Multi-dimensional fission model with a complex absorbing potential

TL;DR

This paper introduces a complex absorbing potential in a two-dimensional quantum model to analyze spontaneous fission, comparing quantum and semi-classical methods for tunneling dynamics and resonance states.

Contribution

The study presents a novel approach combining complex absorbing potentials with quantum and semi-classical methods for multi-dimensional tunneling analysis.

Findings

Good agreement between quantum and semi-classical results for lifetime and tunneling path

Effective method for analyzing multi-dimensional quantum tunneling

Resonance states accurately determined using complex potentials

Abstract

We study the dynamics of multi-dimensional quantum tunneling by introducing a complex absorbing potential to a two-dimensional model for spontaneous fission. We fist diagonalize the Hamiltonian with the complex potential to determine a resonance state as well as its life-time. We then solve the time-dependent Schr\"odinger equation with such basis in order to investigate the tunneling path. We compare this method with the semi-classical method for multi-dimensional tunneling with imaginary time. A good agreement is found both for the life-time and for the tunneling path.