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

By employing the time-dependent approach, we investigate a quantum tunneling decay of many-particle systems. We apply it to a schematic one-dimensional three-body model 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.