Stability and instability of a hot and dilute nuclear droplet: I. Adiabatic isoscalar modes

W. Nörenberg, G. Papp, P. Rozmej

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The diabatic approach to dissipative collective nuclear motion is reformulated in the local-density approximation in order to treat the normal modes of a spherical nuclear droplet analytically. In a first application the adiabatic isoscalar modes are studied and results for the eigenvalues of compressional (bulk) and pure surface modes are presented as function of density and temperature inside the droplet, as well as for different mass numbers and for soft and stiff equations of state. We find that the region of bulk instabilities (spinodal regime) is substantially smaller for nuclear droplets than for infinite nuclear matter. For small densities below 30% of normal nuclear matter density and for temperatures below 5 MeV all relevant bulk modes become unstable with similar growth rates. The surface modes have a larger spinodal region, reaching out to densities and temperatures way beyond the spinodal line for bulk instabilities. Essential experimental features of multifragmentation, like fragmentation temperatures and fragment-mass distributions (in particular the power-law behavior) are consistent with the instability properties of an expanding nuclear droplet, and hence with a dynamical fragmentation process within the spinodal regime of bulk and surface modes (spinodal decomposition).

Original languageEnglish
Pages (from-to)327-343
Number of pages17
JournalEuropean Physical Journal A
Volume9
Issue number3
Publication statusPublished - 2000

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fragmentation
temperature
mass distribution
equations of state
eigenvalues
fragments
decomposition
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Stability and instability of a hot and dilute nuclear droplet : I. Adiabatic isoscalar modes. / Nörenberg, W.; Papp, G.; Rozmej, P.

In: European Physical Journal A, Vol. 9, No. 3, 2000, p. 327-343.

Research output: Contribution to journalArticle

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