Time-dependent approach to many-particle tunneling in one-dimension

TL;DR

This paper uses a time-dependent quantum approach to study many-particle tunneling in a one-dimensional three-body system, revealing how pairing correlations influence two-proton decay probabilities.

Contribution

It introduces a time-dependent method to analyze many-particle tunneling and demonstrates the impact of pairing correlations on decay processes in a simplified model.

Findings

Decay width follows exponential decay law after sufficient time.

Pairing correlation enhances the probability of simultaneous diproton decay.

Time evolution of two-particle density distribution shows correlation effects.

Abstract

Employing the time-dependent approach, we investigate a quantum tunneling decay of many-particle systems. We apply it to a one-dimensional three-body problem with a heavy core nucleus and two valence protons. We calculate the decay width for two-proton emission from the survival probability, which well obeys the exponential decay-law after a sufficient time. The effect of the correlation between the two emitted protons is also studied by observing the time evolution of the two-particle density distribution. It is shown that the pairing correlation significantly enhances the probability for the simultaneous diproton decay.