<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>K</mi></math></span>-Shell Photoelectric Cross Sections for the Fermi-Thomas Potential from 300 keV to 1.3 MeV

Harvey Hall; Edward C. Sullivan

doi:10.1103/PhysRev.152.4

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$K$ -Shell Photoelectric Cross Sections for the Fermi-Thomas Potential from 300 keV to 1.3 MeV

Harvey Hall

Edward C. Sullivan

Office of Manned Space Flight, National Aeronautics and Space Administration, Washington, D. C.

Goddard Space Flight Center, National Aeronautics and Space Administration, Greenbelt, Maryland

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Phys. Rev. 152, 4 – Published 2 December, 1966

DOI: https://doi.org/10.1103/PhysRev.152.4

Abstract

The relativistic photoelectric cross section for the two electrons of the $K$ shell has been computed using a numerical program. The four elements $Z = 26, 50, 84 and 92$ have been treated in the energy range of light quanta from 300 keV to 1.23 MeV. The results for the cross section are lower than for the unscreened Coulomb potential by an amount which ranges from approximately 7% at 354 keV, for $Z = 26$ , to 2.2% at 1.23 MeV, for $Z = 92$ .

References (14)

R. H. Pratt, R. D. Levee, R. L. Pexton, and W. Aron, Phys. Rev. 134, A898 (1964)
G. Rakavy and A. Ron, Phys. Letters 19, 207 (1965)
J. J. Matese and W. R. Johnson, Phys. Rev. 140, 1 (1965)
L. H. Thomas, Proc. Cambridge Phil. Soc. 23, 542 (1927)
E. Fermi, Z. Physik 48, 73 (1928)
A. Sommerfeld, Z. Physik 78, 283 (1932)
V. Busch and S. H. Caldwell, Phys. Rev. 38, 1898 (1931) S. Kobayashi, T. Matsukuma, S. Nagai, and K. Umeda [J. Phys. Soc. Japan 10, 759 (1955)]
H. R. Hulme, J. McDougall, R. A. Buckingham, and R. H. Fowler, Proc. Roy. Soc. (London) A149, 131 (1935)
W. Heitler, The Quantum Theory of Radiation (Oxford University Press, London, 1954), 3rd ed., p. 205
Harvey Hall, Rev. Mod. Phys. 8, 358 (1936)
[10] [10]
P. Henrici, Discrete Variable Methods in Ordinary Differential Equations (John Wiley & Sons, Inc., New York, 1962), p. 192
R. D. Hill, E. L. Church, and J. W. Mihelich, Rev. Sci. Instr. 23, 523 (1952)
W. Karzas, Rand Corporation (private communication)

[c1] R. H. Pratt, R. D. Levee, R. L. Pexton, and W. Aron, Phys. Rev. 134, A898 (1964)

[c2] G. Rakavy and A. Ron, Phys. Letters 19, 207 (1965)

[c3] J. J. Matese and W. R. Johnson, Phys. Rev. 140, 1 (1965)

[c4] L. H. Thomas, Proc. Cambridge Phil. Soc. 23, 542 (1927)

[c5] E. Fermi, Z. Physik 48, 73 (1928)

[c6] A. Sommerfeld, Z. Physik 78, 283 (1932)

[c7] V. Busch and S. H. Caldwell, Phys. Rev. 38, 1898 (1931) S. Kobayashi, T. Matsukuma, S. Nagai, and K. Umeda [J. Phys. Soc. Japan 10, 759 (1955)]

[c8] H. R. Hulme, J. McDougall, R. A. Buckingham, and R. H. Fowler, Proc. Roy. Soc. (London) A149, 131 (1935)

[c9] W. Heitler, The Quantum Theory of Radiation (Oxford University Press, London, 1954), 3rd ed., p. 205

[c10] Harvey Hall, Rev. Mod. Phys. 8, 358 (1936)

[c11] [10] [10]

[c12] P. Henrici, Discrete Variable Methods in Ordinary Differential Equations (John Wiley & Sons, Inc., New York, 1962), p. 192

[c13] R. D. Hill, E. L. Church, and J. W. Mihelich, Rev. Sci. Instr. 23, 523 (1952)

[c14] W. Karzas, Rand Corporation (private communication)

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$K$ -Shell Photoelectric Cross Sections for the Fermi-Thomas Potential from 300 keV to 1.3 MeV

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References (14)

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K-Shell Photoelectric Cross Sections for the Fermi-Thomas Potential from 300 keV to 1.3 MeV

Abstract

References (14)

$K$ -Shell Photoelectric Cross Sections for the Fermi-Thomas Potential from 300 keV to 1.3 MeV