Title: Determination of the mean fission lifetime by using the one-dimensional Langevin equation

Authors: A. Zerarka, K. Mahboub, V.G. Foester

Addresses: Departement de Physique theorique, Universite Med Khider, BP 145, Biskra 07000, Algeria. ' Departement de Physique theorique, Universite Med Khider, BP 145, Biskra 07000, Algeria. ' Departement de Physique theorique, Universite Med Khider, BP 145, Biskra 07000, Algeria

Abstract: This study focuses on the evaluation of the mean fission lifetime. We have used the dynamic equations of motion that contain the active forces (Coulomb + surface + rotational energies) and the nuclear viscosity. We suggest a new formalism to evaluate the mean deformation moment at the scission point. We have calculated the mean fission lifetime for the ²²⁰Th nucleus formed in the reaction ⁴⁰Ar + ¹⁸⁰Hf at E_lab = 180, 190, 216 and 249 MeV. The one-body dissipation coefficient and the reduced friction β = 40 × 10²¹ s^-1 are used to reproduce a variety of experimental results. The values obtained range from 5.82 × 10^-20 s to 14 × 10^-20 s.

Keywords: Langevin equation; one-body dissipation; mean fission lifetime; nuclear viscosity; equations of motion; nuclear fission; nuclear energy; nuclear power; nuclear science; nuclear technology.

DOI: 10.1504/IJNEST.2006.011717

International Journal of Nuclear Energy Science and Technology, 2006 Vol.2 No.4, pp.342 - 351

Published online: 19 Dec 2006 *

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