The Antisymmetrical Interaction in Beta-Decay Theory

Charles L. Critchfield

doi:10.1103/PhysRev.63.417

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The Antisymmetrical Interaction in Beta-Decay Theory

Charles L. Critchfield^*

Research Laboratory of Physics, Harvard University, Cambridge, Massachusetts

^*Now at the Geophysical Laboratory, The Carnegie Institution of Washington, Washington, D. C.

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Phys. Rev. 63, 417 – Published 1 June, 1943

DOI: https://doi.org/10.1103/PhysRev.63.417

Abstract

Forms of the beta-decay interaction are sought which are totally symmetric and totally antisymmetric to the interchange of any two of the particles involved in the emission. It is found that there is no symmetric interaction and one antisymmetric. The antisymmetric interaction allows transitions without change of parity and with a change of nuclear spin of either 0 or ±1, including $0 \to 0$ . First forbidden transitions entail a change of parity and $Δ i = 0$ , $\pm 1 or \pm 2$ . Second forbidden transitions are characterized by $Δ i = \pm 2, \pm 3$ and no change in parity. The contributions of electron-neutrino states of definite angular momenta are presented explicitly as an aid in the study of the influence of the nucleus on the light particle waves. The influence of the Coulomb field is discussed.

References (14)

E. Fermi, Zeits, f. Physik 88, 161 (1934)
G. Gamow and E. Teller, Phys. Rev. 49, 895 (1936)
E. J. Konopinski and G. E. Uhlenbeck, Phys. Rev. 60, 308 (1941)
B. Van der Waerden, Göttingen Nachrichten (1929), p. 100
W. H. Furry, Phys. Rev. 51, 125 (1936) ibid.54, 56 (1938)
W. Pauli, Inst. H. Poincaré Ann. 6, 130 (1936)
E. Wigner, Gruppentheorie und ihre anwendung auf die quantenmechanik der atomspektren (Braunschweig, F. Vieweg & sohn, 1931), p. 99
C. Critchfield and E. Wigner, Phys. Rev. 60, 412 (1941)
E. Wigner, Phys. Rev. 56, 526 (1939) B. Grönblom, 56, 508 (1939)
Rabi, Millman, Kusch, and Zacharias, Phys. Rev. 55, 526 (1939) Kusch, Millman, and Rabi, 57, 765 (1940)
P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford, 1935), p. 265
E. Wigner, Göttingen Nachrichten (1932), p. 546
The Physical Review 61 (1942): C. L. Critchfield, p. R. E. Marshak, p. E. Greuling249 (light nuclei only); 431, and , p. 568
J. L. Lawson, Phys. Rev. 56, 131 (1939)

[c1] E. Fermi, Zeits, f. Physik 88, 161 (1934)

[c2] G. Gamow and E. Teller, Phys. Rev. 49, 895 (1936)

[c3] E. J. Konopinski and G. E. Uhlenbeck, Phys. Rev. 60, 308 (1941)

[c4] B. Van der Waerden, Göttingen Nachrichten (1929), p. 100

[c5] W. H. Furry, Phys. Rev. 51, 125 (1936) ibid.54, 56 (1938)

[c6] W. Pauli, Inst. H. Poincaré Ann. 6, 130 (1936)

[c7] E. Wigner, Gruppentheorie und ihre anwendung auf die quantenmechanik der atomspektren (Braunschweig, F. Vieweg & sohn, 1931), p. 99

[c8] C. Critchfield and E. Wigner, Phys. Rev. 60, 412 (1941)

[c9] E. Wigner, Phys. Rev. 56, 526 (1939) B. Grönblom, 56, 508 (1939)

[c10] Rabi, Millman, Kusch, and Zacharias, Phys. Rev. 55, 526 (1939) Kusch, Millman, and Rabi, 57, 765 (1940)

[c11] P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford, 1935), p. 265

[c12] E. Wigner, Göttingen Nachrichten (1932), p. 546

[c13] The Physical Review 61 (1942): C. L. Critchfield, p. R. E. Marshak, p. E. Greuling249 (light nuclei only); 431, and , p. 568

[c14] J. L. Lawson, Phys. Rev. 56, 131 (1939)

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The Antisymmetrical Interaction in Beta-Decay Theory

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