The wobbling phenomenon in nuclei, which implies a precession of the total angular momentum combined with an oscillation of its projection onto the rotation axis, is analyzed within the Particle Rotor Model for odd-mass nuclei. Triaxial nuclei are objects with all three moments of inertia associated with the principal axes different in magnitude, making it possible for rotation to occur around all three axes. This results in a rich rotational spectrum with a collective character. Interpretation of the wobbling motion in odd-mass nuclei is usually done through a particle-rotor coupling, where an even-even triaxial is coupled to an odd-j nucleon which is said to be moving in a deformed quadrupole mean-field generated by the core itself. The strength of that potential is crucial in the description of the wobbling spectrum of a nucleus. In the present work, an analysis of the potential strength that characterizes the coupling between the core and the odd-nucleon is made, with the help of a deformed Nilsson potential in the total Hamiltonian of the system. A study of the coupling term is performed for different isotopes in which wobbling motion is known to occur.
SINGLE-PARTICLE MOTION IN A WOBBLING NUCLEUS - A CASE-STUDY FOR ODD-MASS ISOTOPES
Robert Poenaru1, 2, Apolodor Aristotel Raduta2, 3
1 Doctoral School of Physics, University of Bucharest, Bucharest, Romania
2 Department of Theoretical Physics, Horia-Hulubei National Institute of Nuclear Physics and Engineering, Bucharest-Magurele, Romania
3 Academy of Romanian Scientists, Bucharest, Romania