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Prog. Theor. Phys. Vol. 18 No. 4 (1957) pp. 375-382

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Anomalous Magnetic Moments of Hyperons and Mirror Theorem

Hiroshi Katsumori

Institute for Atomic Research and Department of Physics, Iowa State College, Ames, Iowa, U.S.A.

(Received July 6, 1957)

Abstract:

According to the theory of d'Espagnat and Prentki the anomalous magnetic moments of hyperons are calculated in the lowest order perturbation approximation. It is further shown that their charge-independent interaction Hamiltonian leads to the mirror theorem for the anomalous magnetic moments of baryons (and of K mesons) without use of perturbation approximation. Finally the anomalous magnetic moments of Σ hyperons determined from the mass differences of Σ and the mirror theorem are compared with the perturbation results.


URL : http://ptp.ipap.jp/link?PTP/18/375/
DOI : 10.1143/PTP.18.375

[ Full Text PDF : FREE ACCESS (553K) ] Citation:

References:

  1. B. d'Espagnat and J. Prentki, Nucl. Phys. 1 (1956), 33[Elsevier].
  2. C. Ceolin and L. Taffara, Nuovo Cim. 5 (1957), 435.
  3. S. Iwao, Prog. Theor. Phys. 13 (1955), 111[PTP].
  4. J. Schwinger, Phys. Rev. 104 (1956), 1164[APS].
  5. These expressions for B1 and B2 except for the case λ + κ2 - 1 < 0 should be equivalent to those given by
    C. Iso and S. Iwao, Prog. Theor. Phys. 16 (1956), 417, [PTP]
    who calculated the effects of the Σ and Λ hyperons and the K meson to the anomalous magnetic moments of nucleons. Their formula for B2, however, seems to be misprinted.
  6. The values of B1 and B2 for nucleons are listed for the sake of comparison. The contributions from the (NNπ) interaction were early calculated by
    K. M. Case, Phys. Rev. 76 (1949), 1, [APS]and others.
    Although the contributions from the (NΣK) and (NΛK) interactions have been calculated by Iso and Iwao (ref. 5), the present numerical value of B1(NΣK) for ps coupling does not agree with theirs.
  7. As to the contributions for the Σ hyperons, some of the present numerical values do not agree with those given by
    E. C. G. Sudershan and R. E. Marshak, Phys. Rev. 104 (1956), 267[APS].
  8. Y. Takahashi, Prog. Theor. Phys. 6 (1951), 624[PTP].
  9. H. Katsumori, Prog. Theor. Phys. 17 (1957), 803[PTP].
  10. Besides the experimental inaccuracy of the mass of Σ°, one should keep in mind the simplification for ΔM(Σ°) used in ref. 9. See the last paragraph of the note added in proof of ref. 9.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 24 No. 1 (1960) pp. 35-58 :
    Electromagnetic Mass Difference on Elementary Particles
    Hiroshi Katsumori
  2. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 189-200 :
    On the Electromagnetic Mass Differences among the Sigma Hyperons
    Yoshiko Sugimoto
  3. Progress of Theoretical Physics Vol. 27 No. 5 (1962) pp. 1080-1082 :
    A Remark on the Anomalous Magnetic Moment of the Hyperons
    Jugoro Iizuka
  4. Progress of Theoretical Physics Vol. 29 No. 5 (1963) pp. 794-796 :
    Anomalous Magnetic Moments of Baryons in Vigier's Rotator Model
    Hiroshi Katsumori
  5. Progress of Theoretical Physics Vol. 34 No. 1 (1965) pp. 56-63 :
    Symmetry Breaking Interactions in SU(3)/Z(3) Symmetry
    Syurei Iwao
  6. Progress of Theoretical Physics Vol. 36 No. 1 (1966) pp. 148-158 :
    A Comment on the Mass Formulas Derived from Group Theory
    Hiroshi Katsumori

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