Formation and application of correlated states in nonstationary systems at low energies of interacting particles |
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Authors: | V I Vysotskii M V Vysotskyy S V Adamenko |
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Institution: | 1.Shevchenko Kiev National University,Kiev,Ukraine;2.Electrodynamic Laboratory “Proton-21,”,Kiev,Ukraine |
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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 D
r = 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. |
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