Matrix Elements in Superallowed Transitions

Mark Bolsterli; Eugene Feenberg

doi:10.1103/PhysRev.97.736

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Matrix Elements in Superallowed Transitions

Mark Bolsterli^* and Eugene Feenberg

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

^*Shell fellow 1952-1954; now National Science Foundation pre-doctoral fellow.

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Phys. Rev. 97, 736 – Published 1 February, 1955

DOI: https://doi.org/10.1103/PhysRev.97.736

Abstract

The nuclear matrix element for superallowed transitions between two states of an isobaric spin multiplet can be expressed in terms of a diagonal matrix element of the spin operator difference $S_{n} - S_{p}$ . Known theoretical results on the nuclear matrix element in image transitions are summarized and the methods which have proved useful in the study of image transitions are extended to superallowed transitions within the lowest $T = 1$ isobaric spin multiplet in the $4 n$ series.

Experimental results indicate the actual occurrence of such transitions in ${Na}^{20}$ , ${Al}^{24}$ , $P^{28}$ , ${Cl}^{32}$ and ${Sc}^{40}$ .

References (25)

N. W. Glass and J. R. Richardson, Phys. Rev. 93, 942 (1954)
Glass, Jensen, and Richardson, Phys. Rev. 90, 320 (1953)
Brackon, Henrikson, Martin, and Foster, Can. J. Phys. 32, 223 (1954)
A. C. Birge, Phys. Rev. 85, 753 (1952)
L. W. Alverez, Phys. Rev. 80, 519 (1950)
M. Bolsterli and E. Feenberg, Phys. Rev. 95, 612 (1954)
E. Feenberg, The Shell Structure of the Nucleus (Princeton University Press, Princeton, 1954)
G. L. Trigg, Phys. Rev. 86, 506 (1952)
O. Kofoed-Hansen and A. Winther, Phys. Rev. 86, 428 (1952)
Wu, Rustad, Perez-Mendez, and Lidofsky, Phys. Rev. 87, 1140 (1952)
R. Nataf and R. Bouchez, Compt. rend. 234, 86 (1952) Phys. Rev. 87, 155 (1952)
J. B. Gerhart, Phys. Rev. 95, 288 (1954) R. Sherr and J. B. Gerhart, 91, 909 (1953) J. R. Penning and F. H. Schmidt, 94, 779 (1954)
L. A. Radicati, Proc. Phys. Soc. (London) A66, 139 (1953)
E. Feenberg and G. E. Pake, Notes on the Quantum Theory of Angular Momentum (Addison-Wesley Press, Inc., Cambridge, 1953)
E. P. Wigner, Phys. Rev. 56, 519 (1939)
J. P. Davidson, Phys. Rev. 85, 432 (1952)
A. Winther, Physica 18, 1079 (1952)
R. G. Sachs, Phys. Rev. 69, 611 (1946)
H. Primakoff, Phys. Rev. 72, 118 (1947)
G. Breit and R. M. Thaler, Phys. Rev. 89, 1177 (1953)
M. G. Mayer, Indiana Conference on Beta Spectroscopy and Nuclear Structure, 1953 (unpublished)
R. L. Pease and H. Feshbach, Phys. Rev. 88, 948 (1952)
J. M. Blatt, Phys. Rev. 89, 86 (1953)
O. H. Turner, Australian J. Sci. Research 6, 380 (1953)
Sheline, Johnson, Bell, Davis, and McGowan, Phys. Rev. 94, 1642 (1954)

[c1] N. W. Glass and J. R. Richardson, Phys. Rev. 93, 942 (1954)

[c2] Glass, Jensen, and Richardson, Phys. Rev. 90, 320 (1953)

[c3] Brackon, Henrikson, Martin, and Foster, Can. J. Phys. 32, 223 (1954)

[c4] A. C. Birge, Phys. Rev. 85, 753 (1952)

[c5] L. W. Alverez, Phys. Rev. 80, 519 (1950)

[c6] M. Bolsterli and E. Feenberg, Phys. Rev. 95, 612 (1954)

[c7] E. Feenberg, The Shell Structure of the Nucleus (Princeton University Press, Princeton, 1954)

[c8] G. L. Trigg, Phys. Rev. 86, 506 (1952)

[c9] O. Kofoed-Hansen and A. Winther, Phys. Rev. 86, 428 (1952)

[c10] Wu, Rustad, Perez-Mendez, and Lidofsky, Phys. Rev. 87, 1140 (1952)

[c11] R. Nataf and R. Bouchez, Compt. rend. 234, 86 (1952) Phys. Rev. 87, 155 (1952)

[c12] J. B. Gerhart, Phys. Rev. 95, 288 (1954) R. Sherr and J. B. Gerhart, 91, 909 (1953) J. R. Penning and F. H. Schmidt, 94, 779 (1954)

[c13] L. A. Radicati, Proc. Phys. Soc. (London) A66, 139 (1953)

[c14] E. Feenberg and G. E. Pake, Notes on the Quantum Theory of Angular Momentum (Addison-Wesley Press, Inc., Cambridge, 1953)

[c15] E. P. Wigner, Phys. Rev. 56, 519 (1939)

[c16] J. P. Davidson, Phys. Rev. 85, 432 (1952)

[c17] A. Winther, Physica 18, 1079 (1952)

[c18] R. G. Sachs, Phys. Rev. 69, 611 (1946)

[c19] H. Primakoff, Phys. Rev. 72, 118 (1947)

[c20] G. Breit and R. M. Thaler, Phys. Rev. 89, 1177 (1953)

[c21] M. G. Mayer, Indiana Conference on Beta Spectroscopy and Nuclear Structure, 1953 (unpublished)

[c22] R. L. Pease and H. Feshbach, Phys. Rev. 88, 948 (1952)

[c23] J. M. Blatt, Phys. Rev. 89, 86 (1953)

[c24] O. H. Turner, Australian J. Sci. Research 6, 380 (1953)

[c25] Sheline, Johnson, Bell, Davis, and McGowan, Phys. Rev. 94, 1642 (1954)

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Matrix Elements in Superallowed Transitions

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