International Workshop on Partial Wave Analyses and Advanced Tools for Hadron Spectroscopy

Dispersive analysis of B¯d,s0→J/ψ{ππ,K¯K,πη} decays

13 Mar 2017, 16:30

30m

Seminar Room (Bad Honnef)

Topic 3: Theoretical Constraints on Amplitude Analyses Session

Speaker

Ms Johanna Daub

Description

Within the framework of dispersion theory we analyze the decays ${\overline{B}}_{d,s}^0\to J/\psi M_1{M}_2$ with $M_1{M}_2$ being an scalar isoscalar or isovector pair of pseudoscalars, $\pi \pi$, $\overline{K}K$ or $\pi \eta$. In a fit of the ${\overline{B}}_{d,s}^0\to J/\psi \pi \pi$ spectrum to data we fix several parameters, whose number is reduced significantly compared to a phenomenological analysis. Using these fit results we give predictions for the other final states, solely based on coupled-channel relations between the $\pi \pi$ and $\overline{K}K$ and the $\pi \eta$ and $\overline{K}K$ pairs, respectively, and isospin relations. These relations allow to deduce crucial information on $\pi \eta$ scattering and to compare the $f_0(980)$ vs. the $a_0(980)$ signal, which dominate the considered spectra in the isoscalar or isovector meson-pair final-states, respectively.