The Beta-Decay of the Triton

John M. Blatt

doi:10.1103/PhysRev.89.86

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The Beta-Decay of the Triton

John M. Blatt

University of Illinois, Urbana, Illinois

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Phys. Rev. 89, 86 – Published 1 January, 1953

DOI: https://doi.org/10.1103/PhysRev.89.86

Abstract

A general formula is derived for the beta-decay matrix elements in the decay of a nucleus into its mirror nucleus. This formula is specialized to the decay of $H^{3}$ . Under the assumption of charge independence of nuclear forces, it is shown that the value ${(\int σ)}^{2} = 3$ computed on the basis of a pure ${}^{2}S_{\frac{1}{2}}$ ground state is an upper limit for the true value of this matrix element, provided only that the ${}^{2}S_{\frac{1}{2}}$ state is present with a probability of at least 25 percent.

References (20)

E. P. Wigner, as quoted in White, Delsasso, Fox, and Creutz, Phys. Rev. 56, 512 (1939)
E. P. Wigner, Phys. Rev. 56, 519 (1939)
E. J. Konopinski, Revs. Modern Phys. 15, 209 (1943)
G. Gamow and E. Teller, Phys. Rev. 49, 895 (1936)
E. P. Wigner, Phys. Rev. 51, 106 (1937)
G. L. Trigg, Phys. Rev. 86, 506 (1952)
A. M. Feingold, thesis, Princeton University (1952) (unpublished)
E. P. Wigner, Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren (Vieweg and Son, Braunschweig, 1931, reprinted by Edwards Brothers, Ann Arbor, Michigan, 1944)
E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1935)
E. P. Wigner, Gött Nachr. 31, 546 (1932)
G. Racah, Phys. Rev. 62, 438 (1942)
Omitted endnote
E. Gerjuoy and J. S. Schwinger, Phys. Rev. 61, 138 (1942)
Omitted endnote
E. Feenberg [6] [6] Professor Feenberg private communication
Hornyak, Lauritsen, Morrison, and Fowler, Revs. Modern Phys. 22, 291 (1950)
R. Nataf and R. Bouchez, Phys. Rev. 87, 155 (1952) R. Bouchez and R. Nataf, Compt. rend. 234, 86 (1952) O. Kofoed-Hansen and A. Winther, Phys. Rev. 86, 428 (1952) unpublished work by the same authors
Omitted endnote
B. L. Van der Waerden, Moderne Algebra (Julius Springer, Berlin, 1940) reprinted by F. Ungar Publishing Company, New York (1943)
H. Weyl, The Theory of Groups and Quantum Mechanics (Methuen and Company, London, 1931)

[c1] E. P. Wigner, as quoted in White, Delsasso, Fox, and Creutz, Phys. Rev. 56, 512 (1939)

[c2] E. P. Wigner, Phys. Rev. 56, 519 (1939)

[c3] E. J. Konopinski, Revs. Modern Phys. 15, 209 (1943)

[c4] G. Gamow and E. Teller, Phys. Rev. 49, 895 (1936)

[c5] E. P. Wigner, Phys. Rev. 51, 106 (1937)

[c6] G. L. Trigg, Phys. Rev. 86, 506 (1952)

[c7] A. M. Feingold, thesis, Princeton University (1952) (unpublished)

[c8] E. P. Wigner, Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren (Vieweg and Son, Braunschweig, 1931, reprinted by Edwards Brothers, Ann Arbor, Michigan, 1944)

[c9] E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1935)

[c10] E. P. Wigner, Gött Nachr. 31, 546 (1932)

[c11] G. Racah, Phys. Rev. 62, 438 (1942)

[c12] Omitted endnote

[c13] E. Gerjuoy and J. S. Schwinger, Phys. Rev. 61, 138 (1942)

[c14] Omitted endnote

[c15] E. Feenberg [6] [6] Professor Feenberg private communication

[c16] Hornyak, Lauritsen, Morrison, and Fowler, Revs. Modern Phys. 22, 291 (1950)

[c17] R. Nataf and R. Bouchez, Phys. Rev. 87, 155 (1952) R. Bouchez and R. Nataf, Compt. rend. 234, 86 (1952) O. Kofoed-Hansen and A. Winther, Phys. Rev. 86, 428 (1952) unpublished work by the same authors

[c18] Omitted endnote

[c19] B. L. Van der Waerden, Moderne Algebra (Julius Springer, Berlin, 1940) reprinted by F. Ungar Publishing Company, New York (1943)

[c20] H. Weyl, The Theory of Groups and Quantum Mechanics (Methuen and Company, London, 1931)

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