001     889262
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024 7 _ |a 10.1103/PhysRevC.101.055502
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024 7 _ |a 2469-9985
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100 1 _ |a Krebs, Hermann
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245 _ _ |a Box diagram contribution to the axial two-nucleon current
260 _ _ |a Woodbury, NY
|c 2020
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264 _ 1 |3 online
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520 _ _ |a 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, 015501 (2016); Phys. Rev. C 93, 049902(E) (2016); Phys. Rev. C 95, 059901(E) (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 of the box diagram including the relevant intermediate steps in order to facilitate a clarification of this disagreement.
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700 1 _ |a Epelbaum, E.
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700 1 _ |a Meißner, U.-G.
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773 _ _ |a 10.1103/PhysRevC.101.055502
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856 4 _ |y OpenAccess
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999 C 5 |a 10.1016/0370-1573(93)90099-Y
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999 C 5 |a 10.1016/j.aop.2017.01.021
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999 C 5 |a 10.1103/PhysRevC.93.015501
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999 C 5 |a 10.1103/PhysRevC.93.049902
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999 C 5 |a 10.1103/PhysRevC.95.059901
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999 C 5 |a 10.1103/PhysRevC.94.024003
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999 C 5 |a 10.1016/j.aop.2004.09.007
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999 C 5 |a 10.1143/PTP.70.439
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999 C 5 |a 10.1103/PhysRevC.60.034002
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Marc 21