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Download or read book Relative Phases in Dalitz Plots for D 0 & Rarr; 3 Pseudoscalars written by Bhubanjyoti Bhattacharya and published by . This book was released on 2011 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: We discuss the role of flavor-SU(3) symmetry in determining relative phases in charm decays. Relative strong phases in D decays play an important part in the precise determination of the phase gamma in the unitarity triangle for the quark-mixing matrix. Flavor SU(3) provides a successful framework for studying D decays to a pair of pseudoscalars. We briefly review the flavor-SU(3) parametrization in D & rarr; PP processes and its extension to study D decays to a vector and a pseudoscalar. We present a fit to Cabibbo-favored D & rarr; PV decays to determine relevant flavor-SU(3) parameters, and use these to study three-body D-decay Dalitz plots. We study relative strong phases arising from the presence of intermediate vector resonance modes in three-body D decays, using our flavor-SU(3) parametrization of D & rarr; PV decays. The sign of the vector meson decay amplitude is important in determining relative phases, and we note that in most cases proper sign convention has been used. Cross-ratio measurements from multiple Dalitz plots seem to agree with flavor-SU(3) predictions more than phases of amplitudes that are dependent on flavor-SU(3) parametrization and hence susceptible to corrections from flavor breaking. Measured relative phases seem to disagree with flavor calculations up to about 20° in most cases. We offer solutions to this discrepancy. The flavor-SU(3) predictions seem to be different from measurements in the D0 & rarr; KSK+/- pi & mnplus; channels making these a prime target for reanalysis in the future.