Coulomb Scattering of Polarized Electrons

W. R. Johnson; T. A. Weber; C. J. Mullin

doi:10.1103/PhysRev.121.933

Access by Xinjiang University

Coulomb Scattering of Polarized Electrons

W. R. Johnson, T. A. Weber, and C. J. Mullin

University of Notre Dame, Notre Dame, Indiana

PDF

Phys. Rev. 121, 933 – Published 15 February, 1961

DOI: https://doi.org/10.1103/PhysRev.121.933

Abstract

An approximate analytical expression for the spin-dependent cross section for Coulomb scattering, valid to order ${(α Z)}^{4}$ , is developed. The development is based on a modification of the Sommerfeld-Maue wave function. The ${(α Z)}^{2}$ and ${(α Z)}^{3}$ terms in the resulting cross section are identical with the corresponding terms found by the second Born approximation. The ${(α Z)}^{4}$ term is verified by analytically summing the corresponding term in the Mott series. Graphs, comparing the approximate analytical expressions for both the cross section and asymmetry function with exact numerical results, are included.

References (22)

N. F. Mott, Proc. Roy. Soc. (London) A124, 425 (1929)
N. F. Mott, Proc. Roy. Soc. (London) A135, 429 (1932)
W. A. McKinley and H. Feshbach, Phys. Rev. 74, 1759 (1948)
R. H. Dalitz, Proc. Roy. Soc. (London) A206, 509 (1951)
R. R. Lewis, Phys. Rev. 102, 537 (1956)
H. Mitter and P. Urban, Acta Phys. Austriaca 7, 311 (1953)
J. A. Doggett and L. V. Spencer, Phys. Rev. 103, 1597 (1956)
H. A. Tolhoek, Revs. Modern Phys. 28, 277 (1956)
Noah Sherman, Phys. Rev. 103, 1601 (1956)
L. J. Tassie, Phys. Rev. 107, 1452 (1957)
F. Gürsey, Phys. Rev. 107, 1734 (1957)
W. R. Johnson and C. J. Mullin, Phys. Rev. 119, 1270 (1960)
A. Sommerfeld and A. W. Maue, Ann. Physik 22, 629 (1935)
H. A. Bethe and L. C. Maximon, Phys. Rev. 93, 768 (1954)
A. Sommerfeld, Atombau und Spektrallinien (F. Vieweg und Sohn, Braunschweig, 1939), Vol. II, p. 408
N. F. Mott, [2], p. 440
[12]
J. Meixner, Ann. Physik 29, 97 (1937)
A. Sommerfeld, [15], p. 503
A. SommerfeldLeonhardi Euleri Opera Omnia, edited by C. Boehm (B. G. Teubner, Basil, 1935), Ser. 1, Vol. 16, Sec. 2, p. 117
K. Mitchell [Phil. Mag. 40, 351 (1949)]
Dalitz, [4]

[c1] N. F. Mott, Proc. Roy. Soc. (London) A124, 425 (1929)

[c2] N. F. Mott, Proc. Roy. Soc. (London) A135, 429 (1932)

[c3] W. A. McKinley and H. Feshbach, Phys. Rev. 74, 1759 (1948)

[c4] R. H. Dalitz, Proc. Roy. Soc. (London) A206, 509 (1951)

[c5] R. R. Lewis, Phys. Rev. 102, 537 (1956)

[c6] H. Mitter and P. Urban, Acta Phys. Austriaca 7, 311 (1953)

[c7] J. A. Doggett and L. V. Spencer, Phys. Rev. 103, 1597 (1956)

[c8] H. A. Tolhoek, Revs. Modern Phys. 28, 277 (1956)

[c9] Noah Sherman, Phys. Rev. 103, 1601 (1956)

[c10] L. J. Tassie, Phys. Rev. 107, 1452 (1957)

[c11] F. Gürsey, Phys. Rev. 107, 1734 (1957)

[c12] W. R. Johnson and C. J. Mullin, Phys. Rev. 119, 1270 (1960)

[c13] A. Sommerfeld and A. W. Maue, Ann. Physik 22, 629 (1935)

[c14] H. A. Bethe and L. C. Maximon, Phys. Rev. 93, 768 (1954)

[c15] A. Sommerfeld, Atombau und Spektrallinien (F. Vieweg und Sohn, Braunschweig, 1939), Vol. II, p. 408

[c16] N. F. Mott, [2], p. 440

[c17] [12]

[c18] J. Meixner, Ann. Physik 29, 97 (1937)

[c19] A. Sommerfeld, [15], p. 503

[c20] A. SommerfeldLeonhardi Euleri Opera Omnia, edited by C. Boehm (B. G. Teubner, Basil, 1935), Ser. 1, Vol. 16, Sec. 2, p. 117

[c21] K. Mitchell [Phil. Mag. 40, 351 (1949)]

[c22] Dalitz, [4]

Physical Review Journals Archive

Export citation

Export citation

Coulomb Scattering of Polarized Electrons

Abstract

References (22)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation