Spontaneous heavy cluster emission rates using microscopic potentials

Abstract

The nuclear cluster radioactivities have been studied theoretically in the framework of a microscopic superasymmetric fission model (MSAFM). The nuclear interaction potentials required for binary cold fission processes are calculated by folding in the density distribution functions of the two fragments with a realistic effective interaction. The microscopic nuclear potential thus obtained has been used to calculate the action integral within the WKB approximation. The calculated half lives of the present MSAFM calculations are found to be in good agreement over a wide range of observed experimental data.Comment: 4 pages, 4 figure

Two-electron bound state formation in thet–J–Umodel for exchange-coupled planes

“…The above result necessarily leads to the question of the superconducting properties for such a model Hamiltonian in the dilute limit. As shown in [9], and as found for the case of exchange-coupled chains [17], weak (or in our case zero) interplanar electronic hopping leads to a large density of states at half filling (the density of states for a 2d square lattice diverges logarithmically at the middle of band), necessarily leading to large increases in T c when compared to the situation found when the hopping frequency is isotropic. Therefore, using a weak-coupling BCS approach one indeed expects for this model to show a large increase in T c relative to the 3d lattice.…”

“…To get a simple expression of J as a function of the energy A in three dimensions, analogous to (19), one can derive a set of equations analogous to (17), viz.…”

Spectroscopic factors and cluster decay half-lives of heavy nuclei

“…The problem of the existence of admixture of cluster structure in the ground states of heavy nuclei has attracted much attention, especially because of the observed cluster decay with the emission of clusters 12,14 C, 20 O, 23 F, 24,25 Ne, 28−30 Mg, and 32 Si [1][2][3][4][5]. The probability of cluster radioactivity is strongly related to the shell effects.…”

“…Among different approaches to the description of cold cluster decay of nuclei one can distinguish two types [1,[6][7][8][9][10][11][12][13][14][15][16]: nonadiabatic treatment similar to α decay and adiabatic treatment similar to superasymmetric fission. Although in the first case the cluster is suddenly formed and penetrates the Coulomb barrier, in the second case the final cluster formation goes through a sequence of geometrical shapes.…”

Cluster decay in very heavy nuclei in a relativistic mean field model

“…Basu [5] studied the nuclear cluster radioactivity also in the framework of a SAFM using a phenomenological density and the realistic M3Y interaction. Bhagwat and Gambhir [6] used densities from RMF calculations using the force NL3 [7].…”