Gross-shell effects in nuclear response functions

Magner, A. G.; Vydrug-Vlasenko, S.M.; Hofmann, Helmut

doi:10.1016/0375-9474(91)90015-x

Cited by 21 publications

(40 citation statements)

References 24 publications

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“…3). In this sense we have been able to confirm a conjecture raised in [4]. However, it has to be stated that we have found this to be true only after performing the averages in the sense of the single particle density.…”

Section: )Co~ (Co)q(co)=(--m2m--io)y F + C)q(co)supporting

confidence: 74%

“…For the same reasons as before, for the F of (7) we have taken the finite value of 0.4 MeV. We may note that for the semiclassical calculation of OZ (co) performed in [4] there is an inherent uncertainty which is a little larger, namely 1-2 MeV.…”

Section: I) Smoothing the Occupation Numbers This Procedures Was Usedmentioning

confidence: 98%

“…In [4] this separation was understood in the sense of averaging over occupation number and the authors focused on the fluctuating part. The latter was calculated by semiclassical expansions in terms of the particles' trajectories inside an infinitely deep square well.…”

Section: Xcoll ((O) ~--2coll (03) -~ ~Xcoll ((O) (1)mentioning

confidence: 99%

“…(co) after performing statistical averages. We follow the idea of [4] to split this function into the two parts familiar from the original Strutinsky method, namely a smooth and an oscillating one:…”

Section: Introductionmentioning

confidence: 99%

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From microscopic to macroscopic nuclear collective dynamics

Hofmann

Ivanyuk

1992

Z. Physik A - Hadrons and Nuclei

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Abstract.We apply smoothing procedures to response functions for isoscalar vibrations. For collective motion, we find a transition from a structured strength distribution to one corresponding to one incoherent, strongly overdamped mode. It is argued that the latter may be interpreted as "macroscopic" motion exhibiting, to some extent, features of the hydrodynamical model. We discuss the physical origin of this behaviour, in particular its relation to the disappearance of shell structure.

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Section: )Co~ (Co)q(co)=(--m2m--io)y F + C)q(co)supporting

confidence: 74%

Section: I) Smoothing the Occupation Numbers This Procedures Was Usedmentioning

confidence: 98%

Section: Xcoll ((O) ~--2coll (03) -~ ~Xcoll ((O) (1)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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From microscopic to macroscopic nuclear collective dynamics

Hofmann

Ivanyuk

1992

Z. Physik A - Hadrons and Nuclei

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“…In fact, our consideration of smooth spectral function (2.6) is analogous to the smoothing of strength function in the ThomasFermi model [8]. The fluctuation part of spectral function S(EF, e) corresponds to the closed classical trajectories [9,10] which lead to the shell effects in the mass coefficients, friction etc. These additional fluctuation terms to (2.6) are the quantum corrections and (2.6) gives thus the leading term in an expansion to A -1/3 [11].…”

Section: C(e T)=~ Dc~ and (E-h (O~))a (Cqa (C~)mentioning

confidence: 99%

Response function and kinetic coefficients of chaotic systems

Kolomietz

Kondratyev

1992

Z. Physik A - Hadrons and Nuclei

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Abstract.Stochastic approach based on the semiclassical approximation is developed for the description of finite Fermi-systems dynamics. The response function in the quadrupole external field is calculated in the framework of the independent particle model for the harmonic oscillator and square-well average potentials. Considerable excess of the smooth term of the cranking-model inertial coefficient over the hydrodynamics value is demonstrated. Connection between the friction coefficient and onebody relaxation time is obtained.

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