Perturbation of a lattice spectral band by a nearby resonance

TL;DR

This paper investigates how a narrow nuclear resonance near a molecular spectral band can significantly enhance fusion probability, especially when arranged in lattice structures, due to the resonance's proximity to the band.

Contribution

It introduces a soluble model demonstrating the mechanism of fusion enhancement via lattice spectral band perturbation caused by a nearby nuclear resonance.

Findings

Enhancement of fusion probability is proportional to the inverse width of the nuclear resonance.

Narrow nuclear resonances within the molecular band lead to significant spectral perturbations.

Lattice arrangements amplify the resonance effects on spectral bands.

Abstract

A soluble model of weakly coupled "molecular" and "nuclear" Hamiltonians is studied in order to exhibit explicitly the mechanism leading to the enhancement of fusion probability in case of a narrow near-threshold nuclear resonance. We, further, consider molecular cells of this type being arranged in lattice structures. It is shown that if the real part of the narrow nuclear resonance lies within the molecular band generated by the intercellular interaction, an enhancement, proportional to the inverse width of the nuclear resonance, is to be expected.