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Prog. Theor. Phys. Vol. 36 No. 1 (1966) pp. 148-158
A Comment on the Mass Formulas Derived from Group Theory
Hiroshi Katsumori
Institut Henri Poincaré, Paris, France
(Received February 23, 1966)
Abstract:
The mass operator is assumed to be written in the form of the most general polynomial expression in the hypercharge, the isospin and its third component or equivalently the electric charge. It is shown that the Coleman-Glashow formula for the electromagnetic mass difference can generally be obtained by omitting the contributions from the interference effect of the strong mass splitting interaction and the electromagnetic interaction, independently of a special type of te group, such as SU3.
Furthermore strong mass splitting problems are discussed in connection with the Gell-Mann and Okubo formula and also with the Vigier and Flato formula.
URL :
http://ptp.ipap.jp/link?PTP/36/148/
DOI : 10.1143/PTP.36.148
References:
-
S. Coleman and S. L. Glashow, Phys. Rev. Lett. 6 (1961), 423[APS].
- N. Cabibbo and R. Gatto, Nuovo Cim. 21 (1961), 872.
S. P. Rosen, Phys. Rev. Lett. 11 (1963), 100[APS].
- H. Katsumori, Prog. Theor. Phys. 31 (1964), 938[PTP].
-
R. P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958), 193[APS].
- S. Okubo, Prog. Theor. Phys. 27 (1962), 949[PTP]; ibid. 28 (1962), 24[PTP].
- D. Bohm, M. Flato, F. Halbwachs, P. Hillion and J. P. Vigier, Nuovo Cim. 36 (1965), 672.
M. Flato and J. Sternheimer, Compt. rend. 259 (1964), 3455.
- H. Katsumori, Prog. Theor. Phys. 33 (1965), 755[PTP].
-
S. Okubo, Phys. Lett. 4 (1963), 14[CrossRef].
-
B. Sakita, Phys. Rev. Lett. 13 (1964), 643[APS].
C. H. Chan and A. Q. Sarker, Phys. Rev. Lett. 13 (1964), 731[APS].
- H. Katsumori, Prog. Theor. Phys. 33 (1965), 757[PTP].
-
S. Weinberg and S. B. Treimen, Phys. Rev. 116 (1959), 465[APS].
-
S. Okubo, J. Phys. Soc. Jpn. 19 (1964), 1507[JPSJ].
- G. Gidal et al., UCRL-11543 (1964).
-
W. Cooper et al., Phys. Lett. 8 (1964), 365[CrossRef].
- D. O. Huwe, UCRL- 11291 (1964).
-
G. M. Pjerrou et al., Phys. Lett. 14 (1965), 275[CrossRef].
-
M. G. Olsson, Phys. Rev. Lett. 14 (1965), 118[APS].
- H. Katsumori, Prog. Theor. Phys. 18 (1957), 375[PTP].
R. Marshak, S. Okubo and E. C. G. Sudershan, Phys. Rev. 106 (1957), 599[APS].
-
J. J. de Swart, Rev. Mod. Phys. 35 (1963), 916[APS].