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

On Nonleptonic Decays

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

Shin-ya Furui, Tetsuya Tsuchida, Kanji Fujii^* and Shoichiro Kawasaki^**

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

(Received November 17, 1967)

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^-1∂_αL_α(x)U = ∂_αL_α(x) + \int[L₄(x),H_strong(y,x₀)]d³y,
where L_α(L_α) 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 G_VV ·V + G_AA ·A with G_V = G_A, 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.

URL : http://ptp.ipap.jp/link?PTP/39/1278/
DOI : 10.1143/PTP.39.1278

[ Full Text PDF : FREE ACCESS (656K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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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 :

   Comments on Ω-Nonleptonic Decay

   Akira Toyoda, Sinya Furui and Tetsuya Tsuchida

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