Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Pair correlation in deformed neutron-drip-line nuclei: The eigenphase formalism and asymptotic behavior

Hamamoto-Kuroda, Ikuko LU (2006) In Physical Review C (Nuclear Physics) 73(4).
Abstract
The Hartree-Fock-Bogoliubov (HFB) equation for deformed nuclei in a simplified model is solved in coordinate space with correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The eigenphase formalism is applied, when the upper components of HFB radial wave functions are continuum wave functions. Calculated occupation probabilities of various Nilsson orbits in the HFB ground state vary smoothly from the region of the upper components being bound wave functions to that of those being continuum wave functions. It is shown that weakly-bound or resonance-like Omega(pi)=1/2(+) Nilsson orbits contribute little to the occupation probability of the HFB ground state, while the... (More)
The Hartree-Fock-Bogoliubov (HFB) equation for deformed nuclei in a simplified model is solved in coordinate space with correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The eigenphase formalism is applied, when the upper components of HFB radial wave functions are continuum wave functions. Calculated occupation probabilities of various Nilsson orbits in the HFB ground state vary smoothly from the region of the upper components being bound wave functions to that of those being continuum wave functions. It is shown that weakly-bound or resonance-like Omega(pi)=1/2(+) Nilsson orbits contribute little to the occupation probability of the HFB ground state, while the contribution by the orbits with a large value of Omega, of which the smallest possible orbital-angular-momentum is neither 0 nor 1, may be approximately estimated using the BCS formula. (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
73
issue
4
article number
044317
publisher
American Physical Society
external identifiers
  • wos:000237157300029
  • scopus:33646348157
ISSN
0556-2813
DOI
10.1103/PhysRevC.73.044317
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
3d9c9bc6-5317-43fc-bb66-d1284270e423 (old id 410300)
date added to LUP
2016-04-01 15:18:54
date last changed
2020-08-05 03:16:51
@article{3d9c9bc6-5317-43fc-bb66-d1284270e423,
  abstract     = {The Hartree-Fock-Bogoliubov (HFB) equation for deformed nuclei in a simplified model is solved in coordinate space with correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The eigenphase formalism is applied, when the upper components of HFB radial wave functions are continuum wave functions. Calculated occupation probabilities of various Nilsson orbits in the HFB ground state vary smoothly from the region of the upper components being bound wave functions to that of those being continuum wave functions. It is shown that weakly-bound or resonance-like Omega(pi)=1/2(+) Nilsson orbits contribute little to the occupation probability of the HFB ground state, while the contribution by the orbits with a large value of Omega, of which the smallest possible orbital-angular-momentum is neither 0 nor 1, may be approximately estimated using the BCS formula.},
  author       = {Hamamoto-Kuroda, Ikuko},
  issn         = {0556-2813},
  language     = {eng},
  number       = {4},
  publisher    = {American Physical Society},
  series       = {Physical Review C (Nuclear Physics)},
  title        = {Pair correlation in deformed neutron-drip-line nuclei: The eigenphase formalism and asymptotic behavior},
  url          = {http://dx.doi.org/10.1103/PhysRevC.73.044317},
  doi          = {10.1103/PhysRevC.73.044317},
  volume       = {73},
  year         = {2006},
}