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Weakly bound s(1/2) neutrons in the many-body pair correlation of neutron drip line nuclei

Hamamoto-Kuroda, Ikuko LU and Mottelson, BR (2004) In Physical Review C (Nuclear Physics) 69(6).
Abstract
With a simplified model in the Hartree-Fock-Bogoliubov (HFB) approximation, the behavior of weakly bound s(1/2) neutrons in the many-body pair correlation is studied by solving the HFB equation in coordinate space with the correct asymptotic boundary conditions. It is shown that in one-neutron pickup reactions on the even-even neutron-drip-line nuclei, which contain loosely bound s(1/2) neutrons, the strength of the s(1/2) neutron can appear both at a discrete state and in the low-energy continuum spectra, with comparable strength. When there is no weakly bound discrete state, the continuum spectra may exhibit a sharp peak just above E-x=lambda, which originates from the resonantlike behavior of the upper component of the HFB radial wave... (More)
With a simplified model in the Hartree-Fock-Bogoliubov (HFB) approximation, the behavior of weakly bound s(1/2) neutrons in the many-body pair correlation is studied by solving the HFB equation in coordinate space with the correct asymptotic boundary conditions. It is shown that in one-neutron pickup reactions on the even-even neutron-drip-line nuclei, which contain loosely bound s(1/2) neutrons, the strength of the s(1/2) neutron can appear both at a discrete state and in the low-energy continuum spectra, with comparable strength. When there is no weakly bound discrete state, the continuum spectra may exhibit a sharp peak just above E-x=lambda, which originates from the resonantlike behavior of the upper component of the HFB radial wave function, u(s1/2)(E-qp,r). This resonantlike behavior may be directly observed as an s-wave resonance close to E-x=/lambda in neutron-scattering experiments on those nuclei. It is also shown that a very large root-mean-square radius of loosely bound s(1/2) neutrons may appear also in the presence of many-body pair correlation, since the effective pair gap in weakly bound neutron orbits with low l values is much reduced. (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
69
issue
6
publisher
American Physical Society
external identifiers
  • wos:000222391000010
  • scopus:4043164908
ISSN
0556-2813
DOI
10.1103/PhysRevC.69.064302
language
English
LU publication?
yes
id
ffe0622f-b7f8-4b36-92fe-a523f3a9e6f9 (old id 273391)
date added to LUP
2007-10-29 10:56:00
date last changed
2017-01-01 06:54:58
@article{ffe0622f-b7f8-4b36-92fe-a523f3a9e6f9,
  abstract     = {With a simplified model in the Hartree-Fock-Bogoliubov (HFB) approximation, the behavior of weakly bound s(1/2) neutrons in the many-body pair correlation is studied by solving the HFB equation in coordinate space with the correct asymptotic boundary conditions. It is shown that in one-neutron pickup reactions on the even-even neutron-drip-line nuclei, which contain loosely bound s(1/2) neutrons, the strength of the s(1/2) neutron can appear both at a discrete state and in the low-energy continuum spectra, with comparable strength. When there is no weakly bound discrete state, the continuum spectra may exhibit a sharp peak just above E-x=lambda, which originates from the resonantlike behavior of the upper component of the HFB radial wave function, u(s1/2)(E-qp,r). This resonantlike behavior may be directly observed as an s-wave resonance close to E-x=/lambda in neutron-scattering experiments on those nuclei. It is also shown that a very large root-mean-square radius of loosely bound s(1/2) neutrons may appear also in the presence of many-body pair correlation, since the effective pair gap in weakly bound neutron orbits with low l values is much reduced.},
  articleno    = {064302},
  author       = {Hamamoto-Kuroda, Ikuko and Mottelson, BR},
  issn         = {0556-2813},
  language     = {eng},
  number       = {6},
  publisher    = {American Physical Society},
  series       = {Physical Review C (Nuclear Physics)},
  title        = {Weakly bound s(1/2) neutrons in the many-body pair correlation of neutron drip line nuclei},
  url          = {http://dx.doi.org/10.1103/PhysRevC.69.064302},
  volume       = {69},
  year         = {2004},
}