CMS physics technical design report : Addendum on high density QCD with heavy ions

Peer reviewe

The Determination Of The Coulomb Energy Of A Nuclear System At The Scission Point Upon Fission

The dependence of the Coulomb energy of deformed nuclei on the shape and the nuclear matter density distribution is considered. For an ellipsoidal shape of the nucleus and a homogeneous distribution of nuclear matter, the result was obtained in a simple analytical form convenient for further use. Separate attention was paid to the consideration of a Fermi-like distribution of nuclear matter using different shapes of the nucleus that reflect several different kinds of collective motions. After these considerations, the dependence of the Coulomb energy of the fission products at the scission point of binary fission reactions on configurations, shapes and nuclear matter distributions was investigated. Calculation of the dependence of the shape of the nuclei deformation parameters at the scission point from their total kinetic energies was made in detail. Finally, the influence of shell effects on the mass yield of fission products is discussed. © Allerton Press, Inc. 2007

Calculation Of Proton And Neutron Distribution In Fissioning Nuclei

A method for calculation of neutron and proton densities in the interior of the nucleus on its deformation for description of their variations in the course fission is presented. Contribution from the surface terms of the potential nuclear energy on formation of the densities is investigated. Prospect for the use of the results obtained are discussed. © 2007 by Allerton Press, Inc

Nucleus Shape At The Scission Point At Different Kinetic Energies Of Fission Fragments

Deformations of fission fragments at fixed kinetic energies of a light fragment have been calculated within the droplet model. The calculations performed demonstrate the existence of a spherical shape with A1 = 76 and Ah = 134 (β1, βh ≈ 0). Fragments with A1 \u3c 76 and Ah \u3c 130 pass from the spherical to flattened shape. Fragments with Ah \u3c 126 again acquire an elongated shape. © Allerton Press, Inc. 2007