Role of Fragment Higher Static Deformations in the Cold Binary Fission of ${}^{252}$Cf

Abstract

We study the binary cold fission of ${}^{252}$Cf in the frame of a cluster model where the fragments are born to their respective ground states and interact via a double-folded potential with deformation effects taken into account up to multipolarity $\lambda =4$. The preformation factors were neglected. In the case when the fragments are assumed to be spherical or with ground state quadrupole deformation, the $Q$-value principle dictates the occurence of a narrow region around the double magic ${}^{132}$Sn, like in the case of cluster radioactivity. When the hexadecupole deformation is turned on, an entire mass-region of cold fission in the range 138 - 156 for the heavy fragment arise, in agreement with the experimental observations. This fact suggests that in the above mentioned mass-region, contrary to the usual cluster radioactivity where the daughter nucleus is always a neutron/proton (or both) closed shell or nearly closed shell spherical nucleus, the clusterization mechanism seems to be strongly influenced by the hexadecupole deformations rather than the $Q$-value.

10 pages, 12 figures

References in corpus (1)

• Neutronless ${}^{10}$be-Accompanied Ternary Fission of ${}^{252}$Cf}

Cited by in corpus (5)

• Microscopic description of Cf-252 cold fission yields
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• Reliability Conditions in Quadrature Algorithms
• Tin-accompanied and true ternary fission of ${}^{242}$Pu