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 language||American English|
|Title of host publication||Symmetries and Order|
|Subtitle of host publication||Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello|
|Publisher||American Institute of Physics Inc.|
|State||Published - 3 Sep 2019|
|Event||Symmetries and Order: Algebraic Methods in Many-Body Systems - New Haven, United States|
Duration: 5 Oct 2018 → 6 Oct 2018
|Name||AIP Conference Proceedings|
|Conference||Symmetries and Order: Algebraic Methods in Many-Body Systems|
|Period||5/10/18 → 6/10/18|
Bibliographical notePublisher Copyright:
© 2019 Author(s).