Fourier transform of single particle wave functions in extremely deformed nuclei: Towards the momentum distribution of scission neutrons
“Horia Hulubei” National Institute of Physics and Nuclear Engineering, Bucharest, Romania
2 Joint Institute for Nuclear Research, FLNR, Dubna, Moscow Region, Russia
Published online: 6 March 2018
The Fourier transform of single particle wave functions in cylindrical coordinates is applied to the study of neutrons released during scission. We propagate the neutron wave packets in time through the bi-dimensional time dependent Schrödinger equation with time dependent potential. We separate the parts of these wave packets that are in the continuum and calculate their Fourier transforms at different times: immediately after scission (T = 1×10-22 s) and at several intervals afterwards (until T = 50×10-22 s). The momentum distributions corresponding to these Fourier transforms are then estimated. The evolution of these distributions in time provides an insight into the separation of the neutron from the fissioning system and asymptotically gives the kinetic energy spectrum of that particular neutron.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).