Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-07-10
Nucl.Phys. A727 (2003) 220-232
Physics
Nuclear Physics
Nuclear Theory
10 pages, Latex file, 7 ps figures
Scientific paper
10.1016/j.nuclphysa.2003.08.014
The isoscalar octupole response of a heavy spherical nucleus is analyzed in a semiclassical model based on the linearized Vlasov equation. The octupole strength function is evaluated with different degrees of approximation. The zero-order fixed-surface response displays a remarkable concentration of strength in the $1\hbar\omega$ and $3\hbar\omega$ regions, in excellent agreement with the quantum single-particle response. The collective fixed-surface response reproduces both the high- and low-energy octupole rsonances, but not the low-lying $3^{-}$ collective states, while the moving-surface response function gives a good qualitative description of all the main features of the octupole response in heavy nuclei. The role of triangular nucleon orbits, that have been related to a possible instability of the spherical shape with respect to octupole-type deformations, is discussed within this model. It is found that, rather than creating instability, the triangular trajectories are the only classical orbits contributing to the damping of low-energy octupole excitations.
Abrosimov Valery I.
Davidovskaya O. I.
Dellafiore A.
Matera F.
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