Effects of finite excitation energy of environment on fast quantum tunneling

K. Hagino, N. Takigawa, J. R. Bennett, D. M. Brink

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

Quantum tunneling under the influence of an environment with nearly degenerate spectrum is considered. We first give a general derivation of the zero point motion formula in the sudden tunneling limit. The effects of a finite excitation energy of the environment are then considered by a perturbation method. Examples of linear oscillator coupling and rotational coupling show that the finite excitation energy can be represented by a dissipation factor and reduces the tunneling probability estimated in the limit of sudden tunneling. These examples clearly show that the applicability of the sudden tunneling approximation is governed by the details of the coupling as well as the relative time scales of the tunneling and the environmental degrees of freedom. We discuss some applications to heavy-ion fusion reactions.

Original languageEnglish
Pages (from-to)3190-3200
Number of pages11
JournalPhysical Review C
Volume51
Issue number6
DOIs
Publication statusPublished - 1995

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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