Nuclear and neutron matter $G$-matrix calculations with Ch-EFT potential including effects of three-nucleon interaction

Abstract

Energies of symmetric nuclear matter and neutron matter are evaluated in the lowest order Bruekner theory using the Ch-EFT potential including effects of the three-nucleon force (3NF). The 3NF is first reduced to density-dependent nucleon-nucleon (NN) force by folding single-nucleon degrees of freedom in infinite matter. Adding the reduced NN force to the initial NN force and applying a partial-wave expansion, we perform $G$-matrix calculations in pure neutron matter as well as in symmetric nuclear. We obtain the saturation curve which is close to the empirical one. It is explicitly shown that the cutoff-energy dependence of the calculated energies is substantially reduced by including the 3NF. Characters of the 3NF contributions in separate spin and isospin channels are discussed. Calculated energies of the neutron matter are very similar to those used in the literature for considering neutron star properties.

15 pages, 6 figures

References in corpus (15)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• The two-nucleon system at next-to-next-to-next-to-leading order
• Improved nuclear matter calculations from chiral low-momentum interactions
• Chiral three-nucleon forces and neutron matter
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Is nuclear matter perturbative with low-momentum interactions?
• Signatures of three-nucleon interactions in few-nucleon systems
• Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
• Reduced regulator dependence of neutron-matter predictions with chiral interactions
• Properties of the nuclear medium
• Dirac-Brueckner-Hartree-Fock versus chiral effective field theory
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Strength of reduced two-body spin-orbit interaction from chiral three-nucleon force
• ${}^4$He energies and radii by the coupled-cluster method with many-body average potential

Cited by in corpus (43)

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• Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Thermodynamics of isospin-asymmetric nuclear matter from chiral effective field theory
• Nuclear Equation of state for Compact Stars and Supernovae
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei
• Microscopic calculations based on chiral two- and three-nucleon forces for proton- and ${}^4$He-nucleus scattering
• Irregularities in nuclear radii at magic numbers
• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
• Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei
• Single-particle potential of the $\Lambda$ hyperon in nuclear matter with chiral effective field theory NLO interactions including effects of YNN three-baryon interactions
• The equation of state and radial oscillations of neutron stars
• Neutron skin thickness of ${}^{208}$Pb determined from reaction cross section for proton scattering
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• $g$-matrix folding-model approach to reaction cross sections for scattering of Ca isotopes on a C target
• $\Xi$ hyperons in the nuclear medium described by chiral NLO interactions
• Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
• Proton-Nucleus Elastic Scattering: Comparison between Phenomenological and Microscopic Optical Potentials
• Roles of chiral three-nucleon forces in nucleon-nucleus scattering
• Effects of a chiral three-nucleon force on nucleus-nucleus scattering
• Neutron skin thickness of ${}^{208}$Pb, ${}^{116,120,124}$Sn, and ${}^{40}$Ca determined from reaction cross sections of ${}^4$He scattering
• Microscopic coupled-channel calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects
• Non-radial oscillations and gravitational wave emission of hybrid neutron stars
• Neutron-skin values and matter and neutron radii determined from reaction cross sections of proton scattering on ${}^{12}$C, ${}^{40,48}$Ca, ${}^{58}$Ni, ${}^{208}$Pb
• Nuclear saturation in lowest-order Brueckner theory with two- and three-nucleon forces in view of chiral effective field theory
• Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
• Pauli rearrangement potential for a scattering state with the interaction in chiral effective field theory
• Uncovering the mechanism of chiral three-nucleon force in driving spin-orbit splitting
• Self-consistent Green's functions with three-body forces
• Thermal effects on nuclear matter properties
• Probing three-nucleon-force effects via (p,2p) reactions
• Three-Nucleon Forces
• IMSRG-Net: A machine learning-based solver for In-Medium Similarity Renormalization Group
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• Neutron skin of 48Ca deduced from interaction cross section
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
• Can realistic interaction be useful for nuclear mean-field approaches?
• Study of nucleonic matter with a consistent two- and three-body perturbative chiral interaction