2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162814We demonstrate that virtual excitations of higher radial modes in an atomic Bose gas in a tightly confining waveguide result in effective three-body collisions that violate integrability in this quasi-one-dimensional quantum system and give rise to thermalization. The estimated thermalization rates are consistent with recent experimental results in quasi-1D dynamics of ultracold atoms.4 pages, 3 figures, revtex4Other Condensed Mattertext