Fourier-over-Spheroid shape parametrization applied to nuclear fission dynamics

Abstract

We propose a new, rapidly convergent, the so-called Fourier over Spheroid (FoS), shape parametrization to model fission of heavy nuclei. Four collective coordinates are used to characterize the shape of the fissioning system, being its elongation, left-right asymmetry, neck size, and non-axiality. The potential energy landscape is computed within the macroscopic-microscopic approach, on the top of which the multi-dimensional Langevin equation is solved to describe the dynamics. Charge equilibration at scission and de-excitation of the primary fragments after scission are further considered. The model gives access to a wide variety of observables, including fission fragments mass, charge, and kinetic energy yields, fragment mean N/Z and post-scission neutron multiplicities, and importantly, their correlations. The latter are crucial to unravel the complexity of the fission process. The parameters of the model were tuned to reproduce experimental observation from thermal neutron-induced fission of 235U, and next used to discuss the transition from the asymmetric to symmetric fission along the Fm isotopic chain.

arXiv comment15th pages, 18 figures

References in corpus (12)

• Theory of Nuclear Fission
• Nuclear-fission studies with relativistic secondary beams: analysis of fission channels
• Isotopic Yield Distributions of Transfer- and Fusion-Induced Fission from 238U+12C Reactions in Inverse Kinematics
• Fission dynamics at low excitation energy. 2
• From Asymmetric to Symmetric Fission in the Fermium Isotopes within the Time-Dependent GCM Formalism
• Correlated transitions in TKE and mass distributions of fission fragments described by 4-D Langevin equation
• A Method to Calculate Fission-Fragment Yields $Y(Z,N)$ versus Proton and Neutron Number in the Brownian Shape-Motion Model. Application to calculations of U and Pu charge yields
• Microscopic Calculation of Fission Product Yields with Particle Number Projection
• Correlation studies of fission fragment neutron multiplicities
• Mass Yields of Fission Fragment of Pt to Ra Isotopes
• Experimental evidence of the effect of nuclear shells on fission dissipation and time
• Fission Fragments Mass Yields of Actinide Nuclei

Cited by in corpus (4)

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• Suppression of genuine tripartition in heavy nuclei: A self-consistent perspective
• Iso-scalar liquid drop model