Hartree-Fock-Bogoliubov descriptions of deformed weakly bound nuclei in large coordinate spaces

Abstract

Weakly-bound deformed nuclei have been studied by the Skyrme Hartree-Fock-Bogoliubov (HFB) approach in large coordinate-space boxes. In particular, the box-size dependence of the HFB calculations of weakly-bound deformed nuclei are investigated, including the particle density and pairing density distributions at nuclear surfaces, the near-threshold resonant and continuum quasiparticle spectra, and energetic properties. The box size may have larger influences in pairing properties than in other bulk properties. We demonstrate that large-box calculations of weakly-bound nuclei are important to precisely describe exotic phenomena such as deformed halos and peninsulas of stability beyond drip lines.

Investigation of the properties of nuclei with extreme neutron excess in the vicinity of neutron magic numbers

“…In our DHF and SHF calculations, we considered BCS approximation pairing with the constant [28], where the plus sign corresponds to protons and the minus sign corre sponds to neutrons. In our DHF calculations, such pairing was considered only in the space of bound sin gle particle states due to the difficulties [29] that arise in solving HF equations with methods in which the HF wave function is expanded in a series in the wave functions of an axially deformed harmonic oscillator. Despite this simplification in our consideration of pairing, our results [12][13][14][15] were in very good agree ment up to the NDL with calculations by the HFB method [2,3].…”

Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method

“…Thus, one can obtain numerically accurate results for weakly bound nuclei and large deformations [23,24]. A number of coordinatespace HFB solvers have been published over the years [19,[25][26][27][28][29][30], but solving the HFB equations in full threedimensional (3D) coordinate space is still a challenging problem because of the large dimension of the HFB matrix discretized in a large box. To put this in perspective consider calculations in medium size volume 32 × 32 × 48 fm 3 with lattice resolution dx = 1 fm corresponding to p cut = π/dx ≈ 600 MeV/c.…”

Deformation effect on nuclear density profile and radius enhancement in light- and medium-mass neutron-rich nuclei

“…For neutron-rich unstable nuclei, many examples that deviate from this rule have been observed because of exotic structure properties, e.g., halo structure [10][11][12] and nuclear deformation [13,14]. As it gets closer to the neutron dripline, emergence of deformed halo structure was predicted in Ne and Mg isotopes [15][16][17][18][19][20] and was actually observed for 31 Ne [21].…”