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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 3, Pages 439–450 (Mi tmf1479)  
Explicitly solvable model of Mössbauer scattering

B. S. Pavlov, A. A. Pokrovski

V. A. Fock Institute of Physics, Saint-Petersburg State University
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Abstract: An explicitly solvable model of Mössbauer scattering of $\gamma$ rays by a nucleus bound in a harmonic-oscillator potential is constructed. The probability of elastic scattering, which is proportional to the Debye–Waller factor, is calculated in the framework of the explicitly solvable scattering problem. It is assumed that the rms deviation $\Delta x$ of the nucleus and the photon wave numberk satisfy $k\Delta x\ll E_\gamma /E_\phi$, where $E_\gamma$ and $E_\phi$ are typical energy levels of the photon and the oscillator states.
Received: 03.06.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 95, Issue 3, Pages 700–707
DOI: https://doi.org/10.1007/BF01017516
Bibliographic databases:
Language: Russian
Citation: B. S. Pavlov, A. A. Pokrovski, “Explicitly solvable model of Mössbauer scattering”, TMF, 95:3 (1993), 439–450; Theoret. and Math. Phys., 95:3 (1993), 700–707
Citation in format AMSBIB
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\by B.~S.~Pavlov, A.~A.~Pokrovski
\paper Explicitly solvable model of M\"ossbauer scattering
\jour TMF
\yr 1993
\vol 95
\issue 3
\pages 439--450
\mathnet{http://mi.mathnet.ru/tmf1479}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243407}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 3
\pages 700--707
\crossref{https://doi.org/10.1007/BF01017516}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993ML77300004}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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