Perturbation of finite-lattice spectral levels by nearby nuclear resonances

Details Perturbation of finite-lattice spectral levels by nearby nuclear resonances Perturbation of finite-lattice spectral levels by nearby nuclear resonances

2004-12-25

arxiv.org/abs/cond-mat/0412687v1

Particles and Nuclei, Letters 1 [118] (2004), 15--24

Physics

Condensed Matter

Other Condensed Matter

http://www1.jinr.ru/Pepan_letters/panl_1_2004/02_motov.pdf

Scientific paper

We 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 $\Gamma_R^{(m)}$ of these states in the main order is described by the formula $\Gamma_R^{(m)}\cong 4\frac{\mathop{\rm Re} a}{\Gamma_R^{(n)}}$ where $a$ is the value of the residue of the molecular channel transfer function at the nuclear resonance point and $\Gamma_R^{(n)}$ is the nuclear resonance width.

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