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arXiv · 1807.04313

$η^{\prime}\toηππ$ decays in unitarized resonance chiral theory

Sergi Gonzàlez-Solís·Emilie Passemar
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Abstract

We study the hadronic $η^{\prime}\toηππ$ decays within the framework of $U(3)_{L}\otimes U(3)_{R}$ Chiral Perturbation Theory including resonance states and the complete one-loop corrections. The amplitude is projected in partial waves and unitarized by means of the $N/D$ method resumming both the important $S$-and $D$-wave $ππ$ and the subleading $S$-wave $πη$ final-state interactions. The participating scalar multiplet mass and coupling strengths are determined from fits to the Dalitz plot experimental data recently released by the A2 collaboration. As a byproduct of our analysis, the associated Dalitz-plot slope parameters are found to be $a=-0.072(7)_{\rm{stat}}(8)_{\rm{syst}}\,, b=-0.052(1)_{\rm{stat}}(2)_{\rm{syst}}\,, d=-0.051(8)_{\rm{stat}}(6)_{\rm{syst}}$, which lie in the ballpark of the current experimental and theoretical determinations.

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Sergi Gonzàlez-Solís, Emilie Passemar. 2018-07-11. $η^{\prime}\toηππ$ decays in unitarized resonance chiral theory. https://doi.org/10.1140/epjc%2Fs10052-018-6238-6

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