Relativistic Corrections in High Energy <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>n</mi><mo>−</mo><mi>p</mi></math></span> Scattering

Armand Siegel

doi:10.1103/PhysRev.82.194

Access by Xinjiang University

Relativistic Corrections in High Energy $n - p$ Scattering

Armand Siegel^*

Massachusetts Institute of Technology, Cambridge, Massachusetts

^*During the writing of this paper the author was at Worcester Polytechnic Institute, Worcester, Massachusetts. Present address: Boston University, Boston, Massachusetts.

PDF

Phys. Rev. 82, 194 – Published 15 April, 1951

DOI: https://doi.org/10.1103/PhysRev.82.194

Abstract

A method, due to Breit, of generalizing phenomenological nuclear interactions to give a relativistically invariant cross section in the first Born approximation, has been extended to apply to a broad class of nonrelativistic interactions; namely, those containing isotopic spin operators and any kind of Pauli spin and space dependence. A procedure is given for obtaining an equivalent Pauli operator for the Dirac operators so obtained, which reduces the calculation of the relativistic cross section (in the first Born approximation), formally, to a nonrelativistic calculation. The cross section is then obtained in a form in which the relativistic corrections are explicitly split off from the nonrelativistic terms.

The method is applied to the symmetric-exchange interaction with tensor forces. The form of the relativistic interaction is not uniquely determined by that of the nonrelativistic one, but a number of the more conservative possibilities are investigated. The corrections to the 90-Mev $n - p$ scattering thus obtained are analyzed in relation to the data. The possibility of exploiting these corrections to adjust the theory to experiment is discussed.

References (16)

Hadley, Kelley, Leith, Segrè, Wiegand, and York, Phys. Rev. 75, 351 (1949)
R. S. Christian and E. W. Hart, Phys. Rev. 77, 441 (1950)
E. Gerjuoy, Phys. Rev. 77, 568 (1950)
H. P. Noyes, Phys. Rev. 78, 90 (1950)
K. M. Watson and J. V. Lepore, Phys. Rev. 76, 1157 (1949)
Omitted endnote
G. Breit, Phys. Rev. 53, 153 (1938)
L. Rosenfeld, Theory of Nuclear Forces (Interscience Publishers, Inc., New York, 1949)
Omitted endnote
A Møller [Z. Physik 70, 686 (1931)]
[K. M. Case and A. Pais, Phys. Rev. 80, 203 (1950)]
W. Rarita and J. Schwinger, Phys. Rev. 59, 436 (1941)
Omitted endnote
Ashkin and Wu, Phys. Rev. 73, 973 (1948)
Omitted endnote
Bethe and Camac, Phys. Rev. 73, 191 (1948)

[c1] Hadley, Kelley, Leith, Segrè, Wiegand, and York, Phys. Rev. 75, 351 (1949)

[c2] R. S. Christian and E. W. Hart, Phys. Rev. 77, 441 (1950)

[c3] E. Gerjuoy, Phys. Rev. 77, 568 (1950)

[c4] H. P. Noyes, Phys. Rev. 78, 90 (1950)

[c5] K. M. Watson and J. V. Lepore, Phys. Rev. 76, 1157 (1949)

[c6] Omitted endnote

[c7] G. Breit, Phys. Rev. 53, 153 (1938)

[c8] L. Rosenfeld, Theory of Nuclear Forces (Interscience Publishers, Inc., New York, 1949)

[c9] Omitted endnote

[c10] A Møller [Z. Physik 70, 686 (1931)]

[c11] [K. M. Case and A. Pais, Phys. Rev. 80, 203 (1950)]

[c12] W. Rarita and J. Schwinger, Phys. Rev. 59, 436 (1941)

[c13] Omitted endnote

[c14] Ashkin and Wu, Phys. Rev. 73, 973 (1948)

[c15] Omitted endnote

[c16] Bethe and Camac, Phys. Rev. 73, 191 (1948)

Physical Review Journals Archive

Export citation

Export citation

Relativistic Corrections in High Energy $n - p$ Scattering

Abstract

References (16)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Relativistic Corrections in High Energy n−p Scattering

Abstract

References (16)

Relativistic Corrections in High Energy $n - p$ Scattering