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Positive-energy one-particle levels in quadrupole-deformed Woods-Saxon potentials

Hamamoto-Kuroda, Ikuko LU (2006) In Physical Review C (Nuclear Physics) 73(6).
Abstract
Positive-energy one-particle levels for neutrons in Y20 deformed Woods-Saxon potentials are examined using the eigenphase representation. Taking the example of =1/2+ levels, not only one-particle resonant levels but also all solutions in the eigenphase representation within a model space are studied. It is shown that a particular eigenphase solution among an infinite number of eigenphase solutions at a given energy plays a crucial role in producing low-lying one-particle resonance, whereas for the excitation energy lower than a few MeV the eigenphase sum is almost equal to the particular eigenphase when the sum is expressed by the value mod n. Some one-particle resonant levels defined in terms of eigenphase, which have no correspondence to... (More)
Positive-energy one-particle levels for neutrons in Y20 deformed Woods-Saxon potentials are examined using the eigenphase representation. Taking the example of =1/2+ levels, not only one-particle resonant levels but also all solutions in the eigenphase representation within a model space are studied. It is shown that a particular eigenphase solution among an infinite number of eigenphase solutions at a given energy plays a crucial role in producing low-lying one-particle resonance, whereas for the excitation energy lower than a few MeV the eigenphase sum is almost equal to the particular eigenphase when the sum is expressed by the value mod n. Some one-particle resonant levels defined in terms of eigenphase, which have no correspondence to any bound one-particle levels, are found and discussed. It is shown that the relative probability of the s1/2 component estimated using the probabilities inside the Woods-Saxon potentials is a decisive factor for obtaining one-particle resonant levels as a continuation of weakly bound =1/2+ levels. (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
73
issue
6
article number
064308
publisher
American Physical Society
external identifiers
  • wos:000238697500017
  • scopus:33745544957
ISSN
0556-2813
DOI
10.1103/PhysRevC.73.064308
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
2261d0ed-336a-4bf0-ada2-5517f486d4d0 (old id 702191)
date added to LUP
2016-04-01 16:03:40
date last changed
2020-11-22 03:25:49
@article{2261d0ed-336a-4bf0-ada2-5517f486d4d0,
  abstract     = {Positive-energy one-particle levels for neutrons in Y20 deformed Woods-Saxon potentials are examined using the eigenphase representation. Taking the example of =1/2+ levels, not only one-particle resonant levels but also all solutions in the eigenphase representation within a model space are studied. It is shown that a particular eigenphase solution among an infinite number of eigenphase solutions at a given energy plays a crucial role in producing low-lying one-particle resonance, whereas for the excitation energy lower than a few MeV the eigenphase sum is almost equal to the particular eigenphase when the sum is expressed by the value mod n. Some one-particle resonant levels defined in terms of eigenphase, which have no correspondence to any bound one-particle levels, are found and discussed. It is shown that the relative probability of the s1/2 component estimated using the probabilities inside the Woods-Saxon potentials is a decisive factor for obtaining one-particle resonant levels as a continuation of weakly bound =1/2+ levels.},
  author       = {Hamamoto-Kuroda, Ikuko},
  issn         = {0556-2813},
  language     = {eng},
  number       = {6},
  publisher    = {American Physical Society},
  series       = {Physical Review C (Nuclear Physics)},
  title        = {Positive-energy one-particle levels in quadrupole-deformed Woods-Saxon potentials},
  url          = {http://dx.doi.org/10.1103/PhysRevC.73.064308},
  doi          = {10.1103/PhysRevC.73.064308},
  volume       = {73},
  year         = {2006},
}