Advanced

Effective pair-gap of weakly-bound neutrons in deformed nuclei

Hamamoto-Kuroda, Ikuko LU (2005) In Physical Review C (Nuclear Physics) 71(3).
Abstract
The dependence of effective pair gap on weakly bound neutron orbits is studied in deformed nuclei in comparison with that in spherical nuclei, solving the Hartree-Fock-Bogoliubov equation in a simplified model in coordinate space with the correct asymptotic boundary conditions. In spherical nuclei the effective pair gap of s1/2 neutrons decreases to zero in the limit that the corresponding Hartree-Fock one-particle energy approaches zero. In the same limit, the effective pair gap of =1/2+ neutrons in deformed nuclei becomes very small when the wave functions of =1/2+ orbits contain an appreciable amount of s1/2 components, even if a considerable amount of larger-components remains in the wave functions. Then, the one-particle excitation... (More)
The dependence of effective pair gap on weakly bound neutron orbits is studied in deformed nuclei in comparison with that in spherical nuclei, solving the Hartree-Fock-Bogoliubov equation in a simplified model in coordinate space with the correct asymptotic boundary conditions. In spherical nuclei the effective pair gap of s1/2 neutrons decreases to zero in the limit that the corresponding Hartree-Fock one-particle energy approaches zero. In the same limit, the effective pair gap of =1/2+ neutrons in deformed nuclei becomes very small when the wave functions of =1/2+ orbits contain an appreciable amount of s1/2 components, even if a considerable amount of larger-components remains in the wave functions. Then, the one-particle excitation spectra of deformed even-even neutron-drip-line nuclei, in which an =1/2+ level is weakly bound, can start at much lower energy than twice the average pair gap in the presence of many-body pair correlation. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review C (Nuclear Physics)
volume
71
issue
3
publisher
American Physical Society
external identifiers
  • wos:000228643500056
  • scopus:18244387955
ISSN
0556-2813
DOI
10.1103/PhysRevC.71.037302
language
English
LU publication?
yes
id
0fbe6813-a2aa-4774-a155-4f1d1dc211a8 (old id 702203)
date added to LUP
2008-01-07 21:36:49
date last changed
2017-01-01 06:41:12
@article{0fbe6813-a2aa-4774-a155-4f1d1dc211a8,
  abstract     = {The dependence of effective pair gap on weakly bound neutron orbits is studied in deformed nuclei in comparison with that in spherical nuclei, solving the Hartree-Fock-Bogoliubov equation in a simplified model in coordinate space with the correct asymptotic boundary conditions. In spherical nuclei the effective pair gap of s1/2 neutrons decreases to zero in the limit that the corresponding Hartree-Fock one-particle energy approaches zero. In the same limit, the effective pair gap of =1/2+ neutrons in deformed nuclei becomes very small when the wave functions of =1/2+ orbits contain an appreciable amount of s1/2 components, even if a considerable amount of larger-components remains in the wave functions. Then, the one-particle excitation spectra of deformed even-even neutron-drip-line nuclei, in which an =1/2+ level is weakly bound, can start at much lower energy than twice the average pair gap in the presence of many-body pair correlation.},
  author       = {Hamamoto-Kuroda, Ikuko},
  issn         = {0556-2813},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society},
  series       = {Physical Review C (Nuclear Physics)},
  title        = {Effective pair-gap of weakly-bound neutrons in deformed nuclei},
  url          = {http://dx.doi.org/10.1103/PhysRevC.71.037302},
  volume       = {71},
  year         = {2005},
}