Study of the f 0 ( 980 ) and f 0 ( 500 ) Scalar Mesons through the Decay D s + → π + π − e + ν e

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doi:10.1103/PhysRevLett.132.141901

Title: Study of the $f_{0} (980)$ and $f_{0} (500)$ Scalar Mesons through the Decay $D_{s}^{+} \to π^{+} π^{-} e^{+} ν_{e}$

Journal Article · 04 April 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.132.141901 · OSTI ID:2335437

Ablikim, M.; Achasov, M. N.; Adlarson, P.; Aliberti, R.; Amoroso, A.; An, M. R.; An, Q.; Bai, Y.; Bakina, O.; Balossino, I.; Ban, Y.; Batozskaya, V.; Begzsuren, K.; Berger, N.; Berlowski, M.; Bertani, M.; Bettoni, D.; Bianchi, F.; Bianco, E.; Bloms, J. more »

Using $e^{+} e^{-}$ collision data corresponding to an integrated luminosity of $7.33 {fb}^{- 1}$ recorded by the BESIII detector at center-of-mass energies between 4.128 and 4.226 GeV, we present an analysis of the decay $D_{s}^{+} \to π^{+} π^{-} e^{+} ν_{e}$ , where the $D_{s}^{+}$ is produced via the process $e^{+} e^{-} \to D_{s}^{* \pm} D_{s}^{\mp}$ . We observe the $f_{0} (980)$ in the $π^{+} π^{-}$ system and the branching fraction of the decay $D_{s}^{+} \to f_{0} (980) e^{+} ν_{e}$ with $f_{0} (980) \to π^{+} π^{-}$ measured to be $(1.72 \pm 0.1 3_{stat} \pm 0.1 0_{syst}) \times 10^{- 3}$ , where the uncertainties are statistical and systematic, respectively. The dynamics of the $D_{s}^{+} \to f_{0} (980) e^{+} ν_{e}$ decay are studied with the simple pole parametrization of the hadronic form factor and the Flatté formula describing the $f_{0} (980)$ in the differential decay rate, and the product of the form factor $f_{+}^{f_{0}} (0)$ and the $c \to s$ Cabibbo-Kobayashi-Maskawa matrix element $| V_{c s} |$ is determined for the first time to be $f_{+}^{f_{0}} (0) | V_{c s} | = 0.504 \pm 0.01 7_{stat} \pm 0.03 5_{syst}$ . Furthermore, the decay $D_{s}^{+} \to f_{0} (500) e^{+} ν_{e}$ is searched for the first time but no signal is found. The upper limit on the branching fraction of $D_{s}^{+} \to f_{0} (500) e^{+} ν_{e}$ , $f_{0} (500) \to π^{+} π^{-}$ decay is set to be $3.3 \times 10^{- 4}$ at 90% confidence level. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-05ER41374

OSTI ID:: 2335437

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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