Computational Study of Scission Neutrons in Low-Energy Fission:Stationary and Time-Dependent Approaches  

作　　者：M.Rizea N.Carjan 

机构地区：[1]National Institute of Physics and Nuclear Engineering,"Horia Hulubei",PO Box MG-6,Bucharest,Romania [2]Centre d’Etudes Nucl´eaires de Bordeaux-Gradignan,UMR 5797,CNRS/IN2P3-Universit´e Bordeaux 1,BP 120,33175 Gradignan Cedex,France

出　　处：《Communications in Computational Physics》2011年第4期917-936,共20页计算物理通讯（英文）

基　　金：supported by the contracts PNCDI2-Parteneriate 71-112 and PN09370102 of the Romanian Ministry of Education and Research.

摘　　要：The emission of scission neutrons from fissioning nuclei is of high practical interest.To study this process we have used the sudden approximation and also a more realistic approach that takes into account the scission dynamics.Numerically,this implies the solution of the bi-dimensional Schr¨odinger equation,both stationary and time-dependent.To describe axially symmetric extremely deformed nuclear shapes,we have used the Cassini parametrization.The Hamiltonian is discretized by using finite difference approximations of the derivatives.The main computational challenges are the solution of algebraic eigenvalue problems and of linear systems with large sparse matrices.We have employed appropriate procedures(Arnoldi and bi-conjugate gradients).The numerical solutions have been used to evaluate physical quantities,like the number of emitted neutrons per scission event,the primary fragments’excitation energy and the distribution of the emission points.

关 键 词：Scission neutrons FISSION bi-dimensional Schrodinger equation STATIONARY timedependent non-standard finite differences 

分 类 号：O57[理学—粒子物理与原子核物理]