Time Dependent Pairing Equations for Seniority One Nuclear Systems

TL;DR

This paper introduces new time-dependent pairing equations for seniority one nuclear systems that incorporate the Landau-Zener effect, allowing the unpaired nucleon to change orbitals during nuclear processes.

Contribution

It presents a novel set of equations extending the time dependent Hartree-Fock-Bogoliubov framework to include orbital changes of the unpaired nucleon, addressing a key limitation.

Findings

Successfully modeled 14C emission from 233Ra.

Extended Woods-Saxon potential for two-center systems.

Demonstrated the impact of the Landau-Zener effect in nuclear dynamics.

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.