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The Physics of Warm Nucleiwith Analogies to Mesoscopic Systems$
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Helmut Hofmann

Print publication date: 2008

Print ISBN-13: 9780198504016

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780198504016.001.0001

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Average collective motion of small amplitude

Average collective motion of small amplitude

Chapter:
(p.128) 6 Average collective motion of small amplitude
Source:
The Physics of Warm Nuclei
Author(s):

Helmut Hofmann

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198504016.003.0006

This chapter focuses on collective motion of isoscalar nature parameterized by shape variables. The equations of motion are derived from energy conservation as implied by self-consistency. A basic ingredient is the variation of the total static energy with deformation, which at finite thermal excitations has to be calculated for constant entropy. Linear response theory is exploited for the dynamics, especially for separating reactive and dissipative forces. Response functions for intrinsic, nucleonic motion are distinguished from those for collective dynamics. The origin of irreversible behavior due to the decay of simple to more complicated nucleonic configurations is described in detail. In practical applications, dressed single particle states are used in their dependence on temperature. The variation of the transport coefficients for inertia and friction with T obtained this way is confronted with that given in various other models, like in the diabatic one, in common RPA, in the random matrix model, or in the liquid drop model and for wall friction. Implications on rotational motion are discussed.

Keywords:   isoscalar collective motion, linear response theory, irreversible behavior, dressed single particle states, diabatic models, liquid drop inertia, wall friction, random matrix theory, RPA, rotational motion

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