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arXiv 1003.3426hep-phnucl-th
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基于手征拉格朗日量的酉因果有效场论中的光子-和π-核子相互作用

Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian

A. Gasparyan, M. F. M. Lutz

摘要:

我们提出并应用了一个新的方案来研究光子和π介子-核子散射超过阈值区域。分波振幅的$γ\, N$和$πN$状态的手征微扰理论计算的亚阈值反应振幅的分析外推,其中的电磁规范不变性,因果关系和幺正性的约束设置用于稳定的外推。基于手征拉格朗日,我们恢复的经验s-和p-波振幅的能量$\sqrt{s}\simeq 1300$ MeV的相关参数在顺序$Q^3$。

英文摘要:

We present and apply a novel scheme for studying photon- and pion-nucleon scattering beyond the threshold region. Partial-wave amplitudes for the $γ\, N$ and $πN$ states are obtained by an analytic extrapolation of subthreshold reaction amplitudes computed in chiral perturbation theory, where the constraints set by electromagnetic-gauge invariance, causality and unitarity are used to stabilize the extrapolation. Based on the chiral Lagrangian we recover the empirical s- and p-wave amplitudes up to energies $\sqrt{s}\simeq 1300$ MeV in terms of the parameters relevant at order $Q^3$.

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