Quantum mechanical theory of the interference pattern of reference and object waves using scattering processes without and with recoil : Nuclear emission holography

The interference pattern eventually leading to nuclear emission holography results from the interference of radiation, produced by an excited source nucleus, that goes directly to a detector and radiation that is first resonantly scattered by neighboring identical nuclei in the ground state before g...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2005-08, Vol.72 (6), p.064119.1-064119.13, Article 064119
Main Authors: ODEURS, J, COUSSEMENT, R, GHEYSEN, S
Format: Article
Language:English
Subjects:
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Condensed matter: electronic structure, electrical, magnetic, and optical properties
EMISSION
Exact sciences and technology
EXCITED STATES
FLUCTUATIONS
GAMMA RADIATION
GROUND STATES
HOLOGRAPHY
INTERFERENCE
Magnetic resonances and relaxations in condensed matter, mössbauer effect
MOESSBAUER EFFECT
Mössbauer effect
other γ-ray spectroscopy
NUCLEI
Physics
QUANTUM MECHANICS
RECOILS
SCATTERING
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Summary:The interference pattern eventually leading to nuclear emission holography results from the interference of radiation, produced by an excited source nucleus, that goes directly to a detector and radiation that is first resonantly scattered by neighboring identical nuclei in the ground state before going to the detector. The interference between these two processes gives rise to fluctuations in the radiated intensity as a function of the emission angle, giving information about the surrounding of the emitting nucleus. The quantum mechanical theory of the interference pattern using {gamma}-radiation is developed in frequency domain. It is shown that if the wavelengths of the relevant vibrational modes, which are excited due to the recoil of nuclei, are large compared with the relative distances of the absorber nuclei, with respect to the source nucleus, processes without as well as with recoil can give a contribution to the interference pattern. For nuclei that are situated at large distances from the source nucleus, only processes without recoil have to be considered.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.72.064119