Abstract
The spontaneous fission lifetimes have been studied microscopically by minimizing the collective action integral in a two-dimensional collective space of quadrupole moments (Q20 ,Q 22) representing elongation and triaxiality. The microscopic collective potential and inertia tensor are obtained by solving the self-consistent Hartree- Fock-Bogoliubov (HFB) equations with the Skyrme energy density functional and mixed pairing interaction. The mass tensor is computed within the perturbative Adiabatic Time- Dependent HFB (ATDHFB) approach in the cranking approximation. The dynamic fission trajectories have been obtained by minimizing the collective action using two different numerical techniques. The values of spontaneous fission lifetimes obtained in this way are compared with the static results.
Highlights
The spontaneous fission of a nucleus is a many-body quantum tunneling in a multi-dimensional space of nuclear collective coordinates
The mass tensor is computed within the perturbative Adiabatic TimeDependent HFB (ATDHFB) approach in the cranking approximation
Spontaneous fission lifetimes have been studied within a dynamic approach based on the minimization of the collective action in a two-dimensional collective space of elongation and triaxiality
Summary
The spontaneous fission of a nucleus is a many-body quantum tunneling in a multi-dimensional space of nuclear collective coordinates To explore this large-amplitude collective motion (LACM) microscopically, we employ the ATDHFB theory that provides a consistent theoretical framework to study LACM [1]. In this approach, the collective nuclear dynamics is considered to be much slower than the single particle motion of individual nucleons. The collective nuclear dynamics is considered to be much slower than the single particle motion of individual nucleons This approximation is fulfilled for spontaneous fission where excitation energy of the system is small compared to the fission barrier height [1, 2].
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