TY - JOUR
T1 - Time-dependent generator coordinate method for many-particle tunneling
AU - Hasegawa, N.
AU - Hagino, Kouichi
AU - Tanimura, Y.
N1 - Funding Information:
We thank D. Lacroix, D. Regnier, J. Randrup and A. Ohnishi for useful discussions. We are grateful to the Yukawa Institute for Theoretical Physics (YITP), Kyoto University. Stimulated discussions during the YITP international molecular-type workshop “Nuclear Fission Dynamics 2019” were useful to complete this work. This work was supported in part by the Graduate Program on Physics for the Universe at Tohoku University , and in part by JSPS KAKENHI Grant Number JP19K03861 .
Publisher Copyright:
© 2020 The Author(s)
PY - 2020/9/10
Y1 - 2020/9/10
N2 - 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 α 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.
AB - 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 α 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.
KW - Density functional theory
KW - Fission
KW - Fusion
KW - Nuclear reactions
KW - Quantum tunneling
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U2 - 10.1016/j.physletb.2020.135693
DO - 10.1016/j.physletb.2020.135693
M3 - Article
AN - SCOPUS:85089425537
VL - 808
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
M1 - 135693
ER -