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Weakly bound neutrons and quadrupole response function in the many-body pair correlation of neutron drip line nuclei

Hamamoto-Kuroda, Ikuko LU ; Sagawa, H. and Zhou, Xian-Rong (2006) In Journal of Physics G: Nuclear and Particle Physics 32(8). p.1105-1119
Abstract
A simplified model of the Hartree-Fock Bogoliubov (HFB) equation with surface-type or volume-type pairing is solved in coordinate space with the correct asymptotic boundary conditions. By using the resulting HFB wavefunctions, the low-energy quadrupole (L = 2) response function is studied for the system with weakly bound s and d neutrons. As the binding energy of the neutrons becomes small or approaches zero, the discrete solutions of the HFB equation disappear. Then, without any further correlation ( for example, random phase approximation ( RPA) correlation), the threshold quadrupole response becomes broader and moves toward very low excitation energies, while the total strength increases very rapidly. The important role of the continuum... (More)
A simplified model of the Hartree-Fock Bogoliubov (HFB) equation with surface-type or volume-type pairing is solved in coordinate space with the correct asymptotic boundary conditions. By using the resulting HFB wavefunctions, the low-energy quadrupole (L = 2) response function is studied for the system with weakly bound s and d neutrons. As the binding energy of the neutrons becomes small or approaches zero, the discrete solutions of the HFB equation disappear. Then, without any further correlation ( for example, random phase approximation ( RPA) correlation), the threshold quadrupole response becomes broader and moves toward very low excitation energies, while the total strength increases very rapidly. The important role of the continuum character of the upper component u(lj) (r) of the HFB s(1/2) wavefunction in the increasing strength is pointed out. The large and broad quadrupole response with a very low peak energy is expected for neutron drip line nuclei with N approximate to 56 and Z approximate to 28, of which both the neutron 2d(5/2) and 3s(1/2) orbits may be weakly bound in the Hartree-Fock (HF) potential. (Less)
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type
Contribution to journal
publication status
published
subject
in
Journal of Physics G: Nuclear and Particle Physics
volume
32
issue
8
pages
1105 - 1119
publisher
IOP Publishing
external identifiers
  • wos:000239670500006
  • scopus:33746394319
ISSN
0954-3899
DOI
10.1088/0954-3899/32/8/003
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
16a5d8fc-ebed-4d98-89e1-eeb5e579b4b7 (old id 398366)
date added to LUP
2016-04-01 16:45:54
date last changed
2020-01-12 19:42:56
@article{16a5d8fc-ebed-4d98-89e1-eeb5e579b4b7,
  abstract     = {A simplified model of the Hartree-Fock Bogoliubov (HFB) equation with surface-type or volume-type pairing is solved in coordinate space with the correct asymptotic boundary conditions. By using the resulting HFB wavefunctions, the low-energy quadrupole (L = 2) response function is studied for the system with weakly bound s and d neutrons. As the binding energy of the neutrons becomes small or approaches zero, the discrete solutions of the HFB equation disappear. Then, without any further correlation ( for example, random phase approximation ( RPA) correlation), the threshold quadrupole response becomes broader and moves toward very low excitation energies, while the total strength increases very rapidly. The important role of the continuum character of the upper component u(lj) (r) of the HFB s(1/2) wavefunction in the increasing strength is pointed out. The large and broad quadrupole response with a very low peak energy is expected for neutron drip line nuclei with N approximate to 56 and Z approximate to 28, of which both the neutron 2d(5/2) and 3s(1/2) orbits may be weakly bound in the Hartree-Fock (HF) potential.},
  author       = {Hamamoto-Kuroda, Ikuko and Sagawa, H. and Zhou, Xian-Rong},
  issn         = {0954-3899},
  language     = {eng},
  number       = {8},
  pages        = {1105--1119},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics G: Nuclear and Particle Physics},
  title        = {Weakly bound neutrons and quadrupole response function in the many-body pair correlation of neutron drip line nuclei},
  url          = {http://dx.doi.org/10.1088/0954-3899/32/8/003},
  doi          = {10.1088/0954-3899/32/8/003},
  volume       = {32},
  year         = {2006},
}