Weakly bound neutrons and quadrupole response function in the manybody pair correlation of neutron drip line nuclei
(2006) In Journal of Physics G: Nuclear and Particle Physics 32(8). p.11051119 Abstract
 A simplified model of the HartreeFock Bogoliubov (HFB) equation with surfacetype or volumetype pairing is solved in coordinate space with the correct asymptotic boundary conditions. By using the resulting HFB wavefunctions, the lowenergy 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 HartreeFock Bogoliubov (HFB) equation with surfacetype or volumetype pairing is solved in coordinate space with the correct asymptotic boundary conditions. By using the resulting HFB wavefunctions, the lowenergy 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 HartreeFock (HF) potential. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/398366
 author
 HamamotoKuroda, Ikuko ^{LU} ; Sagawa, H. and Zhou, XianRong
 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
 09543899
 DOI
 10.1088/09543899/32/8/003
 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
 16a5d8fcebed4d9889e1eeb5e579b4b7 (old id 398366)
 date added to LUP
 20160401 16:45:54
 date last changed
 20220128 22:01:17
@article{16a5d8fcebed4d9889e1eeb5e579b4b7, abstract = {{A simplified model of the HartreeFock Bogoliubov (HFB) equation with surfacetype or volumetype pairing is solved in coordinate space with the correct asymptotic boundary conditions. By using the resulting HFB wavefunctions, the lowenergy 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 HartreeFock (HF) potential.}}, author = {{HamamotoKuroda, Ikuko and Sagawa, H. and Zhou, XianRong}}, issn = {{09543899}}, language = {{eng}}, number = {{8}}, pages = {{11051119}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics G: Nuclear and Particle Physics}}, title = {{Weakly bound neutrons and quadrupole response function in the manybody pair correlation of neutron drip line nuclei}}, url = {{http://dx.doi.org/10.1088/09543899/32/8/003}}, doi = {{10.1088/09543899/32/8/003}}, volume = {{32}}, year = {{2006}}, }