Final state interactions in the decays J/ψ→VPP

Abstract

We investigate the interplay between crossed channel final state interactions and the constraints from two-particle unitarity for the reactions J/ψ → V ππ and V KK, where V is either ω or φ. Using a model where the parameters are largely constrained by other sources, we find that, although small, crossed channel final state interaction can influence the amplitudes considerably, in special areas of phase space. These results cast doubt on the inapplicability of unitarity constraints on production amplitudes as recently claimed in the literature.

Parameters of scalar resonances from the combined analysis of data on processesππ→ππ,KK¯Surovtsev1, Bydžovský2, Kamiński3 et al. 2014Phys. Rev. D84110View full textAdd to dashboardCite

“…This is an effective inclusion of the effect of so-called "crossed channel final-state interactions" in J/ψ → φKK, which was studied largely, e.g., in Ref. [25]. The di-meson mass distributions are given as…”

Isospin breaking andf0(980)-a0(980)mixing in theAceti1, Liang2, Oset3 et al. 2012Phys. Rev. D1078980View full textAdd to dashboardCite

“…According to this picture, a series of reactions where these resonances are formed were studied and, with no extra parameters than those needed in the study of meson-meson scattering, predictions were made for cross sections or other observables in these reactions. Examples of it are the reactions φ → π 0 π 0 γ, π 0 ηγ [18], the J/ψ → φ(ω)f 0 [19][20][21][22], the J/ψ → ppππ reaction [23] or the photoproduction of f 0 (980) on nucleons [24].…”

Hadronic and radiative three-body decays ofJ/ψinvolving the scalarsf0(1370),

“…Theoretical studies of J/ψ decay into a vector meson and two pseudoscalars have already been done in Refs. [17][18][19]. The impact of the effects of coupled-channel dynamics has been investigated in [17] and has then been improved on the basis of chiral perturbation theory (ChPT) and unitarity constraints in [18].…”

“…Present evaluation is meant as a continuation of the full decay analysis presented in [6] but now we include the additional constraints set by J/ψ decays involving these scalars. At this stage we do not consider explicitly the mixing of the scalar resonances induced by the continuum decay channels, we also neglect final state interaction in the decay modes (note that inclusion of final-state interaction in J/ψ three-body decays has been done in [19])-both interaction mechanisms are higher-order effects in the framework of our perturbative considerations. We are interested to give predictions for scalar resonance contributions to J/ψ decay modes where the physical nature of the scalar resonances f i = f 0 (1370), f 0 (1500) and f 0 (1710) can possibly be tested.…”