scholarly journals Pair correlation of giant halo nuclei in continuum Skyrme-Hartree-Fock-Bogoliubov theory

2012 ◽  
Vol 86 (5) ◽  
Author(s):  
Y. Zhang ◽  
M. Matsuo ◽  
J. Meng
Keyword(s):  
Pair Correlation ◽  
Halo Nuclei ◽  
Hartree Fock ◽  
Bogoliubov Theory

scholarly journals Proximity effect of pair correlation in the inner crust of neutron stars

2020 ◽  
Author(s):  
Toshiyuki Okihashi ◽  
Masayuki Matsuo
Keyword(s):  
Neutron Stars ◽  
Proximity Effect ◽  
Pair Correlation ◽  
Baryon Density ◽  
Coordinate Space ◽  
Hartree Fock ◽  
Bogoliubov Theory ◽  
Seitz Cell ◽  
Deep Layers ◽  
Nuclear Cluster

Abstract We study proximity effect of pair correlation in the inner crust of neutron stars by means of the Skyrme-Hartree-Fock-Bogoliubov theory formulated in the coordinate space. We describe a system composed of a nuclear cluster immersed in neutron superuid, which is confined in a spherical box. Using a density-dependent effective pairing interaction which reproduces both the pair gap of neutron matter obtained in ab initio calculations and that of finite nuclei, we analyze how the pair condensate in neutron superuid is affected by the presence of the nuclear cluster. It is found that the proximity effect is characterized by the coherence length of neutron superuid measured from the edge position of the nuclear cluster. The calculation predicts that the proximity effect has a strong density dependence. In the middle layers of the inner crust with baryon density 5 × 10-4 fm-3 ≲ ρb ≲ 2 × 10-2 fm-3, the proximity effect is well limited in the vicinity of the nuclear cluster, i.e. in a sufficiently smaller area than the Wigner-Seitz cell. On the contrary, the proximity effect is predicted to extend to the whole volume of the Wigner-Seitz cell in shallow layers of the inner crust with ρb ≲ 2 × 10-4 fm-3, and in deep layers with ρb ≲ 5 × 10-2 fm-3.

AN INVESTIGATION ON SHAPE EVOLUTION OF Ti ISOTOPES WITH HARTREE–FOCK–BOGOLIUBOV THEORY

2012 ◽  
Vol 27 (28) ◽  
pp. 1250162 ◽  
Author(s):  
TUNCAY BAYRAM
Keyword(s):  
Potential Energy ◽  
Single Particle ◽  
Potential Energy Curves ◽  
Shape Evolution ◽  
Shape Transition ◽  
Hartree Fock ◽  
Bogoliubov Theory ◽  
Unstable Nuclei

Constrained Hartree–Fock–Bogoliubov theory with SLy4 and SLy5 Skyrme forces is used to investigate the shape transition between spherical and γ-unstable nuclei in 38–66 Ti . By examining potential energy curves and neutron single-particle levels of even–even Ti isotopes, 46,52,60 Ti are suggested as possible candidates of the nuclei with E(5) symmetry.

scholarly journals Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
L. M. Robledo ◽  
R. Bernard ◽  
G. F. Bertsch
Keyword(s):  
Hartree Fock ◽  
Bogoliubov Theory
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