Type of Document Dissertation Author Stoitcheva, Guergana Stoianova Author's Email Address email@example.com URN etd-0324102-225153 Title Nonlinear Dynamics in Nuclear Structure Degree Doctor of Philosophy (Ph.D.) Department Physics and Astronomy Advisory Committee
Advisor Name Title Jerry P. Draayer Committee Chair Aiichiro Nakano Committee Co-Chair E.F. Zganjar Committee Member Feng Pan Committee Member Jorge Aravena Committee Member R.F. O'Connell Committee Member R.L. Imlay Committee Member Keywords
- shell effects
- collective coordinates
Date of Defense 2002-03-11 Availability unrestricted AbstractNew 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.
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