Nuclear saturation in lowest-order Brueckner theory with two- and three-nucleon forces in view of chiral effective field theory

Abstract

The nuclear saturation mechanism is discussed in terms of two-nucleon and three-nucleon interactions in chiral effective field theory (Ch-EFT), using the framework of lowest-order Brueckner theory. After the Coester band, which is observed in calculating saturation points with various nucleon-nucleon (NN) forces, is revisited using modern NN potentials and their low-momentum equivalent interactions, detailed account of the saturation curve of the Ch-EFT interaction is presented. The three-nucleon force (3NF) is treated by reducing it to an effective two-body interaction by folding the third nucleon degrees of freedom. Uncertainties due to the choice of the 3NF low-energy constants $c_D$ and $c_E$ are discussed. The reduction of the cutoff-energy dependence of the NN potential is explained by demonstrating the effect of the 3NF in the ${}^1$S${}_0$ and ${}^3$S${}_1$ states.

arXiv comment14 pages, 11 figures

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Cited by in corpus (5)

• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Microscopic coupled-channel calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations