Erratum: Fully relativistic form factor for Thomson scattering [Phys. Rev. E81, 036411 (2010)]

The characteristic parameters of a material relation to photon interactions such as: mass attenuation coefficient, effective atomic number, effective electron density are required to provide essential data in diverse works such as nuclear diagnostic and cancer radiotherapy, industrial irradiation, radiation dosimetry, radiation protection and shielding, analyzing of the concentration of elements and radioactive isotopes. In this paper, the theoretical models such as non-relativistic form factor (NRFF), relativistic form factor (RFF), and modified form factor (MFF) were used to calculate the ratio Rayleigh-Compton for elements with at gamma energy 59.5 keV. The results showed that there was a discrepancy between the theoretical modes at a high atomic number. The mean value of the Rayleigh-Compton ratio depends on the atomic number, which shows the quadratic function of the correlation coefficient R2 = 0.996 as well. Besides, the experimental system was set-up and measured for some targets such as aluminum, copper, and lead at a scattering angle 150o using 241Am source by Si(Li) detector to confirm the theoretical values. The preliminary result showed that there was a good agreement with experimental and theoretical results is lower than 20%. Further investigation will be measured by the samples for more detailed evaluation.

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Relativistic form factor in terms of wave functions of composite systems at rest

Theoretical and Mathematical Physics ◽

10.1007/bf01018681 ◽

1989 ◽

Vol 78 (2) ◽

pp. 162-167

Author(s):

A. N. Kvinikhidze ◽

B. A. Magradze ◽

A. M. Khvedelidze

Keyword(s):

Form Factor ◽

Wave Functions ◽

Relativistic Form ◽

Composite Systems ◽

Relativistic Form Factor

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Non-relativistic form factor program for compton scattering of gamma rays by bound electrons

Computer Physics Communications ◽

10.1016/0010-4655(76)90023-0 ◽

1976 ◽

Vol 11 (3) ◽

pp. 363-368 ◽

Cited By ~ 6

Author(s):

F. Smend ◽

M. Schumacher

Keyword(s):

Form Factor ◽

Compton Scattering ◽

Gamma Rays ◽

Relativistic Form ◽

Relativistic Form Factor ◽

Bound Electrons

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Effects of plasma dielectric properties on Thomson scattering of millimetre waves in tokamak plasmas

Journal of Plasma Physics ◽

10.1017/s0022377800014318 ◽

1989 ◽

Vol 42 (2) ◽

pp. 215-240 ◽

Cited By ~ 30

Author(s):

T. P. Hughes ◽

S. R. P. Smith

Keyword(s):

Form Factor ◽

Dielectric Properties ◽

Electron Plasma ◽

Thomson Scattering ◽

Magnetized Plasma ◽

Tokamak Plasmas ◽

Heterodyne Receiver ◽

Millimetre Waves ◽

Scattered Power ◽

Geometrical Form

Thomson scattering from a magnetized plasma is considered, taking into account the dielectric properties of the plasma. General results for the geometrical form factor are given in explicit form. The scattered power detectable by a heterodyne receiver is discussed and some numerical calculations are presented. The results are applied to the scattering of millimetre waves in tokamak plasmas near the electron-plasma and electron-cyclotron frequencies.

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THE ELASTIC SCATTERING OF Co60 γ-RAYS

Canadian Journal of Physics ◽

10.1139/p62-063 ◽

1962 ◽

Vol 40 (5) ◽

pp. 622-653 ◽

Cited By ~ 38

Author(s):

K. G. Standing ◽

J. V. Jovanovich

Keyword(s):

Form Factor ◽

Elastic Scattering ◽

Cross Section ◽

Cross Sections ◽

Thomson Scattering ◽

Special Method ◽

Knock Out ◽

Order Of Magnitude ◽

Γ Rays ◽

The Cross

Cross sections have been measured for 90° elastic scattering of Co60 γ-rays (1.33 and 1.17 Mev) from aluminum, copper, and tin. They agree with theoretical predictions for Rayleigh and nuclear Thomson scattering. A continuum between the Compton and the elastically scattered γ-rays interfered with the measurements for heavier elements, since it increased rapidly with Z.The continuum was investigated by observing the γ-rays scattered through 60° by thin gold foils. It was found to be produced directly by the γ-rays themselves, not by the electrons they knock out of the target atoms. The experimental cross section was compared with that expected for incoherent scattering from the bound atomic electrons. It agrees within a factor of 2 with the cross section given by the form factor approximation, although it is more than an order of magnitude larger than a modification of the form factor, which is based on comparison with elastic scattering calculations.The spectrum of elastically scattered γ-rays from lead was examined by a special method in order to reduce the contribution of the inelastic continuum; two photomultipliers faced a single scintillator and pulses from one photomultiplier were counted only when they corresponded to the largest pulses from the other. The cross section between 12° and 150° was found to be much lower than that of most previous measurements. It agrees with the calculated cross section for Rayleigh and nuclear Thomson scattering within the possible errors in the calculations. Therefore the measurements yield no evidence for the presence of Delbrück scattering, the upper limit on its intensity now being set primarily by the uncertainties in the theory.

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Polarization of 0.411, 0.662 and 1.25 MeV γ -rays elastically scattered by lead

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1958.0191 ◽

1958 ◽

Vol 247 (1250) ◽

pp. 375-380 ◽

Cited By ~ 11

Keyword(s):

Form Factor ◽

Elastic Scattering ◽

Compton Scattering ◽

Rayleigh Scattering ◽

Thomson Scattering ◽

Experimental Results ◽

Numerical Calculations ◽

Γ Rays

The polarization of 0.411, 0.662 and 1.25 MeV γ -rays elastically scattered by lead at 90° has been studied with a γ -ray polarimeter using Compton scattering as the analyzing process. At these energies and this angle the only processes contributing to elastic scattering are nuclear Thomson scattering and Rayleigh scattering. Since the intensity and polarization of the Thomson component are readily calculable, the measurements provide a check of theories of Rayleigh scattering. The experimental results contradict the predictions of the form factor calculations and agree with those of the refined numerical calculations of Brown & Mayers.

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