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Calculation of \(\eta ^{\prime}\) decay modes using chiral perturbation theory. (English) Zbl 1284.81348
Summary: In this paper, with the use of Chiral Perturbation theory (\(\chi \)PT), we have studied the \(\eta ^{\prime}\) decays in to \(3\pi \) and \(2\pi \eta \), after performing these reactions. The Scattering amplitude and decay width are calculated for different modes up to NLO. The Dalitz plot expansion and parameter fixing for each of them is also calculated. Experimental results are in good agreement with the obtained results. We compare our results with charged and neutral decay parameters with the most recent Particle Data Group results of these observables. At next-to-leading order, our results for decay widths of the charged (neutral) channel are \(\varGamma (\eta ^{\prime}\rightarrow 2\pi \eta ) = 83.6\pm 0.8 \; (43.0\pm 2.2)\) keV and \(\varGamma (\eta ^{\prime}\rightarrow 3\pi )=0.716\pm 0.072 \; (0.320\pm 0.079)\) keV. These results are in agreement with several other theoretical determinations and experimental findings.

MSC:
81V35 Nuclear physics
81U99 Quantum scattering theory
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