Energy partition in low energy fission

TL;DR

This paper models the intrinsic excitation energy distribution in low energy fission fragments using time-dependent pairing equations, revealing non-proportional energy sharing influenced by shell effects.

Contribution

It introduces a dynamic approach combining pairing equations with a macroscopic-microscopic fission path to analyze energy partitioning.

Findings

Intrinsic energy is not shared proportionally to fragment masses.

Heavy fragments near magic numbers have lower excitation energy.

Energy sharing is influenced by shell effects and pairing dynamics.

Abstract

The intrinsic excitation energy of fission fragments is dynamically evaluated in terms of the time dependent pairing equations. These equations are corroborated with two conditions. One of them fixes the number of particles and the another separates the pairing active spaces associated to the two fragments in the vicinity of the scission configuration. The fission path is obtained in the frame of the macroscopic-microscopic model. The single particle level schemes are obtained within the two center Woods-Saxon shell model. It is shown that the available intrinsic dissipated energy is not shared proportionally to the masses of the two fission fragments. If the heavy fragment possesses nucleon numbers close to the magic ones, the accumulated intrinsic excitation energy is lower than that of the light fragment.