Resonant tunneling of a few-body cluster through repulsive barriers |
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Authors: | A A Gusev S I Vinitsky O Chuluunbaatar L L Hai V L Derbov A Gó?d? P M Krassovitskiy |
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Institution: | 1. Joint Institute for Nuclear Research, Dubna, Russia 2. National University of Mongolia, Ulaanbaatar, Mongolia 3. Saratov State University, Saratov, Russia 4. Department of Mathematical Physics, Institute of Physics, University of Maria Curie-Sk?odowska, Lublin, Poland 5. Institute of Nuclear Physics, Almaty, Kazakhstan
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Abstract: | A model for quantum tunnelling of a cluster comprised of A identical particles, interacting via oscillator-type potential, through short-range repulsive barrier potentials is introduced for the first time in symmetrized-coordinate representation and numerically studied in the s-wave approximation. A constructive method for symmetrizing or antisymmetrizing the (A ? 1)-dimensional harmonic oscillator basis functions in the new symmetrized coordinates with respect to permutations of coordinates of A identical particles is described. The effect of quantum transparency, manifesting itself in nonmonotonic resonance-type dependence of the transmission coefficient upon the energy of the particles, their number A = 2, 3, 4 and the type of their symmetry, is analyzed. It is shown that the total transmission coefficient demonstrates the resonance behavior due to the existence of barrier quasi-stationary states, embedded in the continuum. |
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