Elastic scattering of $\sf{59.54}$ -keV $\sf{\gamma}$ -rays in elements with $\sf{22 \leq {Z} \leq {92}}$ at momentum transfer $\sf{0.4 \leq {x} \leq 4.7~{\AA}^{\sf -1}}

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Vol. 55; no. 1; pp. 23 - 33
• Main Authors: Kumar, S., Sharma, V., Shahi, J. S., Mehta, D., Singh, N.
• Format: Journal Article
• Language: English
• Published: 01.10.2009
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/e2009-00208-4

Differential cross sections for elastic scattering of the 59.54 keV $\gamma $-rays in elements with $22 \leq Z \leq 92$ have been measured over the angular range 10${\circ}$-160${\circ}$ corresponding to the momentum transfer $0.4 \leq x \leq 4.7$ Aa(-1). The measurements at forward and backward angles were performed using the (241)Am radioactive point-source, target and the Ge detectors in the transmission and reflection arrangements, respectively. The measured differential scattering cross sections are compared with those based on the form-factor (FF) formalism and state-of-the-art S-matrix calculations to differentiate between their relative efficacies and to check angular-dependence of the anomalous scattering factors (ASF) incorporated as correction to the modified form-factor (MF). The S-matrix values exhibit agreement with the measured data at backward angles and differences $\sim $10% at forward angles. The scattering cross sections based on the MF including ASF's are in general lower at various angles by up to 20% for medium- and high-Z elements. The observed deviations being higher at the forward angles infer possibility of angular-dependence of ASF's.