Correlated states of interacting particles and problems of the Coulomb barrier transparency at low energies in nonstationary systems

Abstract

Premises for the formation of a correlated coherent state of particles in nonstationary quantum systems are considered. The relation between the correlation factor of particles and the probability of their passage through the potential barrier (including that in nuclear reactions) is analyzed. The optimal regime for parametric excitation of a harmonic oscillator is found, in which the asymptotic formation of the correlated state of particles takes place, the dispersion of their coordinates increases manifold, and the barrier transparency becomes many orders of magnitude higher at a low energy of interacting particles.

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Correspondence to V. I. Vysotskii.

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Original Russian Text © V.I. Vysotskii, S.V. Adamenko, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 5, pp. 23–31.

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Vysotskii, V.I., Adamenko, S.V. Correlated states of interacting particles and problems of the Coulomb barrier transparency at low energies in nonstationary systems. Tech. Phys. 55, 613–621 (2010). https://doi.org/10.1134/S106378421005004X

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Keywords

  • Correlate State
  • Tunnel Effect
  • Tunneling Probability
  • Heisenberg Uncertainty Relation
  • Uncorrelated State