• C A Singh

      Articles written in Pramana – Journal of Physics

    • Violation of the Okubo-Zweig-Iizuka rule in the decay mode B(1235) →φ(1020) +π

      C A Singh

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      The Okubo-Zweig-Iizuka rule forbids the transitionB(1235)→φπ. Unitarity, however, induces a non-vanishing amplitude forBφπ. We estimate the amplitude using dispersion relation. The absorptive part is shown to be small contributing less than 100 keV to the partial width Γ (Bφπ). For the dispersive part we evaluate the contributions of the$$K*\bar K$$ and$$K**\bar K$$ intermediate states and point out that the$$K*\bar K*$$ state does not contribute significantly. The dispersive part contributes about 300 keV to the partial width. Thus unitarity correction to the Okubo-Zweig-Iizuka rule gives the partial width Γ(Bφπ) to be around 300–400 keV compared with the present experimental upper limit of 1·9 MeV.

    • Partially conserved axial-vector current inS-matrix theory

      J Pasupathy C A Singh

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      Mandelstam’s argument that PCAC follows from assigning Lorentz quantum numberM=1 to the massless pion is examined in the context of multiparticle dual resonance model. We construct a factorisable dual model for pions which is formulated operatorially on the harmonic oscillator Fock space along the lines of Neveu-Schwarz model. The model has bothmπ andmϱ as arbitrary parameters unconstrained by the duality requirement. Adler self-consistency condition is satisfied if and only if the conditionmϱ2mπ2=1/2 is imposed, in which case the model reduces to the chiral dual pion model of Neveu and Thorn, and Schwarz. The Lorentz quantum number of the pion in the dual model is shown to beM=0.

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