Analysis of four-body decay of D meson

The aim of this work is to provide a phenomenological analysis of the contribution of [Formula: see text] meson to [Formula: see text], [Formula: see text] and [Formula: see text] quasi-three-body decays. Such that the analysis of mentioned four-body decays is summarized into three-body decay and several channels are observed. Based on the factorization approach, hadronic three-body decays receive both resonant and nonresonant contributions. We compute both contributions of three-body decays. As, there are tree, penguin, emission, and emission annihilation diagrams for these decay modes. Our theoretical model for [Formula: see text] decay is based on the QCD factorization to quasi-two body followed by [Formula: see text]-wave. This model for this decay following experimental information which demonstrated two pion interaction in the [Formula: see text]-wave is introduced by the scalar resonance. The theoretical values are [Formula: see text], [Formula: see text] and [Formula: see text], while the experimental results of them are [Formula: see text], [Formula: see text] and [Formula: see text], respectively. Comparing computation analysis values with experimental values show that our results are in agreement with them.

NUCLEON AXIAL COUPLINGS AND [(½,0) ⊕ (0,½)]-[(1,½) ⊕ (½,1)] CHIRAL MULTIPLET MIXING

Three-quark nucleon interpolating fields in QCD have well-defined SU L(2) × SU R(2) and U A(1) chiral transformation properties. Mixing of the [(1,½) ⊕ (½,1)] chiral multiplet with one of four available [(½,0) ⊕ (0,½)] or [(0,½) ⊕ (½,0)] representations can be used to fit the isovector axial coupling [Formula: see text] and thus predict the isoscalar axial coupling [Formula: see text] of the nucleon, in reasonable agreement with experiment. We also use a chiral meson–baryon interaction to calculate the masses and one-pion-interaction terms of J = ½ baryons belonging to the [(0,½) ⊕ (½,0)] and [(1,½) ⊕ (½,1)] chiral multiplets and fit two of the diagonalized masses to the lowest-lying nucleon resonances thus predicting the third J = ½ resonance at 2030 MeV, not far from the (one-star PDG) state Δ(2150).