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Quantum Calculation of Coulomb Excitation. I
Phys. Rev. 100, 376 – Published 1 October, 1955
DOI: https://doi.org/10.1103/PhysRev.100.376
Abstract
A complete quantum mechanical treatment for Coulomb excitation is presented. Angular correlations as well as total cross section are developed. The reduction to a form suitable for computation of the radial Coulomb integrals which are needed to evaluate the transition matrix elements is discussed in detail. The relation of the quantum mechanical treatment to the classical treatment is established, and it is shown that the results may be presented as the classical result plus a quantum mechanical correction.
See Also
Quantum Calculation of Coulomb Excitation. II. Quadrupole Excitation: Numerical Results
Phys. Rev. 101, 662 (1956)
References (32)
- Lark-Horowitz, Risser, and Smith, Phys. Rev. 55, 878 (1939) C. McClelland and C. Goodman, 91, 760 (1953) T. Huus and C. Zupančič, Kgl. Danske Videnskab. Selskab, Mat-fys. Medd. 28, No. 1 (1953) G. M. Temmer and N. P. Heydenburg, Phys. Rev. 93, 351, 906 (1954)
- L. Landau, Physik Z. U.S.S.R. 1, 88 (1932) V. Weisskopf, Phys. Rev. 53, 1018 (1938) E. Guth, 68, 280 (1945) R. Huby and H. C. Newns, Proc. Phys. Soc. (London) A64, 619 (1951) C. Mullin and E. Guth, Phys. Rev. 82, 141 (1951) K. A. Ter-Martirosyan, J. Exptl. Theoret. Phys. (U.S.S.R.) 22, 284 (1952)
- A. Bohr and B. R. Mottelson, Kgl. Danske Videnskab. Selskab, Mat-fys. Medd. 27, No. 16 (1953)
- N. Bohr, Kgl. Danske Videnskab. Selskab, Mat-fys. Medd. 18, No. 8 (1948)
- K. A. Ter-Martirosyan [J. Exptl. Theoret. Phys. (U.S.S.R.) 22, 284 (1952)] K. Alder and A. Winther, CERN/T/KA-AW-1, October, 1954 (unpublished)
- F. K. McGowan and P. H. Stelson, Oak Ridge National Laboratory Report, ORNL 1798, December, 1954 (unpublished) Phys. Rev. 99, 112 (1955)
- K. Alder and A. Winther, Phys. Rev. 91, 1578 (1953)
- P. H. Stelson and F. K. McGowan, Phys. Rev. 98, 249(A) (1955) F. K. McGowan and P. H. Stelson, 99, 127 (1955)
- G. Breit and P. B. Daitch, Phys. Rev. 96, 1447 (1954) Daitch, Lazarus, Hull, Benedict, and Breit, 96, 1449 (1954) K. Alder and A. Winther, 96, 237 (1954)
- L. C. Biedenharn and C. M. Class, Phys. Rev. 98, 691 (1955)
- L. C. Biedenharn and M. E. Rose, Oak Ridge National Laboratory Report, ORNL 1789, September 1954 (unpublished)
- A. Sommerfeld, Wellenmechanik (F. Ungar Publishing Company, New York, 1947)
- Rose, Biedenharn, and Arfken, Phys. Rev. 85, 5 (1952)
- Biedenharn, Gluckstern, Hull, and Breit, Phys. Rev. 97, 542 (1955)
- W. Magnus and F. Oberhettinger, Special Functions of Mathematical Physics (Chelsea Publishing Company, New York, 1949), p. 35
- H. A. Kramers, Phil. Mag. 46, 836 (1923)
- J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley and Sons, Inc., New York, 1952), Appendix B
- S. P. Lloyd, Phys. Rev. 81, 161 (1951)
- E. P. Wigner, Gruppentheorie (Friedrich Vieweg und Sohn, Braunschweig, 1931)
- L. C. Biedenharn and M. E. Rose, Revs. Modern Phys. 25, 729 (1953) S. P. Lloyd, thesis, University of Illinois, 1951 (unpublished)
- Biedenharn and Rose[11] Biedenharn and Class[10] Alder and Winther[5,7] [10] [7]
- S. D. Drell and K. Huang, Phys. Rev. 99, 686 (1955) Bull. Am. Phys. Soc. 30, No. 3, 28 (1955)
- K. Alder and A. Winther, Phys. Rev. 96, 237 (1954)
- K. AlderA. WintherTables of Coulomb Wave Functions, U. S. National Bureau of Standards, Applied Mathematics Series 17 (U. S. Government Printing Office, Washington, D. C., 1952)
- Erdelyi, Magnus, Oberhettinger, and Tricomi, Higher Transcendental Functions (McGraw-Hill Book Company, Inc., New York, 1953), Vol. 1, p. 272
Omitted endnote
- P. Appell and M. J. Kampe de Feriet, Fonctions hypergeometriques et hyperspheriques (Gauthier-Villars, Paris, 1926), p. 43
- P. Appell and M. J. Kampe de Feriet ([27])
- Sommerfeld, Kramer[12], Appendix 16, 's ([16])
- E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge University Press, London, 1945), p. 244
Omitted endnote
- H. C. Corben and J. Schwinger, Phys. Rev. 58, 967 (1940)