$$\eta ^{\prime }\rightarrow \eta \pi \pi $$ η′→ηππ decays in unitarized resonance chiral theory
Autor: | Sergi Gonzàlez-Solís, Emilie Passemar |
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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. |
Databáze: | Directory of Open Access Journals |
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