Prog. Theor. Phys. Vol. 17 No. 3 (1957) pp. 313-325

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An Attempt of Generalizing the Hypothesis of Charge Independence, I

— Selection Rule for the Decay Process —

Osamu Hara and Yasunori Fujii

Institute of Theoretical Physics, Nagoya University, Nagoya

(Received October 16, 1956)

Abstract:

An attempt is made of generalizing the hypothesis of charge independence to the weak interaction. The fundamental assumption is that the strangeness quantum number is not a scalar but the third component of an angular momentum vector in the charge space, and the sum of this new vector and the usual isotopic spin is conserved in all processes. The case when the usual charge independence holds is assumed to correspond to the special case when these two vectors are conserved separately. It is shown that this assumption leads, when combined with the composite hypothesis proposed by Markov and Sakata, to a consistent level scheme for hyperons and heavy mesons, and moreover gives a new selection rule for the decay process which is essentially equivalent to |ΔI| = ½ recently suggested by many authors. It gives also other results which can be compared with experiments directly. Among them a preliminary discussion is given on a new selection rule expected in the annihilation of nucleon-antinucleon pairs. A comment on the b-field proposed by Yang and Mills is also given.

URL : http://ptp.ipap.jp/link?PTP/17/313/
DOI : 10.1143/PTP.17.313

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Citing Article(s) :

Progress of Theoretical Physics Vol. 17 No. 6 (1957) pp. 819-820 :
An Attempt of Generalizing the Invariance of the Theory under the Charge Conjugation

Osamu Hara, Yasunori Fujii and Yoshio Ohnuki
Progress of Theoretical Physics Vol. 36 No. 1 (1966) pp. 159-174 :
Symmetry of Strong and Weak Interactions

Seitaro Nakamura and Shigeo Sato