2020/10/05 by Kaiser, N.
#FOS: Physical sciences #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2010.02739
The long-range terms of the subleading chiral three-nucleon force [published in Phys. Rev. C77, 064004 (2008)] are specified to the case of three neutrons. From these 3n-interactions an effective density-dependent neutron-neutron potential Vmed in pure neutron matter is derived. Following the division of the pertinent 3n-diagrams into two-pion exchange, two-pion-one-pion exchange and ring topology, all self-closings and concatenations of two neutron-lines to an in-medium loop are evaluated. The momentum and kn-dependent potentials associated with the spin-operators 1, σ1 ⋅ σ2, σ1 ⋅ q σ2 ⋅ q, i( σ1 + σ2) ⋅ ( q × p ), (σ1 ⋅ p σ2 ⋅ p+σ1 ⋅ p ' σ2 ⋅ p ') and σ1 ⋅ ( q × p )σ2 ⋅ ( q × p ) are expressed in terms of functions, which are either given in closed analytical form or require at most one numerical integration. The subsubleading chiral 3N-force is treated in the same way. The obtained results for Vmed are helpful to implement the long-range chiral three-body forces into advanced neutron matter calculations.