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arXiv 1011.6403hep-ph
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非定域手征夸克模型中的π辐射弱衰变

Pion radiative weak decays in nonlocal chiral quark models

D. Gomez Dumm, S. Noguera, N. N. Scoccola

摘要:

本文在包含波函数重整化的非定域手征夸克模型中分析了π介子辐射衰变pi+ -> e+ nu_e γ。在这个框架中,我们计算了在q^2=0时的矢量和轴矢量形状因子FV和FA--其中q^2是(e+ ν_e)平方不变质量--以及在q^2 -> 0时FV(q^2)的斜率a。计算考虑了不同的非定域形状因子,特别是那些从格点量子色动力学评估,显示出合理的协议与相应的实验数据。并与(局域)NJL模型的结果进行了比较,讨论了π ^0-> γ * γ衰变中FV和α与形状因子的关系.

英文摘要:

We analyze the radiative pion decay pi+ -> e+ nu_e gamma within nonlocal chiral quark models that include wave function renormalization. In this framework we calculate the vector and axial-vector form factors FV and FA at q^2=0 --where q^2 is the (e+ ν_e) squared invariant mass-- and the slope a of FV(q^2) at q^2 -> 0. The calculations are carried out considering different nonlocal form factors, in particular those taken from lattice QCD evaluations, showing a reasonable agreement with the corresponding experimental data. The comparison of our results with those obtained in the (local) NJL model and the relation of FV and a with the form factor in pi^0 -> gamma* gamma decays are discussed.

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