Shape dependence of single particle response and the one body limit of damping of multipole vibrations of a cavity

Journal Article · Sun Sep 01 04:00:00 EDT 1996 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.54.1333· OSTI ID:383344

Pal, S; Mukhopadhyay, T ^[1]

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1. Variable Energy Cyclotron Centre, 1/AF Bidhan Nagar, Calcutta 700 064 (India)

We present a modification of the wall formula for one body dissipation in order to include the effect of irregularity in the shape of the one body potential on the dissipation mechanism. We arrive at a dissipation rate which is a scaled version of the wall formula developed earlier by Blocki {ital et} {ital al}. We show that the scaling factor is determined by a measure of chaos in the single particle motion. As an illustration, we obtain this measure of chaos for particles in a multipole deformed cavity with a view to use the scaled wall formula to calculate the damping widths of multipole vibrations of the cavity wall. Considering the amplitudes of the vibrations typical of the giant resonances in nuclei, it is observed that the effect of the shape dependence is to strongly suppress the damping caused by the original wall formula. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 383344
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 3 Vol. 54; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AMPLITUDES
CHAOTIC SYSTEMS
DAMPING
GIANT RESONANCE
LATTICE VIBRATIONS
MULTIPOLES
SCALING
SHAPE
SINGLE-PARTICLE MODES
WIDTH