Journal of Experimental and Theoretical Physics

, Volume 114, Issue 2, pp 243–252

Formation and application of correlated states in nonstationary systems at low energies of interacting particles

  • V. I. Vysotskii
  • M. V. Vysotskyy
  • S. V. Adamenko
Nuclei, Particles, Fields, Gravitation, and Astrophysics

DOI: 10.1134/S1063776112010189

Cite this article as:
Vysotskii, V.I., Vysotskyy, M.V. & Adamenko, S.V. J. Exp. Theor. Phys. (2012) 114: 243. doi:10.1134/S1063776112010189

Abstract

We consider prerequisites and investigate some optimal methods for the formation of a correlated coherent state of interacting particles in nonstationary systems. We study the influence of the degree of particle correlation on the probability of their passage through the Coulomb barrier for the realization of nuclear reactions at low energies. For such processes, the tunneling probability and, accordingly, the probability of nuclear reactions can grow by many orders of magnitude (in particular, the barrier transparency increases from Dr = 0 ≈ 10−42 for an uncorrelated state to D|r| = 0.98 ≈ 0.1 at a correlation coefficient |r| ≈ 0.98). The formation of a correlated particle state is considered in detail for different types of monotonic decrease in the frequency of a harmonic oscillator with the particle located in its parabolic field. For the first time, we have considered the peculiarities and investigated the efficiency of the creation of a correlated state under a periodic action on a harmonic oscillator. This method is shown to lead to rapid formation of a strongly correlated particle state that provides an almost complete clearing of the potential barrier even for a narrow range of oscillator frequency variations.

Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • V. I. Vysotskii
    • 1
    • 2
  • M. V. Vysotskyy
    • 1
  • S. V. Adamenko
    • 2
  1. 1.Shevchenko Kiev National UniversityKievUkraine
  2. 2.Electrodynamic Laboratory “Proton-21,”KievUkraine