Landau-Zener Effect In The Time-Dependent Hartree-Fock-Bogoliubov Equations

Astronomy and Astrophysics – Astrophysics

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Hartree-Fock And Random-Phase Approximations, Protons And Neutrons, Coupled-Channel And Distorted-Wave Models

Scientific paper

If the Hartree-Fock-Bogoliubov 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 that the unpaired nucleon skips from one orbital to another. A new set of coupled channel equations based on the time dependent Hartree-Fock-Bogoliubov formalism is deduced. This system includes a mechanism similar to the Landau-Zener effect, allowing that the unpaired nucleon jumps from one level to another.

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