Effect of the KK¯ and ηη channels and interference phenomena in the two-pion and KK¯ transitions of charmonia and bottomonia

Yury S Surovtsev,Valery E Lyubovitskij,Robert Kamiński,Petr Bydžovský,Miroslav Nagy,Thomas Gutsche

doi:10.1103/physrevd.97.014009

Abstract

It is shown that the basic shape of dipion and $K\overline{K}$ mass spectra in decays $J/\psi\to\phi(\pi\pi,K\overline{K})$, $\psi(2S)\to J/\psi\,\pi\pi$, $Y(4260)\to J/\phi~\pi\pi$ and in the two-pion transitions of bottomonia states are explained by an unified mechanism based on the contribution of the $\pi\pi$, $K\overline{K}$ and $\eta\eta$ coupled channels including their interference. The role of the individual $f_0$ resonances in making up the shape of the dipion mass distributions in the charmonia and bottomonia decays is considered.

Highlights

The last years achievements of the hadron spectroscopy are related mainly to heavy mesons including charmonia and bottomonia
Since we have shown that the basic forms of the dipion mass spectra of charmonia and bottomonia pion-pion transitions are explained by the unified mechanism, one can think that characteristic pictures of the mass spectra of analogous charmonia and bottomonia transitions are similar, with taking into account distortions due to the phase space volume
The combined analysis was performed for data on isoscalar S-wave processes ππ → ππ; KK; ηη and on the decays of the charmonia—J=ψ → φðππ; KKÞ, ψð2SÞ → J=ψππ, Yð4260Þ → J=ψπþπ−—and of the bottomonia —ΥðmSÞ→ΥðnSÞππ (m>n, m1⁄42, 3, 4, 5, n 1⁄4 1, 2, 3) from the ARGUS, Crystal Ball, CLEO, CUSB, DM2, Mark II, Mark III, BES II, BABAR, and Belle Collaborations

Summary

INTRODUCTION

The last years achievements of the hadron spectroscopy are related mainly to heavy mesons including charmonia and bottomonia. The main aim of this investigation is to prolong the study of scalar meson properties analyzing jointly data on the isoscalar S-wave processes ππ → ππ; KK; ηη, on charmonia decays—J=ψ →φðππ;KKÞ, ψð2SÞ→J=ψππ and Yð4260Þ→ J=ψππ and on the above-indicated two-pion transitions of bottomonia. This task is timely in view of that is very important. When expanding the analysis via adding the data on decays ψð2SÞ → J=ψππ and on the two-pion transitions of bottomonia, the satisfactory description did not require the alteration of the f0 parameters, confirming our earlier conclusions about the scalar-isoscalar mesons. Besides specifying the decay parameters, we are going to clarify a role of individual resonances

THE EFFECT OF MULTICHANNEL ππ SCATTERING IN DECAYS OF THE ψ- AND

CONCLUSIONS AND DISCUSSION