A new boson approach for the wobbling motion in even-odd nuclei

A triaxial core rotating around the middle axis, i.e. two-axis, is cranked around the one-axis, due to the coupling of an odd proton from a high j orbital. Using the Bargmann representation of a new and complex boson expansion of the angular momentum components, the eigenvalue equation of the model...

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Bibliographic Details
Published in:Journal of physics. G, Nuclear and particle physics Nuclear and particle physics, 2021-01, Vol.48 (1), p.15106
Main Authors: Raduta, A A, Raduta, C M, Poenaru, R
Format: Article
Language:English
Subjects:
boson expansion
contour plot
phase diagram
potential energy
transition probability
triaxial rotor
wobbling motion
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Summary:A triaxial core rotating around the middle axis, i.e. two-axis, is cranked around the one-axis, due to the coupling of an odd proton from a high j orbital. Using the Bargmann representation of a new and complex boson expansion of the angular momentum components, the eigenvalue equation of the model Hamiltonian acquires a Schrödinger form with a fully separated kinetic energy. From a critical angular momentum, the potential energy term exhibits three minima, two of them being degenerate. Spectra of the deepest wells reflects a chiral-like structure. Energies corresponding to the deepest and local minima respectively, are analytically expressed within a harmonic approximation. Based on a classical analysis, a phase diagram is constructed. It is also shown that the transverse wobbling mode is unstable. The wobbling frequencies corresponding to the deepest minimum are used to quantitatively describe the wobbling properties in 135Pr. Both energies and e.m. transition probabilities are described.
ISSN:0954-3899
1361-6471
DOI:10.1088/1361-6471/abc533