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arXiv · 2006.06944

Time-Dependent Generator Coordinate Method for Many-Particle Tunneling

N. Hasegawa·K. Hagino·Y. Tanimura
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Abstract

It has been known that the time-dependent Hartree-Fock (TDHF) method, or the time-dependent density functional theory (TDDFT), fails to describe many-body quantum tunneling. We overcome this problem by superposing a few time-dependent Slater determinants with the time-dependent generator coordinate method (TDGCM). We apply this method to scattering of two $\alpha$ particles in one dimension, and demonstrate that the TDGCM method yields a finite tunneling probability even at energies below the Coulomb barrier, at which the tunneling probability is exactly zero in the TDHF. This is the first case in which a many-particle tunneling is simulated with a microscopic real-time approach.

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N. Hasegawa, K. Hagino, Y. Tanimura. 2020-06-12. Time-Dependent Generator Coordinate Method for Many-Particle Tunneling. https://arxiv.org/abs/2006.06944

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