Type of Document	Dissertation
Author	Stoitcheva, Guergana Stoianova
Author's Email Address	gstoitc@lsu.edu
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 solitons
Date of Defense	2002-03-11
Availability	unrestricted
Abstract 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.
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