Abstract
Abstract We study the angular distribution of the scission neutrons in a time dependent approach. This implies the numerical solution of the bi-dimensional time-dependent Schrodinger equation (TDSE) with time-dependent potential. To describe the axially symmetric extremely deformed nuclear shapes involved, we have used modified Cassini ovals. The Hamiltonian in cylindrical coordinates is discretized on a bi-dimensional grid, using finite difference approximations of the derivatives. The initial wave-functions for TDSE are the eigensolutions of the stationary Schrodinger equation whose potential corresponds to the pre-scission point (when the neck connecting the primary fission fragments starts to break). The time evolution is calculated by a Crank-Nicolson scheme until the neck dissappears (the post-scission point). The resulting wave-functions are then propagated keeping the last configuration to further intervals of time. We investigate the nucleus 236 U at different mass asymmetries. The numerical solutions can be used to evaluate relevant physical quantities. Among them, the current density, a key quantity in the angular distribution calculation. The angular distribution of the scission neutrons is a priori a way to separate them from other neutron components. Moreover our preliminary results show a striking similarity with the angular distribution of the neutrons evaporated from fully accelerates fragments.
Published Version
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