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## Prog. Theor. Phys. Vol. 39 No. 5 (1968) pp. 1278-1288

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# On Nonleptonic Decays

## — A Possible Scheme for J+J-Type Weak Interaction Picture —

Department of Physics, Ibaraki University, Mito
*Department of Physics, Faculty of Science, Hokkaido University, Sapporo
**Department of Physics, College of Arts and Science, Chiba University, Chiba

### Abstract:

A possible interrelation between ordinary current×current (J+J-type) picture and phenomenological two-body weak interaction in nonleptonic weak decays is investigated. The investigation is based on
U-1αLα(x)U = ∂αLα(x) + \int[L4(x),Hstrong(y,x0)]d3y,
where Lα(Lα) means an operator in the interaction (Heisenberg) representation and U the unitary operator connecting these two representations. The strong interaction is assued to be given as products of appropriate (V, A) currents. In the fundamental triplet model the two-body weak interaction can be internally connected with the ordinary J+J-type weak interaction. This interrelation requires both symmetric and symmetry-breaking interactions (which are assumed to be of octet current × octet current-type) of the form GVV ·V + GAA ·A with GV = GA, where V(A) denotes a vector (axial-vector) current.
At the hadron level, similar discussions are developed and we can obtain a parallelism between triplet and hadron cases as far as we are concerned with the weak interaction with |ΔI| = 1/2. It is to be noted that as for the |ΔI| = 3/2 part we can find no connection between two-body weak interaction and J+J-type interaction so that we can say that the weak interaction with |ΔI| = 3/2 has a structure essentially different from the one with |ΔI| = 1/2.

DOI : 10.1143/PTP.39.1278

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### Citing Article(s) :

1. Progress of Theoretical Physics Vol. 40 No. 1 (1968) pp. 114-123 :
Nonleptonic Hyperon Decays and Equal-Time Commutation Relations
Masanobu Hirano, Kanji Fujii and Osamu Terazawa
2. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 571-575 :
Comment on Interrelation between Weak Four-Fermion Interaction and Weak Bilinear Interaction
Kanji Fujii and Shin-ya Furui
3. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 336-337 :