Superallowed Beta Transitions in the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi><mo>−</mo><mi>Z</mi><mo>=</mo><mn>3</mn><mn></mn></math></span> Series

Eugene Feenberg

doi:10.1103/PhysRev.99.71

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Superallowed Beta Transitions in the $N - Z = 3$ Series

Eugene Feenberg

Wayman Crow Laboratory, Washington University, St. Louis, Missouri

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Phys. Rev. 99, 71 – Published 1 July, 1955

DOI: https://doi.org/10.1103/PhysRev.99.71

Abstract

A number of fast beta transitions have been found in the $N - Z = 3$ series of radioactive nuclides. King has suggested that some of these transitions (for $A < 27$ ) occur within the lowest [4...421] or [4...432] supermultiplet; hence are superallowed (or favored). Matrix elements of ${| \int σ |}^{2}$ within the [21] and [32] supermultiplets are computed with the aid of two-way displacement operators on the eigenvalues of $T_{3}$ , $S_{z}$ , and $Y_{3 z}$ . In the application to ${}_{8}O_{11}$ the only spin assignments consistent with an $LS$ coupling interpretation of the fast transition are $I_{i} = \frac{5}{2}$ , $I^{*} = \frac{3}{2} (S^{*} = \frac{1}{2})$ . These are the value favored by the available experimental information. The $jj$ coupling value of ${| \int σ |}^{2}$ for the ${}_{8}O_{11}$ transition is too large by a factor of five.

References (8)

R. W. King, Bull. Am. Phys. Soc. No. 7, 20 (1954) preceding paper [Phys. Rev. 99, 67 (1955)] E. P. Wigner, Proceedings of the International Conference on Theoretical Physics, Kyoto and Tokyo, September, 1953 (Science Council of Japan, Tokyo, 1954)
E. P. Wigner, Phys. Rev. 56, 519 (1939)
E. P. Wigner, Phys. Rev. 51, 106 and 948 (1937)
E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1935), Chap. 3 E. Feenberg and G. E. Pake, Quantum Theory of Angular Momentum (Addison-Wesley Press, Cambridge, 1953), Chap. 5
M. Bolsterli and E. Feenberg, Phys. Rev. 97, 736 (1955)
G. Racah, Phys. Rev. 62, 438 (1942) ibid.63, 367 (1943)
Jones, Phillips, Johnson, and Wilkinson, Phys. Rev. 96, 547 (1954)
E. Feenberg, The Shell Theory of the Nucleus (Princeton University Press, Princeton, 1955), Chap. 8

[c1] R. W. King, Bull. Am. Phys. Soc. No. 7, 20 (1954) preceding paper [Phys. Rev. 99, 67 (1955)] E. P. Wigner, Proceedings of the International Conference on Theoretical Physics, Kyoto and Tokyo, September, 1953 (Science Council of Japan, Tokyo, 1954)

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

[c3] E. P. Wigner, Phys. Rev. 51, 106 and 948 (1937)

[c4] E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1935), Chap. 3 E. Feenberg and G. E. Pake, Quantum Theory of Angular Momentum (Addison-Wesley Press, Cambridge, 1953), Chap. 5

[c5] M. Bolsterli and E. Feenberg, Phys. Rev. 97, 736 (1955)

[c6] G. Racah, Phys. Rev. 62, 438 (1942) ibid.63, 367 (1943)

[c7] Jones, Phillips, Johnson, and Wilkinson, Phys. Rev. 96, 547 (1954)

[c8] E. Feenberg, The Shell Theory of the Nucleus (Princeton University Press, Princeton, 1955), Chap. 8

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Superallowed Beta Transitions in the $N - Z = 3$ Series

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Superallowed Beta Transitions in the N−Z=3 Series

Abstract

References (8)

Superallowed Beta Transitions in the $N - Z = 3$ Series