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

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.

9 pages, 10 eps figures

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Cited by in corpus (21)

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• Contribution of resonance tunneling of molecule to physical observables
• Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps
• Tunneling of two bosonic atoms from a one-dimensional anharmonic trap
• Multi-dimensional fission model with a complex absorbing potential
• Dynamics of a few interacting bosons escaping from an open well
• Capturing non-exponential dynamics in the presence of two decay channels
• Momentum correlations of a few ultra-cold bosons escaping from an open well
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• A microscopic model for spontaneous fission: validity of the adiabatic approximation
• Time-dependent Dirac equation applied to one-proton radioactive emission
• Supplemental note for "Two-fermion emission from spin-singlet and triplet resonances in one dimension"
• Two Rydberg-dressed atoms escaping from an open well
• Time-dependent method for many-body problems and its application to nuclear resonant systems
• Decay properties of unstable Tonks-Girardeau gases from a split trap
• Three-body model for an isoscalar spin-triplet neutron-proton pair in ${}^{102}\mathrm{Sb}$
• One-proton emission from the ${}_{\Lambda }^6$Li hypernucleus
• Tunneling of two interacting atoms from excited states
• Time-Dependent Generator Coordinate Method for Many-Particle Tunneling