Electromagnetic transition strengths in soft deformed nuclei
Entity
UAM. Departamento de Física TeóricaPublisher
American Physical SocietyDate
2012-11-12Citation
10.1103/PhysRevC.86.054306
Physics review C 86.5 (2012): 054306
ISSN
0556-2813 (print); 1089-490X (online)DOI
10.1103/PhysRevC.86.054306Funded by
This work was supported in part by the U.S. Depart- ment of Energy under Grant DE-FG02-00ER41132, and by the National Science Foundation under Grant PHY- 0835543. The work of LMR was supported by MINECO (Spain) under grants Nos. FPA2009-08958, and FIS2009- 07277, as well as by Consolider-Ingenio 2010 Program MULTIDARK CSD2009-00064Project
Gobierno de España. FPA2009-08958; Gobierno de España. FIS2009- 07277; Gobierno de España. CSD2009-00064Editor's Version
http://dx.doi.org/10.1103/PhysRevC.86.054306Subjects
FísicaRights
© 2012 American Physical SocietyAbstract
Spectroscopic observables such as electromagnetic transitions strengths can be related to the properties of the intrinsic mean-field wave function when the latter are strongly deformed, but the standard rotational formulas break down when the deformation decreases. Nevertheless there is a well-defined, non-zero, spherical limit that can be evaluated in terms of overlaps of meanfield intrinsic deformed wave functions. We examine the transition between the spherical limit and strongly deformed one for a range of nuclei comparing the two limiting formulas with exact projection results. We find a simple criterion for the validity of the rotational formula depending on (~ J2i), the mean square fluctuation in the angular momentum of the intrinsic state. We also propose an interpolation formula which describes the transition strengths over the entire range of deformations, reducing to the two simple expressions in the appropriate limits
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Google Scholar:Robledo Martín, Luis Miguel
-
Bertsch, G. F.
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