Quantum-Mechanical Model of Mössbauer Line Narrowing

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Abstract
A model for Mössbauer radiation is developed which includes both radiation and lattice-relaxation processes. The model describes an initially excited nucleus in an excited lattice. Both radiation and relaxation phenomena are treated in lowest order, so that a quantum-mechanical solution is possible. It is found that under certain conditions, Mössbauer lines result which are narrower than the natural line, although line broadening is the more usual effect of lattice relaxation. The maximum narrowing in this approximation never exceeds 36% of the natural width.

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