Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-11-20
Acta Phys.Polon. B32 (2001) 1033-1048
Physics
Nuclear Physics
Nuclear Theory
19 pages, 9 figures, Presented by W.J. Swiatecki at the XXXV Zakopane School of Physics, Zakopane, Poland, 5-13 September, 200
Scientific paper
Using scaling rules valid in the liquid drop model of nuclei, as well as universal rules associated with exchanges of stability in families of equilibrium configurations, we constructed closed formulae in terms of the atomic and mass numbers Z and A and the angular momentum L, which represent the properties of nuclei rotating synchronously (with `rigid' moments of inertia), as calculated numerically using the Thomas-Fermi model of [5,6]. The formulae are accurate in the range of mass numbers where the transition to rapidly elongating triaxial `Jacobi' shapes takes place. An improved set of formulae is also provided, which takes account of the decreased moments of inertia at low angular momenta. The formulae should be useful in guiding experimental searches for the Jacobi transition. In the second part of the paper we discuss qualitatively some aspects of the dynamics of nucleus-nucleus fusion, and outline a possible way of estimating cross-sections for the synthesis of superheavy nuclei.
Myers W. D.
Swiatecki W. J.
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