On the Non-Leptonic Decays of the Charmed Baryons

Abstract

Assuming the 15-Hamiltonian, the non-leptonic decays of the charmed baryons including (3/2r baryon are examined. The results are compared with those of 20'' -dominance. Our results are also compared with the recent experimental data. § l. Introduction Since Niu et al.v found in the nuclear jet shower a charged massive particle 2 J~GJ about it were given. Ogawa et al. 2J presented an interpretation of this event on the basis of the revised New Nagoya Model6J for the urbaryons (the constituents of hadrons), and pointed out that this particle may be a new hadron (hereafter called the charmed hadron) which includes the fourth urbaryon Po' in the New Nagoya Model, and also in­ vestigated the weak decay rates of the charmed hadrons. Nakagawa et al.sJ.•J also discussed masses and the interaction scheme of charmed hadrons in the framework of the SU(4) symmetry and showed that, taking the New Nagoya Model, all non­ leptonic weak interactions with [LIS[ =1 and/or [LIN'[ =1, where N' is the Po' number (charm number), belong to a representation 84 when the V-A current­ current interaction is taken. *l They have further pointed out that 84 interaction Hamiltonian, together with LII = 1/2 rule, leads to the vanishing of the amplitudes of the ordinary hyperon decays so that the usual enhancement of octet representa­ tion of SU(3) may be ascribed to the enhancement of 15 spurion through a breaking interaction. The present author and othersn have shown the relations among the amplitudes of the charmed baryon decays CV-+t++o-) for [LIS[ =1, LIN' =0 and LIS=O, [LIN'[ =1 processes taking 15-Hamiltonian similarly to Nakagawa