https://doi.org/10.1140/epja/s10050-022-00727-5
Regular Article - Theoretical Physics
Study of wobbling modes by means of spin coherent state maps
1
Department of Physics, East China Normal University, 200241, Shanghai, China
2
Physik-Department, Technische Universität München, 85747, Garching, Germany
3
Physics Department, University of Notre Dame, 46556, Notre Dame, IN, USA
Received:
29
December
2021
Accepted:
8
April
2022
Published online:
25
April
2022
We discuss in depth the interpretation of the quantum states of the model of a triaxial rotor coupled to an odd-particle (PTR). The limitations caused by the discreteness and finiteness of the angular momentum Hilbert space are discussed in detail. We introduce the spin coherent state representation, which directly extracts the classical features from the quantum states. For the triaxial rotor model, the relation to the classical motion of the angular momentum vector is analysed in detail. Two-dimensional plots of the probability distributions of the spin coherent states are used to generalize the classification of the collective excitations of the PTR as transverse and longitudinal wobbling modes based on their topologies. The transition from the transverse to the longitudinal regime with increasing angular momentum is analysed for the first time in full detail, which reveals the appearance of a flip mode in the transition region and that the small-amplitude approximation predicts a too early break-down of the transverse wobbling regime. The relation between the transverse-longitudinal classification and alternative terminology from the literature is clarified.
The original online version of this article was revised: The wrong figure appeared as Fig. 15. The orginal article has been corrected.
An erratum to this article is available online at https://doi.org/10.1140/epja/s10050-022-00824-5.
Copyright comment corrected publication 2022
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. corrected publication 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
