Time-dependent generator coordinate method for many-particle tunneling

N. Hasegawa; K. Hagino; Y. Tanimura

doi:10.1016/j.physletb.2020.135693

Time-dependent generator coordinate method for many-particle tunneling

N. Hasegawa, K. Hagino, Y. Tanimura

SCI - Physics

Research output: Contribution to journal › Article › peer-review

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 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.

Original language	English
Article number	135693
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	808
DOIs	https://doi.org/10.1016/j.physletb.2020.135693
Publication status	Published - 2020 Sep 10

Keywords

Density functional theory
Fission
Fusion
Nuclear reactions
Quantum tunneling

ASJC Scopus subject areas

Nuclear and High Energy Physics

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@article{6bde39badff5434994eccf431a082af1,

title = "Time-dependent generator coordinate method for many-particle tunneling",

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 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.",

keywords = "Density functional theory, Fission, Fusion, Nuclear reactions, Quantum tunneling",

author = "N. Hasegawa and K. Hagino and Y. Tanimura",

note = "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 . ",

year = "2020",

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day = "10",

doi = "10.1016/j.physletb.2020.135693",

language = "English",

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journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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T1 - Time-dependent generator coordinate method for many-particle tunneling

AU - Hasegawa, N.

AU - Hagino, K.

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 .

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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DO - 10.1016/j.physletb.2020.135693

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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

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