2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134161We consider finite linear or cyclic crystalline structures with molecular cells having narrow pre-threshold nuclear resonance. We prove that if the real part of such a nuclear resonance lies within the energy band (the convex hull of the energy levels) of the crystalline structure arising of a separated molecular level, then there exist molecular crystalline states that decay exponentially in time and the decay rate $Γ_R^{(m)}$ of these states in the main order is described by the formula $Γ_R^{(m)}\cong 4\frac{\mathop{\rm Re} a}{Γ_R^{(n)}}$ where $a$ is the value of the residue of the molecular channel transfer function at the nuclear resonance point and $Γ_R^{(n)}$ is the nuclear resonance width.http://www1.jinr.ru/Pepan_letters/panl_1_2004/02_motov.pdfOther Condensed Mattertext