Energies of molecular structures inC12,O16,Ne

Abstract

The energy of the 12 C, 16 O, 20 Ne, 24 Mg and 32 S 4n-nuclei has been determined within a generalized liquid drop model and assuming different planar and three-dimensional shapes of α-molecules : linear chain, triangle, square, tetrahedron, pentagon, trigonal bipyramid, square pyramid, hexagon, octahedron, octogon and cube. The potential barriers governing the entrance and decay channels via α absorption or emission as well as more symmetric binary and ternary reactions have been compared. The rms radii of the linear chains differ from the experimental rms radii of the ground states. The binding energies of the three-dimensional shapes at the contact point are higher than the ones of the planar configurations. The alpha particle plus A-4 daughter configuration leads always to the lowest potential barrier. The binding energy can be reproduced within the sum of the binding energy of n α particles plus the number of bonds multiplied by 2.4 MeV or by the sum of the binding energies of one alpha particle and the daughter nucleus plus the Coulomb energy and the proximity energy.

Correlated-Gaussian approach to linear-chain states: Case of four α particles

“…The 4α decay of some excited states in 16 O has been studied experimentally [19][20][21]. Recently the possibility of nuclear LC states in 16 O as well as in other light nuclei has attracted renewed interest both theoretically and experimentally [22][23][24][25][26][27][28][29][30][31][32].…”

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

“…From the elliptic lemniscatoids, it is possible to generate symmetric prolate ternary shapes varying from one sphere to three aligned tangent identical spheres, assuming volume conservation. Such configurations may correspond, for example, to some excited quasimolecular states of 12 C formed of three aligned α particles [15].…”

“…Other planar and three-dimensional multibody shapes such as linear chain, triangle, square, tetrahedron, pentagon, trigonal bipyramid, square pyramid, hexagon, octahedron, octagon and cube have also been used to describe some light nuclei as α molecules [15].…”

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

“…To study n α-nuclei as nuclear molecules, different configurations such as linear chain, triangle, square, tetrahedron, pentagon, square bipyramid, trigonal pyramid, hexagon, octahedron, octagon and cube have also been selected [12].…”