Application of Gaussian expansion method to nuclear mean-field calculations with deformation

Abstract

We extensively develop a method of implementing mean-field calculations for deformed nuclei, using the Gaussian expansion method (GEM). This GEM algorithm has the following advantages: (i) it can efficiently describe the energy-dependent asymptotics of the wave functions at large $r$, (ii) it is applicable to various effective interactions including those with finite ranges, and (iii) the basis parameters are insensitive to nuclide, thereby many nuclei in wide mass range can be handled by a single set of bases. Superposing the spherical GEM bases with feasible truncation for the orbital angular momentum of the single-particle bases, we obtain deformed single-particle wave-functions to reasonable precision. We apply the new algorithm to the Hartree-Fock and the Hartree-Fock-Bogolyubov calculations of Mg nuclei with the Gogny interaction, by which neck structure of a deformed neutron halo is suggested for ${}^{40}$Mg.

17 pages, 4 eps figures

References in corpus (8)

• Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing
• Deformation of Nuclei Close to the Two-Neutron Drip Line in Mg Region
• Hartree-Fock approach to nuclear matter and finite nuclei with M3Y-type nucleon-nucleon interactions
• Angular momentum projected analysis of Quadrupole Collectivity in \protect(^{30,32,34}Mg\protect) and \protect(^{32,34,36,38}Si\protect) with the Gogny interaction
• Deformed nuclear halos
• Pairing effects on the collectivity of quadrupole states around 32Mg
• A method of implementing Hartree-Fock calculations with zero- and finite-range interactions
• Hartree-Fock-Bogolyubov calculations with Gaussian expansion method

Cited by in corpus (24)

• Neutron halo in deformed nuclei
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Ground-state properties of neutron-rich Mg isotopes
• Mean-field approach to nuclear structure with semi-realistic nucleon-nucleon interactions
• Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or $N=20$ magic number
• Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties
• Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method
• 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
• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions
• Shell structure in neutron-rich Ca and Ni nuclei under semi-realistic mean fields
• Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
• Modified parameter-sets of M3Y-type semi-realistic nucleon-nucleon interaction for nuclear structure studies
• Shape evolution of Zr nuclei and roles of tensor force
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• RPA calculations with Gaussian expansion method
• Coulombic effect and renormalization in nuclear pairing
• Neutron halo in deformed nuclei from a relativistic Hartree-Bogoliubov model in a Woods-Saxon basis
• Coordinate-Space Hartree-Fock-Bogoliubov Description of Superfluid Fermi Systems
• Analysis of Peierls-Yoccoz rotational energy of nuclei with semi-realistic interaction
• Can realistic interaction be useful for nuclear mean-field approaches?
• Pairing effects on pure rotational energy of nuclei