arXiv subjects
Publications and source records attributed to H. B. O'Connell.
We review the current status of rho-omega mixing and discuss its implication for our understanding of charge-symmetry breaking. In order to place this work in context we also review the photon-hadron coupling within the framework of vector meson dominance. This leads naturally to a discussion of the electromagnetic form-factor of the pion and of nuclear shadowing.
We study direct CP violation in $B^\pm \to ρ^\pmρ^0(ω) \to ρ^\pmπ^+π^-$ and focus specifically on the rate asymmetry in the $ρ^0$-$ω$ interference region. Here the strong phase is dominated by isospin violation, so that it can be essentially determined by $e^+e^- \to ρ^0 (ω) \to π^+π^-$ data. We find the CP-violating asymmetry to be of the order of 20% at the $ω$ invariant mass. Moreover, it is robust with respect to the estimable strong-phase uncertainties, permitting the extraction of $\sinα$ from this channel.
We examine the isospin violation in the timelike pion form factor near threshold at next-to-leading order in the chiral expansion using the techniques of Chiral Perturbation Theory. This next-to-leading order contribution contains the first nonvanishing isospin violation. This isospin violation is found to be very small near threshold. In particular, the isospin violation at threshold is found to be of order 10^-4, which should be compared with the few percent level seen in the vector meson resonance region.
In this paper we improve and extend a recent analysis which showed that the rho-omega mixing amplitude cannot be unambiguously extracted from the pion electromagnetic form-factor in a model independent way. In particular, we focus on the argument that the extraction is sensitive to the presence of any intrinsic omega_I -> pi pi coupling. Our extended analysis confirms the original conclusion, with only minor, quantitative differences. The extracted mixing amplitude is shown to be sensitive to both the intrinsic coupling omega_I -> pi pi and to the value assumed for the mass of the rho^0-meson.
The formalism underlying the analysis of e+e- -> pi+pi- in the rho-omega interference region is carefully revisited. We show that the standard neglect of the pure I=0 omega, omega_I, `direct'' coupling to pi-pi is not valid, and extract those combinations of the direct coupling and ρ-omega mixing allowed by experiment. The latter is shown to be only very weakly constrained by experiment, and we conclude that data from the e+e- -> pi+pi- interference region cannot be used to fix the value of rho-omega mixing in a model-independent way unless the errors on the experimental phase can be significantly reduced. Certain other modifications of the usual formalism necessitated by the unavoidable momentum-dependence of rho-omega mixing are also discussed.