Light scalars in semi-leptonic decays of heavy quarkonia

Abstract

We study the mechanism of production of the light scalar mesons in the $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}\nu$ decays: $D_s^{+}\to s\bar{s}{e}^{+}\nu \to [\sigma (600)+f_0(980)]e^{+}\nu \to {\pi }^{+}{\pi }^{-}{e}^{+}\nu$, and compare it with the mechanism of production of the light pseudoscalar mesons in the $D_s^{+}\to (\eta /{\eta }^{\prime })e^{+}\nu$ decays: $D_s^{+}\to s\bar{s}{e}^{+}\nu \to (\eta /{\eta }^{\prime })e^{+}\nu$. We show that the $s\bar{s}\to \sigma (600)$ transition is negligibly small in comparison with the $s\bar{s}\to f_0(980)$ one. As for the the $f_0(980)$ meson, the intensity of the $s\bar{s}\to f_0(980)$ transition makes near thirty percent from the intensity of the $s\bar{s}\to {\eta }_s$ (${\eta }_s=s\bar{s}$) transition. So, the $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}\nu$ decay supports the previous conclusions about a dominant role of the four-quark components in the $\sigma (600)$ and $f_0(980)$ mesons.

8 pages, 3 figures, the variant matches the publication in Phys. Rev. D

References in corpus (5)

• Lightest scalar and tensor resonances in $\gamma \gamma \to \pi \pi$ after the Belle experiment
• The analytical $\pi \pi$ scattering amplitude and the light scalars
• Analytical $\pi \pi$ scattering amplitude and the light scalars-II
• Semi-leptonic $D_s^{+}$(1968) decays as a scalar meson probe
• Effect of sigma meson on the $D_1(2430)\to D\pi \pi$ decay

Cited by in corpus (26)

• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• Weak decays of heavy hadrons into dynamically generated resonances
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Use of B->J/ψf0 decays to discern the q anti-q or tetraquark nature of scalar mesons
• Investigating the nature of light scalar mesons with semileptonic decays of D mesons
• Are There Tetraquarks at Large $N_c$ in QCD(F)?
• Observation of the Semileptonic Decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ and Evidence for $D^{+}\to a_0(980{)}^0{e}^{+}{\nu }_e$
• Observation of B^0_(s) -> J/ψf_1(1285) decays and measurement of the f_1(1285) mixing angle
• Observation of $D^{+}\to f_0(500)e^{+}{\nu }_e$ and Improved Measurements of $D\to \rho e^{+}{\nu }_e$
• Semileptonic Decays of Charmed Mesons to Light Scalar Mesons
• Quantum-Number Exotic Tetraquarks at Large $N_c$ in QCD(AS)
• Evidence of the four-quark nature of $f_0(980)$ and $f_0(500)$
• Light scalar mesons and two-kaon correlation functions
• 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
• Chiral dynamics, S-wave contributions and angular analysis in $D\to \pi \pi \ell \bar{\nu }$
• Strong isospin symmetry breaking in light scalar meson production
• Pseudoscalar or vector meson production in non-leptonic decays of heavy hadrons
• Semileptonic D decays and eta-eta^prime mixing
• The $a_0(980)$ physics in semileptonic $D^0$ and $D^{+}$ decays
• Semileptonic decays $D\to \eta \pi e^{+}{\nu }_e$ in the $a_0(980)$ region
• Study of the $f_0(980)$ and $f_0(500)$ Scalar Mesons through the Decay $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• 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
• Fate of Light Scalar Mesons
• Observation of $D^{+}\to f_0(500){\mu }^{+}{\nu }_{\mu }$ and study of $D^{+}\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\nu }_{\ell }$ decay dynamics
• Search for $D^0\to K^{-}\eta e^{+}{\nu }_e$, $D^{+}\to K_S^0\eta e^{+}{\nu }_e$ and $D^{+}\to \eta \eta e^{+}{\nu }_e$ decays