论文标题

盒子图对轴向两核子电流的贡献

Box diagram contribution to the axial two-nucleon current

论文作者

Krebs, Hermann, Epelbaum, Evgeny, Meißner, Ulf-G.

论文摘要

最近,我们使用单一转化方法来确定了轴向两核电电流运算符在手性有效场理论中领导一环秩序。 Our final expressions, however, differ from the ones derived by the JLab-Pisa group using time-ordered perturbation theory (Phys. Rev. C 93, no. 1, 015501 (2016) Erratum: [Phys. Rev. C 93, no. 4, 049902 (2016)] Erratum: [Phys. Rev. C 95, no. 5, 059901 (2017)]).在本文中,我们考虑了对轴向电流的框图贡献,并证明使用两种方法获得的结果在Fock空间水平上是单一等效的。我们通过匹配相应的两杆交换核子核子电位,并在JLAB-PISA组接近轴向电流操作员对轴图的贡献来调整统一相,从而重新启动我们的原始结果。我们提供有关计算的详细信息,包括相关的中间步骤,以促进对这种分歧的澄清。

Recently, we have worked out the axial two-nucleon current operator to leading one-loop order in chiral effective field theory using the method of unitary transformation. Our final expressions, however, differ from the ones derived by the JLab-Pisa group using time-ordered perturbation theory (Phys. Rev. C 93, no. 1, 015501 (2016) Erratum: [Phys. Rev. C 93, no. 4, 049902 (2016)] Erratum: [Phys. Rev. C 95, no. 5, 059901 (2017)]). In this paper we consider the box diagram contribution to the axial current and demonstrate that the results obtained using the two methods are unitary equivalent at the Fock-space level. We adjust the unitary phases by matching the corresponding two-pion exchange nucleon-nucleon potentials and rederive the box diagram contribution to the axial current operator following the approach of the JLab-Pisa group, thereby reproducing our original result. We provide a detailed information on the calculation including the relevant intermediate steps in order to facilitate a clarification of this disagreement.

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