Toward a unified description of isotopic fragment properties in spontaneous and fusion-induced fission within a 4D dynamical Langevin model

Abstract

Spontaneous fission of ${}^{252}\mathrm{Cf}$ and fusion-induced fission of ${}^{250}\mathrm{Cf}$ are investigated within a multidimensional Langevin model. The potential-energy surface is calculated in the macroscopic-microscopic Lublin-Strasbourg drop (LSD) $+$ Yukawa-folded approach using the four-dimensional (4D) Fourier-over-spheroid shape parametrization. The dynamical evolution described by the Langevin equation is coupled to neutron evaporation, thereby allowing for the possibility of multichance fission. Charge equilibration and excitation-energy sharing between the fragments emerging at scission are evaluated, and their deexcitation is finally computed. The correlation between various observables, particularly the isotopic properties of the fragments, is discussed and compared with the experiment whenever available. The theoretical predictions are generally in good agreement with the data.