Semiclassical approach to nuclear gamma resonance in crystals
A.V. Stepanov a
Yu.M. Tsipenyuk b
a Institute for Nuclear Research, Russian Academy of Sciences, prosp. 60-letiya Oktyabrya 7a, Moscow, 117312, Russian Federation
b Kapitza Institute of Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117334, Russian Federation
The emission of phonons produced under the absorption or emission of a γ quantum (or the scattering of an electron or a neutron) by an atomic nucleus in a crystal lattice is a Poisson process from the probability point of view. This approach enables, in particular, an expression for the Mössbauer effect probability to be derived in a simple and transparent manner without the cumbersome mathematical (quantum-mechanical) computations being involved.