Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei

M. Macek*, P. Cejnar, P. Stránský, J. Dobeš, A. Leviatan

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

First order quantum phase transition (QPT) between spherical and axially deformed nuclei shows coexisting, but well-separated regions of regular and chaotic dynamics. We employ a Hamiltonian of the Arima-Iachello Interacting Boson Model (IBM) with an arbitrarily high potential barrier separating the phases. Classical and quantum analyses reveal markedly distinct behavior of the two phases: Deformed phase is completely regular, while the spherical phase shows highly chaotic dynamics, similar to the Hénon-Heiles system. Rotational bands with quasi-SU(3) characteristics built upon the regular vibrational spectrum of beta- and gamma-vibrations are observed in the deformed phase up to very high excitation energies.

Original languageAmerican English
Title of host publicationSymmetries and Order
Subtitle of host publicationAlgebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello
EditorsReina Maruyama
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418950
DOIs
StatePublished - 3 Sep 2019
EventSymmetries and Order: Algebraic Methods in Many-Body Systems - New Haven, United States
Duration: 5 Oct 20186 Oct 2018

Publication series

NameAIP Conference Proceedings
Volume2150
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceSymmetries and Order: Algebraic Methods in Many-Body Systems
Country/TerritoryUnited States
CityNew Haven
Period5/10/186/10/18

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

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