Origin of the narrow, single peak in the fission-fragment mass distribution for ${}^{258}$Fm

Abstract

We discuss the origin of the narrowness of the single peak at mass-symmetric division in the fragment mass-yield curve for spontaneous fission of ${}^{258}$Fm. For this purpose, we employ the macroscopic-microscopic model, and calculate a potential-energy curve at the mass-symmetric compact scission configuration, as a function of the fragment mass number, which is obtained from the single-particle wave-function densities. In the calculations, we minimize total energies by varying the deformations of the two fragments, with constraints on the mass quadrupole moment and keeping the neck radius zero, as a function of mass asymmetry. Using the obtained potential, we solve the one-dimensional Schrödinger equation with a microscopic coordinate-dependent inertial mass to calculate the fragment mass-yield curve. The calculated mass yield, expressed in terms of the microscopic mass density, is consistent with the extremely narrow experimental mass distribution.

arXiv comment6 pages, 7 figures

References in corpus (5)

• Nuclear Ground-State Masses and Deformations
• Selfconsistent calculations of fission barriers in the Fm region
• Five-Dimensional Fission-Barrier Calulations from Se-70 to Cf-252
• Structure properties of ${}^{226}$Th and ${}^{256,258,260}$Fm fission fragments: mean field analysis with the Gogny force
• Fission modes of 256Fm and 258Fm in a microscopic approach

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