Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties

Abstract

New parameter-sets of the semi-realistic nucleon-nucleon interaction are developed, by modifying the M3Y interaction but maintaining the tensor channels and the longest-range central channels. The modification is made so as to reproduce microscopic results of neutron-matter energies, in addition to the measured binding energies of doubly magic nuclei including ${}^{100}$Sn and the even-odd mass differences of the Z=50 and N=82 nuclei in the self-consistent mean-field calculations. Separation energies of the proton- or neutron-magic nuclei are shown to be in fair agreement with the experimental data. With the new parameter-sets M3Y-P6 and P7, the isotropic spin-saturated symmetric nuclear matter remains stable in the density range as wide as $\rho \lesssim 6{\rho }_0$, while keeping desirable results of the previous parameter-set on finite nuclei. Isotope shifts of the Pb nuclei and tensor-force effects on shell structure are discussed.

18 pages including 7 figures

References in corpus (13)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Complete electric dipole response and the neutron skin in 208Pb
• Nuclear energy density optimization: Large deformations
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Evolution of shell structure in neutron-rich calcium isotopes
• Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of 12-C and 16-O
• Microscopic justification of the Equal Filling approximation
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Systematics of the first 2+ excitation with the Gogny interaction
• Equation of state of the neutron star matter, and the nuclear symmetry energy
• Application of Gaussian expansion method to nuclear mean-field calculations with deformation
• Coulombic effect and renormalization in nuclear pairing

Cited by in corpus (26)

• Time-dependent density-functional description of nuclear dynamics
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms
• Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or $N=20$ magic number
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei
• Irregularities in nuclear radii at magic numbers
• Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei
• Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Shape evolution of Zr nuclei and roles of tensor force
• Mean-field study of hot beta-stable protoneutron star matter: Impact of the symmetry energy and nucleon effective mass
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Two-body contributions to the effective mass in nuclear effective interactions
• Constraining slope parameter of symmetry energy from nuclear structure
• Crossover from skin-mode to proton-neutron-mode in $E1$ excitations of neutron-rich nuclei
• Neutron star crustal properties from relativistic mean-field models and bulk parameters effects
• Self-consistent single-nucleon potential at positive energy produced by semi-realistic interaction and its examination via nucleon-nucleus elastic scattering
• Significance of tensor force in pseudo-spin symmetry
• Analysis of critical parameters for nonrelativistic models in symmetric nuclear matter
• Analysis of Peierls-Yoccoz rotational energy of nuclei with semi-realistic interaction
• A Study of Multi$\Lambda$ hypernuclei within Spherical Relativistic Mean-field Approach
• Can realistic interaction be useful for nuclear mean-field approaches?
• Pairing effects on pure rotational energy of nuclei
• Assessment of effect of local approximation on single folding potential at low and intermediate incident energies