Resonant tunneling of a few-body cluster through repulsive barriers

Transmission of Clusters Consisting of a Few Identical Particles Through Barriers and Wells

“…The above goal is achieved using the appropriately chosen new symmetrized coordinates rather than the conventional Jacobi ones [5][6][7],…”

“…. , n is conserved, which significantly simplifies the construction of states, symmetric (or antisymmetric) with respect to the permutation of n particles [7,8], as compared to the Jacobi coordinates in the centre-of-mass reference frame [9]. However, the invariance of Eq.…”

“…were calculated using the two-step algorithm [7]. The solution of problem (2) in the symmetrised coordinates is sought in the form of expansion over the harmonic oscillator basis functions [5]…”

“…For a decade, the mechanism of quantum penetration of two bound particles through barriers and wells has attracted attention from both theoretical and experimental viewpoints in relation with such problems as near-surface quantum diffusion of molecules, fragmentation in producing neutron-rich light nuclei, heavy-ion collisions through multidimensional barriers, and the mechanism of ternary fission [1][2][3][4]. The generalisation of the two-particle model over quantum systems of n identical particles, considered in our earlier papers [5][6][7], is of great importance for the appropriate description of the above problems.…”

“…In this paper, we apply the approach proposed by us earlier [5][6][7] to the calculations of complex energy values of metastable states, and to the analysis of the shape and Feshbach resonances of composite systems of a few identical particles on a line, giving rise to quantum transparency of the repulsive barriers and resonance reflection from the wells.…”