On Nonleptonic Decays : A Possible Scheme for J^+J-Type Weak Interaction Picture

概要

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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)+∫[L_4(x),H_<strong>(y,x_0)]d^3y, 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 assumed 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 hardron 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.
理論物理学刊行会の論文
1968-05-25