Abstract

Time-dependent valence neutron wave functions were calculated for nucleus-nucleus collisions 6He + 197Au, 18O + 58Ni, 48Ca + 18O, 40,48Ca + 238U. Probabilities of the neutron transfer and near-barrier population of two-center levels were calculated. The energy dependence of the neutron transfer cross section in the 6He + 197Au reaction has been explained.

Highlights

  • The numerical solving of the time-dependent Schrödinger equation (TDSE) provides new possibilities for theoretical study of transfer reactions and the first capture stage of fusion reactions [1]

  • For the description of transfer reactions and the first capture stage of fusion reactions we used the approximation of the independent external neutrons

  • The two-component spinor wave function of each neutron changes according to the time-dependent Schrödinger equation (TDSE) with the spin-orbital interaction iħ

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Summary

Introduction

The numerical solving of the time-dependent Schrödinger equation (TDSE) provides new possibilities for theoretical study of transfer reactions and the first capture stage of fusion reactions [1]. In this study the spin-orbital interaction [2], two-center states [3,4,5,6], the Pauli’s exclusion principle [7] and the shell structure of deformed nuclei [8, 9] were taken into consideration

The solving of a time-dependent Schrödinger equation
Neutron transfers in reactions with a deformed nucleus 238U
Conclusions

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