Nuclear Resonant Diffraction of Synchrotron Radiation: Interplay between the Anisotropy of Polarizability of Nuclei and the Asymmetry of Diffraction Geometry

The possibilities of the further development of synchrotron Mössbauer radiation sources are considered. The pure nuclear diffraction of synchrotron radiation in a resonant nuclear matrix, in our case, in an iron borate ( 57 FeBO 3 ) crystal is a physical basis for the generation of synchrotron Mössbauer radiation. The coherent fluorescence of nuclei excited by synchrotron radiation results in the formation of a highly directional beam of polarized resonant gamma rays, which is used in unique fields of Mössbauer spectroscopy. The pure nuclear diffraction of gamma rays in the iron borate crystal near the Néel point, where the crystal has a strongly anisotropic nuclear polarizability, has been numerically simulated. The simulation has demonstrated that the intensity of synchrotron Mössbauer radiation sources can be significantly increased (for existing characteristics of accelerator centers) by using asymmetric conditions of Bragg diffraction and the appropriate polarization of radiation that excites nuclei. The results obtained in this work can be applied to develop high-resolution spectroscopy on synchrotron sources.