Triaxial nuclei behave uniquely due to their anisotropy in both the mass and charge distributions. One clear finger-print of nuclear triaxiality - Wobbling Motion - is the phenomenon in which the total angular momentum of the nucleus precesses and wobbles around its rotational axis, resulting in a rich rotational spectrum with a phononic character and thus making the final nuclear motion behave similarly to a harmonic oscillator. A lot of effort was made for developing theoretical models that describe wobbling motion in both even-even and even-odd nuclei. Considered the best wobbler to date, 163Lu has four triaxial strongly deformed bands up to high spins which are established as having a wobbling nature. A successful description of the excitation energies for all four bands using a semi-classical approach is made within the current formalism. Indeed, by starting from a quantal Hamiltonian specific to the Particle-Rotor-Model, a Time-Dependent Variational Principle is applied to obtain a set of classical equations of motion. Analysis of the nuclear motion in this isotope is also made with the use of a classical energy function which is studied in terms of its stability region. As such, conditions when nuclear wobbling motion is stable/unstable arise. Interpretation of obtained results helps to establish certain features of the current work.
DESCRIBING THE WOBBLING MOTION IN 163LU THROUGH A SEMI-CLASSICAL APPROACH
Robert Poenaru1, 2
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