2015/02/10 by K. Hebeler, H. Krebs, E. Epelbaum +3 · 7 citations
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Benchmark (surveying) #Geometry #Mathematical physics #Mathematics #Matrix (chemical analysis) #Momentum (technical analysis) #Nuclear matter #Nuclear physics research studies #Nucleon #Particle physics #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #nucl-th
paper · pdf · doi:10.1103/physrevc.91.044001
published as Phys. Rev. C 91, 044001 (2015) · 10 pages, 4 figures
arxiv created 2015/02/10 · openalex publication_date 2015/04/15 · arxiv updated 2015/04/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a novel framework to decompose three-nucleon forces in a momentum-space partial-wave basis. The new approach is computationally much more efficient than previous methods and opens the way to ab initio studies of few-nucleon scattering processes, nuclei, and nuclear matter based on higher-order chiral three-nucleon forces. We use the new framework to calculate matrix elements of chiral three-nucleon forces at next-to-next-to-leading-order and next-to-next-to-next-to-leading-order in large basis spaces and carry out benchmark calculations for neutron matter and symmetric nuclear matter. We also study the size of the individual three-nucleon-force contributions for 3H. For nonlocal regulators, we find that the subleading terms, which have been neglected in most calculations so far, provide important contributions. All matrix elements are calculated and stored in a user-friendly way, such that values of low-energy constants as well as the form of regulator functions can be chosen freely.