Eur. Phys. J. A (2016) 52: 135
https://doi.org/10.1140/epja/i2016-16135-9

Regular Article - Theoretical Physics

Pre-scission configuration of the tri-nuclear system at spontaneous ternary fission of ²⁵²Cf

¹ BLTP, Joint Institute for Nuclear Research, Joliot-Curie 6, 141980, Dubna, Russia
² Institute of Nuclear Physics, Ulugbek, 100214, Tashkent, Uzbekistan
³ Inha University in Tashkent, 100170, Tashkent, Uzbekistan
⁴ Helmholtz-Zentrum Berlin, 14109, Berlin, Germany
⁵ Fachbereich Physik, Freie Universität, Berlin, Germany

^* e-mail: nasirov@jinr.ru

Received: 9 February 2016
Revised: 1 April 2016
Accepted: 17 April 2016
Published online: 23 May 2016

Abstract

The potential energy surface for the pre-scission configurations of tri-nuclear systems formed in the spontaneous ternary fission of ²⁵²Cf is calculated. The fission channel ⁷⁰Ni + ⁵⁰Ca + ¹³²Sn is chosen as one of the more probable channels of true ternary fission of ²⁵²Cf . A study of the collinear arrangement of the reaction products for true ternary fission is the aim of this work. The results are presented as a function of the relative distance R₁₂ between the centres of mass of ⁷⁰Ni and ¹³²Sn and the distance from the centre of mass of ⁵⁰Ca , which is perpendicular to R₁₂. The results show that only for a particular range of the R₁₂ values the collinear tripartion of the fissioning nucleus occurs.