Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc..972..526r&link_type=abstract
EXOTIC NUCLEI AND NUCLEAR/PARTICLE ASTROPHYSICS (II): Proceedings of the Carpathian Summer School of Physics 2007. AIP Conferen
Astronomy and Astrophysics
Astrophysics
Numerical Approximation And Analysis, Neutron-Induced Fission, Solutions Of Wave Equations: Bound States, Finite-Difference Methods, Shell Model
Scientific paper
We have considered a problem related to nuclear fission, namely the emission of scission neutrons. To study this process we have used the sudden approximation and also a dynamical approach. Numerically, this implies the solution of the Schrödinger equation, both stationary and time-dependent. To describe deformed nuclear shapes, we have used a model based on cylindrical coordinates. The Hamiltonian is discretized by using finite difference approximations of the derivatives. The eigenstates of the two-dimensional stationary Schrödinger equation are obtained as solutions of an algebraic eigenvalue problem, using an appropriate procedure (Arnoldi). In the sudden approach, the physical characteristics of the phenomenon are obtained from the wavefunctions before and after scission. In the more realistic evolutional (diabatic) model, the initial wavefunctions are propagated in time, solving the temporal Schrödinger equation by a Crank-Nicolson scheme.
Carjan N.
Rizea M.
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