Chaoticity in Vibrating Nuclear Billiards

Abstract

We study the motion of classical particles confined in a two-dimensional "nuclear" billiard whose walls undergo periodic shape oscillations according to a fixed multipolarity. The presence of a coupling term in the single particle Hamiltonian between the particle motion and the collective coordinate generates a fully selfconsistent dynamics. We consider in particular monopole oscillations and demonstrate that self-consistency is essential in order to induce chaotic single-particle motion. We also discuss the dissipative behaviour of the wall motion and its relation with the order-to-chaos transition in the dynamics of the microscopic degrees of freedom. Analogous considerations can be extended to higher multipolarities.

LateX, 10 pages, 3 figures available on request

References in corpus (4)

• Thermalization of a Brownian particle via coupling to low-dimensional chaos
• Coexistence of Regular Undamped Nuclear Dynamics with Intrinsic Chaoticity
• Phase-Space Exploration in Nuclear Giant Resonance Decay
• Chaos Driven Decay of Nuclear Giant Resonances: Route to Quantum Self-Organization

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