Geometric shapes and relationships of some one-body and multibody leptodermous distributions

Abstract

Different families of geometric shapes, derived mainly from lemniscatoids, are proposed to describe ground and excited states of leptodermous distributions of nuclear matter. The transition from one spherical or ellipsoidal nucleus to several spherical or ellipsoidal nuclei or vice versa (in the decay and entrance channels of nuclear reactions: fission, fusion and fragmentation) is particularly investigated. The geometric characteristics of these configurations are given, allowing the calculations of the system energy, of the dynamics of the reactions and of the angular distribution of the fragments.

Effects of shell correction on α decay properties

“…In the 1980s, Royer gradually developed a generalized liquid-drop model (GLDM) by introducing the quasimolecular shapes (QMS) [4] and proximity term [5] into the traditional LDM, which shed more light on diverse nuclear phenomena, for instance, the process of spontaneous fission [6], fusion [7], cluster radioactivity [8], proton emissions [9], α decay [10], and even ternary fission [11,12].…”

Shapes describing the alpha decay, cluster radioactivity, fusion, fission and fragmentation phenomena

“…In a first part, most of these shape sequences used to describe the nuclear states and reactions are reviewed. In the following sections the definitions and geometric properties of different shape sequences that we have previously used and bring together recently [2] are recalled. Within macro-microscopic models they allow the study of the fusion [3,4], fission [5,6], fragmentation [7,8] and alpha decay and cluster radioactivity processes [9][10][11].…”