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η′→ηππ decay as a probe of a possible lowest-lying scalar nonet

Authors :
Joseph Schechter
Amir H. Fariborz
Source :
Physical Review D. 60
Publication Year :
1999
Publisher :
American Physical Society (APS), 1999.

Abstract

We study the ${\ensuremath{\eta}}^{\ensuremath{'}}\ensuremath{\rightarrow}\ensuremath{\eta}\ensuremath{\pi}\ensuremath{\pi}$ decay within an effective chiral Lagrangian approach in which the lowest lying scalar meson candidates $\ensuremath{\sigma}(560)$ and $\ensuremath{\kappa}(900)$ together with the ${f}_{0}(980)$ and ${a}_{0}(980)$ are combined into a possible nonet. We show that there exists a unique choice of the free parameters of this model which, in addition to fitting the $\ensuremath{\pi}\ensuremath{\pi}$ and $\ensuremath{\pi}K$ scattering amplitudes, well describes the experimental measurements for the partial decay width of ${\ensuremath{\eta}}^{\ensuremath{'}}\ensuremath{\rightarrow}\ensuremath{\eta}\ensuremath{\pi}\ensuremath{\pi}$ and the energy dependence of this decay. As a by-product, we estimate the ${a}_{0}(980)$ width to be 70 MeV, in agreement with a new experimental analysis.

Details

ISSN :
10894918 and 05562821
Volume :
60
Database :
OpenAIRE
Journal :
Physical Review D
Accession number :
edsair.doi...........3dd450f8edb619c8b37b787fc04d5286