Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO

Abstract

Neutron matter is an ideal laboratory for nuclear interactions derived from chiral effective field theory since all contributions are predicted up to next-to-next-to-next-to-leading order (N${}^3$LO) in the chiral expansion. By making use of recent advances in the partial-wave decomposition of three- nucleon (3N) forces, we include for the first time N${}^3$LO 3N interactions in many-body perturbation theory (MBPT) up to third order and in self-consistent Green's function theory (SCGF). Using these two complementary many-body frameworks we provide improved predictions for the equation of state of neutron matter at zero temperature and also analyze systematically the many-body convergence for different chiral EFT interactions. Furthermore, we present an extension of the normal-ordering framework to finite temperatures. These developments open the way to improved calculations of neutron-rich matter including estimates of theoretical uncertainties for astrophysical applications.

minor changes, published version

References in corpus (18)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Constraints on neutron star radii based on chiral effective field theory interactions
• Three-body forces: From cold atoms to nuclei
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Momentum space evolution of chiral three-nucleon forces
• Hot neutron matter from a Self-Consistent Green's Functions approach
• Ab initio effective interactions for sd-shell valence nucleons
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Thermodynamic properties of nuclear matter with three-body forces
• Neutron matter based on consistently evolved chiral three-nucleon interactions

Cited by in corpus (6)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Historical perspective and future prospects for nuclear interactions
• Estimates and power counting in uniform matter with softened interactions
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory