### Abstract

The differential cross section for the incoherent scattering of 662-keV gamma rays by the K-shell electrons of tin, tantalum, and lead was determined by experiment. The scattered photons were selected in coincidence with accompanying K x rays from the scatterer foil, using the NaI(Tl) scintillation detectors and the slow-fast coincidence method. The cross section dKd was compared with that predicted by the Klein-Nishina formula, dFd, at scattering angles 20°, 35°, 50°, 65°, and 100°. The experimental results show that for all cases with these scatterer elements the cross-section ratio dKdF is less than unity for small scattering angles and approaches zero as the angle decreases to zero, as predicted by nonrelativistic calculation. For large angles, this ratio is greater than unity and at 100°it is found to be equal to about 1.2 for tin, 1.3 for tantalum, and 1.5 for lead. The experimental approximate dependence of the cross-section ratio on the binding energy of the struck K-shell electrons was also obtained for various gamma-ray scattering angles. On the basis of certain assumptions an attempt was made to calculate theoretical values to be compared with the experimental results for small and large scattering angles. The calculated values indicate the general behavior of the dependence of the ratio on the scattering angle.

Original language | English |
---|---|

Journal | Physical Review |

Volume | 140 |

Issue number | 3A |

DOIs | |

Publication status | Published - 1965 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review*,

*140*(3A). https://doi.org/10.1103/PhysRev.140.A806

**Incoherent scattering of gamma rays by K-shell electrons.** / Shimizu, Sakae; Nakayama, Yasuyuki; Mukoyama, T.

Research output: Contribution to journal › Article

*Physical Review*, vol. 140, no. 3A. https://doi.org/10.1103/PhysRev.140.A806

}

TY - JOUR

T1 - Incoherent scattering of gamma rays by K-shell electrons

AU - Shimizu, Sakae

AU - Nakayama, Yasuyuki

AU - Mukoyama, T.

PY - 1965

Y1 - 1965

N2 - The differential cross section for the incoherent scattering of 662-keV gamma rays by the K-shell electrons of tin, tantalum, and lead was determined by experiment. The scattered photons were selected in coincidence with accompanying K x rays from the scatterer foil, using the NaI(Tl) scintillation detectors and the slow-fast coincidence method. The cross section dKd was compared with that predicted by the Klein-Nishina formula, dFd, at scattering angles 20°, 35°, 50°, 65°, and 100°. The experimental results show that for all cases with these scatterer elements the cross-section ratio dKdF is less than unity for small scattering angles and approaches zero as the angle decreases to zero, as predicted by nonrelativistic calculation. For large angles, this ratio is greater than unity and at 100°it is found to be equal to about 1.2 for tin, 1.3 for tantalum, and 1.5 for lead. The experimental approximate dependence of the cross-section ratio on the binding energy of the struck K-shell electrons was also obtained for various gamma-ray scattering angles. On the basis of certain assumptions an attempt was made to calculate theoretical values to be compared with the experimental results for small and large scattering angles. The calculated values indicate the general behavior of the dependence of the ratio on the scattering angle.

AB - The differential cross section for the incoherent scattering of 662-keV gamma rays by the K-shell electrons of tin, tantalum, and lead was determined by experiment. The scattered photons were selected in coincidence with accompanying K x rays from the scatterer foil, using the NaI(Tl) scintillation detectors and the slow-fast coincidence method. The cross section dKd was compared with that predicted by the Klein-Nishina formula, dFd, at scattering angles 20°, 35°, 50°, 65°, and 100°. The experimental results show that for all cases with these scatterer elements the cross-section ratio dKdF is less than unity for small scattering angles and approaches zero as the angle decreases to zero, as predicted by nonrelativistic calculation. For large angles, this ratio is greater than unity and at 100°it is found to be equal to about 1.2 for tin, 1.3 for tantalum, and 1.5 for lead. The experimental approximate dependence of the cross-section ratio on the binding energy of the struck K-shell electrons was also obtained for various gamma-ray scattering angles. On the basis of certain assumptions an attempt was made to calculate theoretical values to be compared with the experimental results for small and large scattering angles. The calculated values indicate the general behavior of the dependence of the ratio on the scattering angle.

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U2 - 10.1103/PhysRev.140.A806

DO - 10.1103/PhysRev.140.A806

M3 - Article

VL - 140

JO - Physical Review

JF - Physical Review

SN - 0031-899X

IS - 3A

ER -