  Irrotational ow of a spherical thin liquid layer surrounding a rigid core is
described using the defocusing nonlinear Schrodinger equation. Accordingly,
azimuthal moving nonlinear waves are modeled by periodic dark solitons
expressed by elliptic functions. In the quantum regime the algebraic Bethe
ansatz is used in order to capture the energy levels of such motions, which we
expect to be relevant for the dynamics of the nuclear clusters in deformed
heavy nuclei surface modeled by quantum liquid drops. In order to validate the
model we match our theoretical energy spectra with experimental results on
energy, angular momentum and parity for alpha particle clustering nuclei.
