$$\eta ^{\prime }\rightarrow \eta \pi \pi $$ η′→ηππ decays in unitarized resonance chiral theory

Autor: Sergi Gonzàlez-Solís, Emilie Passemar
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 78, Iss 9, Pp 1-26 (2018)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-018-6238-6
Popis: Abstract We study the hadronic $$\eta ^{\prime }\rightarrow \eta \pi \pi $$ η′→ηππ decays within the framework of $$U(3)_{L}\otimes U(3)_{R}$$ U(3)L⊗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 $$\pi \pi $$ ππ and the subleading S-wave $$\pi \eta $$ 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 $$a=-\,0.072(7)_{\mathrm{stat}}(8)_{\mathrm{syst}},\,b=-\,0.052(1)_{\mathrm{stat}}(2)_{\mathrm{syst}}, d=-\,0.051(8)_{\mathrm{stat}}(6)_{\mathrm{syst}}$$ a=-0.072(7)stat(8)syst,b=-0.052(1)stat(2)syst,d=-0.051(8)stat(6)syst , which lie in the ballpark of the current experimental and theoretical determinations.
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