Time Dependent Pairing Equations for Seniority One Nuclear Systems

Abstract

When the time dependent Hartree-Fock-Bogoliubov intrinsic equations of motion are solved in the case of seniority one nuclear systems, the unpaired nucleon remains on the same orbital. The blocking effect hinders the possibility to skip from one orbital to another. This unpleasant feature is by-passed with a new set of pairing time dependent equations that allows the possibility that the unpaired nucleon changes its single-particle level. These equations generalize the time dependent Hartree-Fock-Bogoliubov equations of motion by including the Landau-Zener effect. The derivation of these new equations is presented in details. These equations are applied in the case of a superasymmetric fission process, that is, in order to explain the fine structure the 14C emission from 233Ra. A new version of the Woods-Saxon model extended for two-center potentials is used in this context.

12 pages, 6 figures

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Cited by in corpus (10)

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• Microscopic description of cluster radioactivity in actinide nuclei
• Theory of Nuclear Fission
• Energy partition in low energy fission
• New dynamical pair breaking effect
• Microscopic description of Cf-252 cold fission yields
• Cranking mass parameters for fission
• Microscopic description of the odd-even effect in cold fission
• Pairing gaps and Fermi energies at scission for 296Lv alpha-decay
• Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle