Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mce.biophys.msu.ru/archive/doc62605/eng.pdf Дата изменения: Mon Oct 1 22:39:22 2012 Дата индексирования: Mon Oct 1 22:39:22 2012 Кодировка: Поисковые слова: neutron

MATHEMATICAL MODELLING OF NEUTRON TRANSFERS AT NUCLEAR REACTIONS WITH ACCOUNTING OF SPIN-ORBIT INTERACTION Samarin K.V. Chuvash State University, Physical and mathematical faculty, Dep. of theoretical and experimental physics, Russia, 428024,. Cheboksary, Mira pr., 29, 123, ph. (8352) 63-98-55, E-mail: animator@cheb.ru The difference schema for numerical solution of a time-depended system of two SchrЖdinger equationses with the operator of a spin-orbit interaction for a two-component spinor wave function h2 r r r ih 1 = - + V (r ) - b1 [ (V ) p ] 1 . (1) 2 t 2 2m is offered on the basis of a split method for a time-depended SchrЖdinger equations [1]. The computer simulation of wave function changes of an external neutron with a minimum projection of the full moment to an internuclear axis and probabilities of its transfer is executed at head-on collisions of 40Ca and 96Zr nuclei. The areas of large values of a full probability density for three times are showed in a fig. 1. Thus, the results of [2] about primary transfer up to barrier distances of neutrons with a minimum module of a projection of the moment on an internuclear axis are verified.

Fig. 1. The probability density for external neutrons of 96Zr with a moment projection to an internuclear axis = 1 2 at collision with 40. The course of time corresponds to direction from left to right. References 1. Riley M.E., Ritchie . Numerical time-dependent ShrЖdinger description of chargeexchange collisions. // Phys. Rev. A, v. 59, 1999, P. 3544-3547. 2. Greiner W. et al. Sub-barrier fusion of neutron-rich nuclei and its astrophysical consequences// Phys. Rev. C, 2007. V. 75, 035809. P. 1-11