Abstract

We report the measurement of gamma gamma to eta_c(1S), eta_c(2S) to eta' pi+ pi- with eta' decays to gamma rho and eta pi+ pi- using 941 fb^{-1} of data collected with the Belle detector at the KEKB asymmetric-energy e+e- collider. The eta_c(1S) mass and width are measured to be M = [2984.6\pm0.7 (stat.)\pm2.2 (syst.)] MeV/c^{2} and \Gamma = [30.8^{+2.3}_{-2.2}~(stat.) \pm 2.5~(syst.)] MeV, respectively. First observation of eta_c(2S) to eta' pi+ pi- with a significance of 5.5sigma including systematic error is obtained, and the eta_c(2S) mass is measured to be M = [3635.1\pm3.7~(stat.)\pm2.9~(syst.)] MeV/c^{2}. The products of the two-photon decay width and branching fraction (B) of decays to eta'pi+ pi- are determined to be \Gamma_{gamma gamma}B = [65.4\pm2.6~(stat.)\pm6.9~(syst.)] eV for eta_c(1S) and [5.6^{+1.2}_{-1.1}~(stat.)\pm1.1~(syst.)] eV for eta_c(2S). A new decay mode for the eta_c(1S) to eta'f_0(2080) with f_0(2080) to pi+ pi- is observed with a statistical significance of 20sigma. The f_0(2080) mass and width are determined to be M = [2083^{+63}_{-66}~(stat.)\pm 32~(syst.)] MeV/c^{2} and \Gamma = [178^{+60}_{-178}~(stat.) \pm 55~(syst.)] MeV. The cross sections for gamma gamma to eta' pi+ pi- and eta'f_{2}(1270) are measured for the first time.

Highlights

  • The charmonium states ηcð1SÞ and ηcð2SÞ play an important role in tests of quantum chromodynamics (QCD) [1]

  • For η0πþπ− combinations with an invariant mass of W 1⁄4 2.98ð3.64Þ GeV=c2, we find that 8.2% (7.3%) of the signal Monte Carlo (MC) events have more than one candidate per event for the ηππ mode and 15%

  • The differential cross sections for the nonresonant states of two-body η0f2ð1270Þ with f2ð1270Þ → πþπ− and three-body η0πþπ− [excluding η0f2ð1270Þ] in the ηππ mode are shown in Tables IV and V and Figs. 11–14

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Summary

INTRODUCTION

The charmonium states ηcð1SÞ and ηcð2SÞ play an important role in tests of quantum chromodynamics (QCD) [1] Precise measurement of their two-photon decay widths may provide sensitive tests for QCD models [2]. CLEO made the first measurement of the ηcð2SÞ two-photon decay width Γγγ via K0SKþπ− but observed no signal for the ηcð2SÞ → η0πþπ− decay [9]. We report the updated measurement of the ηcð1SÞ parameters with the most Belle data sample of 941 fb−1, the observation of an ηcð2SÞ signal with its decays to η0πþπ− for the first time, the measurement of the product of the two-photon width of ηcð2SÞ and its branching fraction to η0πþπ− and the measurement of nonresonant production of η0πþπ− with η0 → ηπþπ− decay via two-photon collisions

DETECTOR AND MONTE CARLO SIMULATION
DATA AND EVENT SELECTION
Selection criteria
Optimization for the jΣpÃt j requirement
FITTING FOR ηcð1SÞ AND ηcð2SÞ
Background estimation
Results of the ηcð1SÞ and ηcð2SÞ fits
Systematic uncertainties
MEASUREMENTS OF THE CROSS SECTIONS
M2Þ2 þ
Systematic uncertainty
Findings
SUMMARY AND DISCUSSIONS
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