[Submitted on 7 Mar 2019]
Density-dependent NN-interaction from subleading chiral 3N-forces: Long-range terms
We derive from the subleading contributions to the chiral three-nucleon force (long-range terms, published in Phys.\,Rev.\,C\,77, 064004 (2008)) a density-dependent two-nucleon interaction in isospin-symmetric, spin-saturated nuclear matter. Following the division of the pertinent 3N-diagrams into two-pion exchange topology, two-pion-one-pion exchange topology and ring topology, we evaluate for these all self-closings and concatenations of nucleon-lines to an in-medium loop. The momentum and -dependent potentials associated with the isospin operators ( and ) and five independent spin-structures are expressed in terms of functions, which are either given in closed analytical form or require at most one numerical integration. In the same way we treat the -exchange 3N-force up to fourth order. Our results for are most helpful to implement the long-range subleading chiral 3N-forces into nuclear many-body calculations.
- Comments:
- 19 pages, 1 figure, 1 table, typo in eq.(82) corrected
- Subjects:
- Nuclear Theory (nucl-th)
- arXiv:
- 1903.03183 [pdf]