Weakly bound neutrons and quadrupole response function in the many-body pair correlation of neutron drip line nuclei
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/398366
- author
- Hamamoto-Kuroda, Ikuko LU ; Sagawa, H. and Zhou, Xian-Rong
- organization
- publishing date
- 2006
- 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
- 2022-01-28 22:01:17
@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}},
}