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arXiv · 1810.09412

Density-dependent NN-interaction from subleading chiral 3N-forces: short-range terms and relativistic corrections

N. Kaiser·V. Niessner
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Abstract

We derive from the subleading contributions to the chiral three-nucleon force (short-range terms and relativistic corrections, published in Phys. Rev. C84, 054001 (2011)) a density-dependent two-nucleon interaction $V_\text{med}$ in isospin-symmetric nuclear matter. The momentum and $k_f$-dependent potentials associated with the isospin operators ($1$ and $ \vecτ_1\!\cdot\!\vecτ_2$) and five independent spin-structures are expressed in terms of loop functions, which are either given in closed analytical form or require at most one numerical integration. Our results for $V_\text{med}$ are most helpful to implement subleading chiral 3N-forces into nuclear many-body calculations.

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N. Kaiser, V. Niessner. 2018-10-22. Density-dependent NN-interaction from subleading chiral 3N-forces: short-range terms and relativistic corrections. https://doi.org/10.1103/physrevc.98.054002

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