Transmission of clusters consisting of a few identical particles through barriers and wells

The problem of quantum transmission through potential barriers and wells is studied for a composite system consisting of a few identical particles coupled by pair oscillator potentials in the new symmetrised-coordinate representation. A closed-channel method for solving the relevant boundary value problem is applied. We confirm the efficiency of the proposed approach by calculating the complex energy values of metastable states and analysing the shape and Feshbach resonances in systems of identical particles on a line, which give rise to quantum transparency of the repulsive barriers and the resonance reflection from the wells.