Effects of finite excitation energy of environment on fast quantum tunneling

K. Hagino, N. Takigawa, J. R. Bennett, and D. M. Brink
Phys. Rev. C 51, 3190 – Published 1 June 1995
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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.

  • Received 31 October 1994

DOI:https://doi.org/10.1103/PhysRevC.51.3190

©1995 American Physical Society

Authors & Affiliations

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

  • Department of Physics, Tohoku University, 980-77 Sendai, Japan
  • Università degli Studi di Trento and European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT), Villa Tambosi, I-38050 Villazzano, Trento, Italy

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Issue

Vol. 51, Iss. 6 — June 1995

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