Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces

2009/10/07 by J. W. Holt, Jeremy W. Holt, Norbert Kaiser +2 · 10 citations
Physics and Astronomy · #Nuclear physics research studies #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.81.024002

published as Phys.Rev.C81:024002,2010 · 25 pages, 15 figures

arxiv created 2009/10/07 · openalex publication_date 2010/02/05 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon scattering T matrix. Analytic expressions are presented for each of these in both isospin-symmetric nuclear matter and nuclear matter with a small isospin asymmetry. The results are combined with the low-momentum nucleon-nucleon potential V_{low k} to obtain an effective density-dependent interaction suitable for nuclear structure calculations. The in-medium interaction is decomposed into partial waves up to orbital angular momentum L=2. Our results should be particularly useful in calculations where an exact treatment of the chiral three-nucleon force would otherwise be computationally prohibitive.

Citations

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Structure ofA=10–13Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory

Cited by

• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• Chiral nucleon-nucleon forces in nuclear structure calculations
• Elastic proton scattering of medium mass nuclei from coupled-cluster theory
• Proton pairing in neutron stars from chiral effective field theory
• Neutron matter from chiral two- and three-nucleon calculations up to N3LO
• Short-range correlations in isospin symmetric and asymmetric nuclear matter: A microscopic perspective
• BCS-BEC Crossover Effects and Pseudogap in Neutron Matter
• Roles of chiral three-nucleon forces in nucleon–nucleus scattering
• The Equation of State of Neutron-Rich Matter at Fourth Order of Chiral Effective Field Theory and the Radius of a Medium-Mass Neutron Star
• Improved nuclear matter calculations from chiral low-momentum interactions

Related

• Density-Dependent Neutron-Neutron Interaction from Subleading Chiral Three-Neutron Forces
• Exploring medium mass nuclei using effective chiral nucleon-nucleon interactions
• Nuclear matter from chiral low-momentum interactions
• Improved nuclear matter calculations from chiral low-momentum interactions
• Effective Field Theory at Moderate Nuclear Density