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Metastable states of a composite system tunneling through repulsive barriers. (English. Russian original) Zbl 1338.81411

Theor. Math. Phys. 186, No. 1, 21-40 (2016); translation from Teor. Mat. Fiz. 186, No. 1, 27-50 (2016).
Summary: We consider a method for solving the problem of quantum tunneling through repulsive potential barriers for a composite system consisting of several identical particles coupled via pair oscillator-type potentials in the oscillator symmetrized-coordinate representation. We confirm the efficiency of the proposed approach by calculating complex energy values and analyzing metastable states of composite systems of three, four, and five identical particles on a line, which leads to the effect of quantum transparency of the repulsive barriers.

MSC:

81V35 Nuclear physics
81U35 Inelastic and multichannel quantum scattering
81U10 \(n\)-body potential quantum scattering theory
81U30 Dispersion theory, dispersion relations arising in quantum theory
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)

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