Bonn 2020 – wissenschaftliches Programm

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HK: Fachverband Physik der Hadronen und Kerne

HK 46: Structure and Dynamics of Nuclei IX

HK 46.3: Vortrag

Donnerstag, 2. April 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 , i12)·(q×p ), σ1· p  σ2·p1· 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 r0π/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).

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