2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221662For a system of spinless one-dimensional fermions, the non-vanishing short-range limit of two-body interaction is shown to induce the wave-function discontinuity. We prove the equivalence of this fermionic system and the bosonic particle system with two-body $δ$-function interaction with the reversed role of strong and weak couplings. KEYWORDS: one-dimensional system, $ε$-interaction, solvable many-body problem, exact bosonization4 pages ReVTeX 4 epsf figures included, new RefsQuantum PhysicsCondensed MatterExactly Solvable and Integrable SystemsNuclear Theorytext