Weakly bound s(1/2) neutrons in the many-body pair correlation of neutron drip line nuclei
(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:
https://lup.lub.lu.se/record/273391
- author
- Hamamoto-Kuroda, Ikuko LU and Mottelson, BR
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review C (Nuclear Physics)
- volume
- 69
- issue
- 6
- article number
- 064302
- publisher
- American Physical Society
- external identifiers
-
- wos:000222391000010
- scopus:4043164908
- ISSN
- 0556-2813
- DOI
- 10.1103/PhysRevC.69.064302
- 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
- ffe0622f-b7f8-4b36-92fe-a523f3a9e6f9 (old id 273391)
- date added to LUP
- 2016-04-01 16:04:45
- date last changed
- 2022-03-14 21:58:15
@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.}}, 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}}, doi = {{10.1103/PhysRevC.69.064302}}, volume = {{69}}, year = {{2004}}, }