This title appears in the Scientific Report :
2020
Please use the identifier:
http://hdl.handle.net/2128/26739 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevC.101.055502 in citations.
Box diagram contribution to the axial two-nucleon current
Box diagram contribution to the axial two-nucleon current
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....
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Personal Name(s): | Krebs, Hermann (Corresponding author) |
---|---|
Epelbaum, E. / Meißner, U.-G. | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 Theorie der starken Wechselwirkung; IKP-3 |
Published in: | Physical Review C Physical review / C, 101 101 (2020 2020) 5 5, S. 055502 055502 |
Imprint: |
Woodbury, NY
Inst.
2020
2020-05-04 2020-05-01 |
DOI: |
10.1103/PhysRevC.101.055502 |
Document Type: |
Journal Article |
Research Program: |
TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik Computational Science and Mathematical Methods |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevC.101.055502 in citations.
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. |