Nuclear Electromagnetic Currents to Fourth Order in Chiral Effective Field Theory

Few-Body Systems - Tập 60 - Trang 1-13 - 2019
H. Krebs1, E. Epelbaum1, U.-G. Meißner2,3,4
1Fakultät für Physik und Astronomie, Institut für Theoretische Physik II, Ruhr-Universität Bochum, Bochum, Germany
2Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, Germany
3Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, Jülich, Germany
4Tbilisi State University, Tbilisi, Georgia

Tóm tắt

Recently, we have shown that the continuity equation for the nuclear vector and axial current operators acquires additional terms if the latter depend on the energy transfer. We analyze in detail the electromagnetic single-nucleon four-current operators and verify the validity of the modified continuity equation for all one- and two-nucleon contributions up to fourth order in the chiral expansion. We also derive, for the first time, the leading contribution to the three-nucleon charge operator which appears at this order. Our study completes the derivation of the electroweak nuclear currents to fourth order in the chiral expansion.

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