Some Properties of the Shift and Penetration Factors in Nuclear Reactions

F. W. Prosser, Jr; L. C. Biedenharn

doi:10.1103/PhysRev.109.413

Access by Xinjiang University

Some Properties of the Shift and Penetration Factors in Nuclear Reactions

F. W. Prosser, Jr.^* and L. C. Biedenharn

The Rice Institute, Houston, Texas

^*Now at The University of Kansas, Lawrence, Kansas.

PDF

Phys. Rev. 109, 413 – Published 15 January, 1958

DOI: https://doi.org/10.1103/PhysRev.109.413

Abstract

The shift and penetration factors are shown to have certain monotonic properties in the variables $ρ$ , $η$ , and $l$ for both positive and negative energies. The behavior of the shift factor in the neighborhood of zero energy (threshold) is discussed.

References (15)

E. P. Wigner, Phys. Rev. 70, 15 (1946) Proc. Am. Phil. Soc. 90, 27 (1946) Phys. Rev. 70, 606 (1946) E. P. Wigner and L. Eisenbud, 72, 29 (1947)
Omitted endnote
R. G. Thomas, Phys. Rev. 88, 1109 (1952)
Bonner, Prosser, and Slattery, Bull. Am. Phys. Soc. Ser. II, 2, 180 (1957)
J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley and Sons, Inc., New York, 1952), Chap. VIII
E. P. Wigner, Phys. Rev. 73, 1002 (1948)
G. Breit, Phys. Rev. 107, 1612 (1957)
J. M. Blatt and L. C. Biedenharn, Revs. Modern Phys. 24, 267 (1952)
R. G. Thomas, Phys. Rev. 81, 148 (1951) ibid.88, 1109 (1952) ibid.97, 224 (1955)
R. G. ThomasTables of Coulomb Wave Functions, National Bureau of Standards Applied Mathematics Series 17 (U. S. Government Printing Office, Washington, 1952), Vol. 1
Omitted endnote
Omitted endnote
Erdelyi, Magnus, Oberhettinger, and Tricomi, Higher Transcendental Functions (McGraw-Hill Book Company, Inc., New York, 1953), Vol. 1, Chap. VI Yost, Wheeler, and Breit, Phys. Rev. 49, 174 (1936) J. G. Beckerley, 67, 11 (1945)
Erdelyi, Magnus, Oberhettinger, and Tricomi, Higher Transcendental Functions (McGraw-Hill Book Company, Inc., New York, 1953), Vol. 1, p. 264
W. Magnus and F. Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics (Chelsea Publishing Company, New York, 1949), p. 91

[c1] E. P. Wigner, Phys. Rev. 70, 15 (1946) Proc. Am. Phil. Soc. 90, 27 (1946) Phys. Rev. 70, 606 (1946) E. P. Wigner and L. Eisenbud, 72, 29 (1947)

[c2] Omitted endnote

[c3] R. G. Thomas, Phys. Rev. 88, 1109 (1952)

[c4] Bonner, Prosser, and Slattery, Bull. Am. Phys. Soc. Ser. II, 2, 180 (1957)

[c5] J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley and Sons, Inc., New York, 1952), Chap. VIII

[c6] E. P. Wigner, Phys. Rev. 73, 1002 (1948)

[c7] G. Breit, Phys. Rev. 107, 1612 (1957)

[c8] J. M. Blatt and L. C. Biedenharn, Revs. Modern Phys. 24, 267 (1952)

[c9] R. G. Thomas, Phys. Rev. 81, 148 (1951) ibid.88, 1109 (1952) ibid.97, 224 (1955)

[c10] R. G. ThomasTables of Coulomb Wave Functions, National Bureau of Standards Applied Mathematics Series 17 (U. S. Government Printing Office, Washington, 1952), Vol. 1

[c11] Omitted endnote

[c12] Omitted endnote

[c13] Erdelyi, Magnus, Oberhettinger, and Tricomi, Higher Transcendental Functions (McGraw-Hill Book Company, Inc., New York, 1953), Vol. 1, Chap. VI Yost, Wheeler, and Breit, Phys. Rev. 49, 174 (1936) J. G. Beckerley, 67, 11 (1945)

[c14] Erdelyi, Magnus, Oberhettinger, and Tricomi, Higher Transcendental Functions (McGraw-Hill Book Company, Inc., New York, 1953), Vol. 1, p. 264

[c15] W. Magnus and F. Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics (Chelsea Publishing Company, New York, 1949), p. 91

Physical Review Journals Archive

Export citation

Export citation

Some Properties of the Shift and Penetration Factors in Nuclear Reactions

Abstract

References (15)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation