Casten, R. F., Jolie, J., Cakirli, R. B. and Couture, A. (2016). Finite valence nucleon number and rotation-vibration interactions. Phys. Rev. C, 94 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9993
Full text not available from this repository.Abstract
Background: A characteristic observable of nuclear collective motion is the relative B(E2) values from the gamma band to the ground band in even-even deformed nuclei. TheAlaga rules provide an idealized set of benchmarks for these observables. However, deviations from the Alaga rules are universally observed and have been traditionally and successfully interpreted in terms of parameterized gamma-band-ground-band bandmixing. An alternate approach, partial dynamical symmetries, has no bandmixing whatsoever and is parameter free, yet mimics closely the effects of bandmixing, due solely to the effects of finite valence nucleon number. Purpose: To investigate the relation between these two seemingly contradictory approaches to understand how they can produce such similar results. Method: To derive approximate relations between the two formalisms. Results: A consistent relationship is found linking bandmixing to finite valence nucleon number effects on interband gamma to ground-band B(E2) values. Conclusions: Two disparate approaches to one of the iconic characteristics of deformed nuclei are shown to be intimately related. Moreover, a systematic difference in their predictions also emerges naturally from the derivation. The qualitative linkage of valence nucleon number and the separation of vibrational and rotational degrees of freedom has long been assumed but never before explicitly demonstrated through complementary models.
| Item Type: | Journal Article | ||||||||||||||||||||
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| URN: | urn:nbn:de:hbz:38-252727 | ||||||||||||||||||||
| DOI: | 10.1103/PhysRevC.94.061303 | ||||||||||||||||||||
| Journal or Publication Title: | Phys. Rev. C | ||||||||||||||||||||
| Volume: | 94 | ||||||||||||||||||||
| Number: | 6 | ||||||||||||||||||||
| Date: | 2016 | ||||||||||||||||||||
| Publisher: | AMER PHYSICAL SOC | ||||||||||||||||||||
| Place of Publication: | COLLEGE PK | ||||||||||||||||||||
| ISSN: | 2469-9993 | ||||||||||||||||||||
| Language: | English | ||||||||||||||||||||
| Faculty: | Unspecified | ||||||||||||||||||||
| Divisions: | Unspecified | ||||||||||||||||||||
| Subjects: | no entry | ||||||||||||||||||||
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| Refereed: | Yes | ||||||||||||||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/25272 |
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