Multidimensionally-constrained relativistic mean-field study of spontaneous fission: Coupling between shape and pairing degrees of freedom

Mean field theory Spontaneous fission
DOI: 10.1103/physrevc.93.044315 Publication Date: 2016-04-15T18:08:36Z
ABSTRACT
Studies of fission dynamics, based on nuclear energy density functionals, have shown that the coupling between shape and pairing degrees freedom has a pronounced effect nonperturbative collective inertia and, therefore, dynamic (least-action) spontaneous paths half-lives. Collective potentials cranking tensors are calculated using multidimensionally-constrained relativistic mean-field (MDC-RMF) model. Pairing correlations treated in BCS approximation separable force finite range. fluctuations included as variable constraint particle-number dispersion. Fission determined with programming method by minimizing action multidimensional spaces. The dynamics $^{264}$Fm $^{250}$Fm explored. paths, integrals corresponding half-lives computed three-dimensional space coordinates, functional DD-PC1 range, compared results obtained without fluctuations. Results for also discussed relation those recently HFB inclusion coordinates favors axially symmetric shapes along path fissioning system, amplifies traverses barriers, significantly reduces integral shortens SF half-life.
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