Perturbation of a lattice spectral band by a nearby resonance

Details Perturbation of a lattice spectral band by a nearby resonance Perturbation of a lattice spectral band by a nearby resonance

1999-09-29

arxiv.org/abs/cond-mat/9909414v2

J.Math.Phys. 42 (2001) 2490-2506

Physics

Condensed Matter

Materials Science

RevTeX, 2 figures within the file. In May 2000 the title changed and some minor corrections have been done

Scientific paper

10.1063/1.1371264

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.

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