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The two-nucleon system at next-to-next-to-next-to-leading order

机译:双核子系统处于下一个到下一个到领先的顺序

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We consider the two-nucleon system at next-to-next-to-next-to-leading order ((NLO)-L-3) in chiral effective field theory. The two-nucleon potential at (NLO)-L-3 consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin-breaking and relativistic corrections. We employ spectral function regularization for the multi-pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low-energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four-nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length. The description of nucleon-nucleon scattering and the deuteron observables at (NLO)-L-3 is improved compared to the one at NLO and NNLO. The theoretical uncertainties in observables are estimated based on the variation of the cut-offs in the spectral function representation of the potential and in the regulator utilized in the Lippmann-Schwinger equation. (C) 2004 Elsevier B.V. All rights reserved.
机译:在手性有效场理论中,我们考虑了以双核苷酸系统为准(-NLO-L-3)。 (NLO)-L-3处的两个核子电位由一个,两个和三个π交换和一组具有零,两个和四个导数的接触相互作用组成。另外,必须考虑各种等旋破坏和相对论校正。我们将光谱函数正则化用于多小子交换。在这个框架内,可以看出,三点交换的贡献很小。与π-核子顶点有关的低能常数(LEC)始终来自手性扰动理论中对π-核子散射的研究。通过对奈梅亨分析的np和pp相移以及nn散射长度进行组合拟合,确定了总共26个四核LEC。与NLO和NNLO相比,对(NLO)-L-3处的核子-核子散射和氘核可观察到的描述有所改进。可观察物的理论不确定性是根据电位谱函数表示中的截止值的变化以及Lippmann-Schwinger方程中使用的调节器中的截止值的变化来估计的。 (C)2004 Elsevier B.V.保留所有权利。

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