https://doi.org/10.1140/epja/s10050-025-01640-3
Regular Article - Theoretical Physics
Why does transverse wobbling occur in Lutetium isotopes?
1
School of Space Science and Technology, Shandong University, 264209, Weihai, People’s Republic of China
2
Shandong Provincial Key Laboratory of Nuclear Science, Nuclear Energy Technology and Comprehensive Utilization, Weihai Frontier Innovation Institute of Nuclear Technology, School of Nuclear Science, Energy and Power Engineering, Shandong University, 264209, Weihai, People’s Republic of China
Received:
20
May
2025
Accepted:
4
July
2025
Published online:
19
July
2025
The evolutions of deformation and angular momentum orientation with rotational frequency in the 
bands of triaxial strongly deformed 
have been researched by the titled axis cranking model plus shell correction method. The potential energy surfaces corresponding to the deformation parameters (
, 
) and the angular momentum orientation (
) are presented for rotational frequency 
varying from 0.0 to 0.6 MeV. It is found from the calculated potential energy surfaces that the nuclear shapes are very stable at a strong triaxial deformation for Lu isotopes and the total angular momentum is favorable to align on the short axis with increasing rotational frequency. The potential energy surfaces provide highly intuitive information that the transverse wobbling motion is favorable in Lu isotopes, and such kind of calculations will be helpful to clarify the debates in wobbling motions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) 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.
