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Pair correlation in neutron drip line nuclei

Hamamoto-Kuroda, Ikuko LU and Mottelson, B R (2003) In Physical Review C (Nuclear Physics) 68(3: 034312).
Abstract
The Hartree-Fock-Bogoliubov (HFB) equation in a simplified model is solved in coordinate space with the correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The occupation probability obtained in the HFB approach for lower-l orbits decreases considerably already when the binding energy of the corresponding Hartree-Fock (HF) one-particle level becomes smaller. When the HF one-particle level enters into the continuum, the lower-l orbit soon becomes almost unavailable for the pair correlation of the many-body system. In contrast, the contribution to the pair correlation by high-l orbits which have one-particle resonant levels with narrow width in the HF potential can be... (More)
The Hartree-Fock-Bogoliubov (HFB) equation in a simplified model is solved in coordinate space with the correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The occupation probability obtained in the HFB approach for lower-l orbits decreases considerably already when the binding energy of the corresponding Hartree-Fock (HF) one-particle level becomes smaller. When the HF one-particle level enters into the continuum, the lower-l orbit soon becomes almost unavailable for the pair correlation of the many-body system. In contrast, the contribution to the pair correlation by high-l orbits which have one-particle resonant levels with narrow width in the HF potential can be estimated in the BCS approximation using the one-particle resonant energies, though the associated wave functions in the HFB approach are bound-state wave functions. (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
68
issue
3: 034312
publisher
American Physical Society
external identifiers
  • wos:000186510900027
  • scopus:0345359393
ISSN
0556-2813
DOI
10.1103/PhysRevC.68.034312
language
English
LU publication?
yes
id
86b7184b-9c68-4737-a117-f9fabe00b84d (old id 295926)
date added to LUP
2007-09-03 14:26:06
date last changed
2018-06-17 04:52:51
@article{86b7184b-9c68-4737-a117-f9fabe00b84d,
  abstract     = {The Hartree-Fock-Bogoliubov (HFB) equation in a simplified model is solved in coordinate space with the correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The occupation probability obtained in the HFB approach for lower-l orbits decreases considerably already when the binding energy of the corresponding Hartree-Fock (HF) one-particle level becomes smaller. When the HF one-particle level enters into the continuum, the lower-l orbit soon becomes almost unavailable for the pair correlation of the many-body system. In contrast, the contribution to the pair correlation by high-l orbits which have one-particle resonant levels with narrow width in the HF potential can be estimated in the BCS approximation using the one-particle resonant energies, though the associated wave functions in the HFB approach are bound-state wave functions.},
  articleno    = {034312},
  author       = {Hamamoto-Kuroda, Ikuko and Mottelson, B R},
  issn         = {0556-2813},
  language     = {eng},
  number       = {3: 034312},
  publisher    = {American Physical Society},
  series       = {Physical Review C (Nuclear Physics)},
  title        = {Pair correlation in neutron drip line nuclei},
  url          = {http://dx.doi.org/10.1103/PhysRevC.68.034312},
  volume       = {68},
  year         = {2003},
}