Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies

Abstract

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 3N forces. We use the new framework to calculate matrix elements of chiral three-nucleon forces at N2LO and N3LO 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 ${}^3$H. For nonlocal regulators, we find that the sub-leading 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.

10 pages, 4 figures

References in corpus (13)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Three-body forces: From cold atoms to nuclei
• Structure and rotations of the Hoyle state
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• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Neutron matter based on consistently evolved chiral three-nucleon interactions
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Cited by in corpus (22)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Pairing in neutron matter: New uncertainty estimates and three-body forces
• \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• Nuclear properties with semilocal momentum-space regularized chiral interactions beyond N2LO
• The quest for light multineutron systems
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
• Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
• The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
• Three-body forces and Efimov physics in nuclei and atoms
• Effective shell-model interaction for nuclei southeast of ${}^{100}$Sn
• 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
• The nuclear charge radius of ${}^{13}\mathrm{C}$
• Partial-wave expansion of $\Lambda NN$ three-baryon interactions in chiral effective field theory
• Exactness of the normal-ordered two-body truncation of three-nucleon forces
• NuLattice: Ab initio computations of atomic nuclei on lattices
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion