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

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 · Fri Apr 05 00:00:00 EDT 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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Further signatures to support the tetraquark mixing framework for the two light-meson nonets Kim, Hungchong; Kim, K. S.; Cheoun, Myung-Ki Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014005	journal	January 2019
Tetraquark Mesons in Large- N Quantum Chromodynamics Weinberg, Steven Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.261601	journal	June 2013
Measurement of B s 0 and D s − Meson Lifetimes Aaij, R.; Adeva, B.; Adinolfi, M. Physical Review Letters, Vol. 119, Issue 10 https://doi.org/10.1103/PhysRevLett.119.101801	journal	September 2017
Observation of the Semileptonic Decay D 0 → a 0 ( 980 ) − e + ν e and Evidence for D + → a 0 ( 980 ) 0 e + ν e Ablikim, M.; Achasov, M. N.; Ahmed, S. Physical Review Letters, Vol. 121, Issue 8 https://doi.org/10.1103/PhysRevLett.121.081802	journal	August 2018
First Measurement of the Form Factors in D s + → K 0 e + ν e and D s + → K * 0 e + ν e Decays Ablikim, M.; Achasov, M. N.; Ahmed, S. Physical Review Letters, Vol. 122, Issue 6 https://doi.org/10.1103/PhysRevLett.122.061801	journal	February 2019
Observation of D + → f 0 ( 500 ) e + ν e and Improved Measurements of D → ρ e + ν e Ablikim, M.; Achasov, M. N.; Ahmed, S. Physical Review Letters, Vol. 122, Issue 6 https://doi.org/10.1103/PhysRevLett.122.062001	journal	February 2019
Nature of Light Scalar Mesons from their Large- N c Behavior Peláez, J. R. Physical Review Letters, Vol. 92, Issue 10 https://doi.org/10.1103/PhysRevLett.92.102001	journal	March 2004
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$$\bar{B}_s \rightarrow f_0(980)$$ form factors and the width effect from light-cone sum rules Cheng, Shan; Shen, Jian-Ming The European Physical Journal C, Vol. 80, Issue 6 https://doi.org/10.1140/epjc/s10052-020-8124-2	journal	June 2020
Semileptonic decays of pseudoscalar mesons to the scalar f ₀ meson Aliev, T. M.; Savci, M. EPL (Europhysics Letters), Vol. 90, Issue 6 https://doi.org/10.1209/0295-5075/90/61001	journal	June 2010

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