New collective coordinates that describe the deformation of atomic nuclei in terms of solitary waves (rotons) that are solutions of an underlying nonlinear liquid drop dynamics are introduced. The rotons, which are highly localized
surface excitations, are shown to be intelligent states of an underlying angular momentum algebra, and furthermore, to adiabatically decouple from the rotational motion of the nucleus. An expansion of the roton profile in terms of
surface multipoles shows that although the quadrupole mode (&lambda= 2) dominates, there are significant contributions from other even multipoles with &lambda= 4, 6, 8, etc. The picture of nuclear deformation that emerges is that of a smooth transition from vibrational motion to rotations, signaled by the increasing amplitude of the surface oscillations. The proposed model incorporates two features:
Shell effects, with only particles (holes) above (below) the core participating in the dynamics.
Collective modes, governed through nonlinear terms in the interaction
governing the system.
The theory offers a different interpretation of the Bohr-Mottelson picture of collective motion, one that integrates in a natural way the concept of shell closures.
| Identifer | oai:union.ndltd.org:LSU/oai:etd.lsu.edu:etd-0324102-225153 |
| Date | 26 March 2002 |
| Creators | Stoitcheva, Guergana Stoianova |
| Contributors | R.F. O'Connell, Feng Pan, Aiichiro Nakano, Jerry P. Draayer, R.L. Imlay, E.F. Zganjar, Jorge Aravena |
| Publisher | LSU |
| Source Sets | Louisiana State University |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lsu.edu/docs/available/etd-0324102-225153/ |
| Rights | unrestricted, I hereby grant to LSU or its agents the right to archive and to make available my thesis or dissertation in whole or in part in the University Libraries in all forms of media, now or hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation. |
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