The energy dependence of the fusion cross section and its maximum value are well predicted, for a wide range of nuclei and energies, by introducing information on the nuclear matter density distribution into a simple formula
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May 18, 2017 (v1)PublicationUploaded on: December 4, 2022
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May 18, 2017 (v1)Publication
The critical radii obtained from analyses of the elastic scattering of alpha-particles by a range of nuclei are found to be closely connected with the nuclear matter distributions obtained by summing the squares of single-particle wavefunctions. This provides a method of calculating the details of the optical potentials from the structure of...
Uploaded on: March 27, 2023 -
May 24, 2017 (v1)Publication
A characteristic pattern frequently observed in the angular distribution of heavy-ion elastic scattering at moderate energies above the Coulomb barrier has been attributed either to a Fresnel diffraction or to a rainbow effect. We propose a comparison between the strong absorption radius Rsa and the rainbow radius Rr at different energies,...
Uploaded on: March 27, 2023 -
September 20, 2017 (v1)Publication
The energy dependence of both the strong absorption radius, Rsa, and the rainbow distance, Rr, in the elastic scattering of a dozen pairs of heavy ions is studied. Rsa decreases with energy linearly in E−13 while Rr increases linearly in E−32. The rainbow effect appears to prevail (Rr > Rsa) above a certain energy which is proportional to the...
Uploaded on: December 5, 2022 -
May 24, 2017 (v1)Publication
The real part of the optical potential for heavy ion elastic scattering is obtained by double folding of the nuclear densities with a density-dependent nucleon-nucleon effective interaction which was successful in describing the binding, size, and nucleon separation energies in spherical nuclei. A simple analytical form is found to differ from...
Uploaded on: December 4, 2022 -
May 18, 2017 (v1)Publication
The depth of the imaginary part of the optical potential is derived from the assumption that, at a given energy and for each partial wave L, it is proportional to the compound nucleus density level up to a given excitation energy above the yrast level corresponding to the angular momentum L, and remains a constant for smaller values of L. The...
Uploaded on: December 4, 2022