P. Magierski et al., EXCITATION OF A QUANTUM GAS OF INDEPENDENT PARTICLES UNDER PERIODIC PERTURBATION IN INTEGRABLE OR NONINTEGRABLE POTENTIALS, Physical review. C. Nuclear physics, 56(2), 1997, pp. 1011-1018
The excitation of a quantum gas of 112, independent fermions in the ti
me-dependent potential well, periodically oscillating around the spher
ical shape, was followed over ten oscillation cycles. Five different o
scillation frequencies are considered for each of the five types of de
formations: spheroidal and Legendre polynomial ripples P-3, P-4, P-5,
and P-6. The excitation rate of the gas in the deforming hard-walled c
avities substantially decreases after initial one or two cycles and th
e final excitation energy is a few times smaller than the wall formula
predictions. Qualitatively similar results are obtained for the diffu
sed Woods-Saxon well. The details and possible origins of this behavio
r are discussed as well as the consequences for the one-body dissipati
on model of nuclear dynamics.