Bonn 2020 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 46: Structure and Dynamics of Nuclei IX
HK 46.3: Talk
Thursday, April 2, 2020, 14:45–15:00, J-HS H
Density-dependent NN-interaction from subleading chiral three-nucleon forces — •Norbert Kaiser — Physik Department, Technische Universität München
From the sub- and subsubleading contributions to the chiral 3N-force a density-dependent two-nucleon interaction Vmed in isospin-symmetric nuclear matter is derived. Vmed is calculated from the on-shell scattering process N1(p→ )+ N2(−p→ ) → N1(p→ ′)+N2(−p→ ′) in the nuclear matter rest frame. The momentum and kf-dependent potentials associated with the isospin operators 1, τ1→·τ2→ and five spin-structures 1 , σ1→·σ2→ ,σ1→·q→ σ2→· q→ , i(σ1→+σ2→)·(q→×p→ ), σ1→· p→ σ2→·p→ +σ1→· p→ ′ σ2→·p→ ′ are expressed in terms of functions, which are either given in closed analytical form or require at most one (or two) numerical integration. For the (most challenging) 3N-ring diagrams proportional to c1,2,3,4, one gets at two-loop order regularized double-integrals ∫0λdr r ∫0π/2 dψ from which the λ2-divergence has been subtracted and the logarithmic piece ∼ ln(mπ/λ) is isolated. After partial wave decomposition these results are most helpful to implement the sub- and subsubleading chiral three-nucleon forces into nuclear many-body calculations.
Work supported in part by DFG and NSFC (CRC110).