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11–15 Jul 2022
Dubrovnik, Croatia
Europe/Zagreb timezone

What EDFs can tell us on PDSs in nuclei

12 Jul 2022, 15:00
25m
IUC

IUC

Don Frana Bulića 4, Dubrovnik
Symmetries and quantum phase transitions in nuclei Symmetries and quantum phase transitions in nuclei

Speaker

Amiram Leviatan (The Hebrew University)

Description

In a partial dynamical symmetry (PDS), the stringent conditions imposed by an exact dynamical symmetry are relaxed, so that solvability and/or good quantum numbers are retained by only a subset of states. Detailed studies have shown that PDSs account quite well for a wealth of spectroscopic data in various nuclei. In all these phenomenological studies, an Hamiltonian with a prescribed PDS is introduced, its parameters are determined from a fit to the spectra, and the PDS predictions (which are often parameter-free) are compared with the available empirical energies and transition rates. In the present contribution, we show that the PDS notion is robust and founded on microscopic grounds [1]. We use self-consistent mean-field methods in combination with the interacting boson model (IBM) of nuclei, to establish a linkage between universal energy density functionals (EDFs) and PDSs. An application to 168Er shows that IBM Hamiltonians derived microscopically from known non-relativistic and relativistic EDFs in this region, conform with SU(3)-PDS.

[1] K. Nomura, N. Gavrielov, and A. Leviatan, Phys. Rev. C 104, 044317 (2021).

Authors

Dr Noam Gavrielov (The Hebrew University) K. Nomura (University of Zagreb) Amiram Leviatan (The Hebrew University)

Presentation materials