Study of the $f_0(980)$ and $f_0(500)$ Scalar Mesons through the Decay $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$

Abstract

Using $e^{+}{e}^{-}$ collision data corresponding to an integrated luminosity of 7.33~$\mathrm{f}{\mathrm{b}}^{-1}$ recorded by the BESIII detector at center-of-mass energies between 4.128 and 4.226~$\mathrm{GeV}$, we present an analysis of the decay $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$, where the $D_s^{+}$ is produced via the process $e^{+}{e}^{-}\to D_s^{\ast \pm }{D}_s^{\mp }$. We observe the $f_0(980)$ in the ${\pi }^{+}{\pi }^{-}$ system and the branching fraction of the decay $D_s^{+}\to f_0(980)e^{+}{\nu }_e$ with $f_0(980)\to {\pi }^{+}{\pi }^{-}$ measured to be $(1.72\pm 0.13_{\mathrm{stat}}\pm 0.10_{\mathrm{syst}})\times 10^{-3}$, where the uncertainties are statistical and systematic, respectively. The dynamics of the $D_s^{+}\to f_0(980)e^{+}{\nu }_e$ 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 $|V_{cs}|$ is determined for the first time to be $f_{+}^{f_0}(0)|V_{cs}|=0.504\pm 0.017_{\mathrm{stat}}\pm 0.035_{\mathrm{syst}}$. Furthermore, the decay $D_s^{+}\to f_0(500)e^{+}{\nu }_e$ is searched for the first time but no signal is found. The upper limit on the branching fraction of $D_s^{+}\to f_0(500)e^{+}{\nu }_e,f_0(500)\to {\pi }^{+}{\pi }^{-}$ decay is set to be $3.3\times 10^{-4}$ at 90\% confidence level.

9 pages, 3 figures

References in corpus (18)

• Future Physics Programme of BESIII
• A Theory of Scalar Mesons
• Method for detector description transformation to Unity and application in BESIII
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Analysis of the resonant components in B0->J/ψpi+pi-
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Two photon couplings of the lightest isoscalars from BELLE data
• The Scalar Meson f0(980) in Heavy-Meson Decays
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• The mass of the sigma pole
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Semileptonic Decays of Charmed Mesons to Light Scalar Mesons
• Semileptonic decays $D\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$ and $D_s\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$ as the probe of constituent quark-antiquark pairs in the light scalar mesons
• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• Further signatures to support the tetraquark mixing framework for the two light-meson nonets
• Search for the decay $D_s^{+}\to a_0(980{)}^0{e}^{+}{\nu }_e$
• Study of light scalar mesons through $D_s^{+}\to {\pi }^0{\pi }^0{e}^{+}{\nu }_e$ and $K_S^0{K}_S^0{e}^{+}{\nu }_e$ decays
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis

Cited by in corpus (3)

• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay
• Measurements of the branching fractions of semileptonic $D_s^{+}$ decays via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Study of the light scalar $a_0(980)$ through the decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ with $a_0(980{)}^{-}\to \eta {\pi }^{-}$