar coupling are extracted to a good accuracy. This allows the investigation of the non-diagonal Goldberger-Treiman relation. Particular emphasis is given on the extraction of the sub-dominant electromagnetic quadrupole form factors and their ratio to the dominant dipole form factor, $R_{EM}$ and $R_{SM}$, measured in experiment.

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