Investigating the nature of light scalar mesons with semileptonic decays of D mesons

Abstract

We study the semileptonic decays of $D_s^{+}$, $D^{+}$, and $D^0$ mesons into the light scalar mesons [$f_0(500)$, $K_0^{\ast }(800)$, $f_0(980)$, and $a_0(980)$] and the light vector mesons [$\rho (770)$, $\omega (782)$, $K^{\ast }(892)$, and $\varphi (1020)$]. With the help of a chiral unitarity approach in coupled channels, we compute the branching fractions for scalar meson processes of the semileptonic $D$ decays in a simple way. Using current known values of the branching fractions, we make predictions for the branching fractions of the semileptonic decay modes with other scalar and vector mesons. Furthermore, we calculate the ${\pi }^{+}{\pi }^{-}$, $\pi \eta$, $\pi K$, and $K^{+}{K}^{-}$ invariant mass distributions in the semileptonic decays of $D$ mesons, which will help us clarify the nature of the light scalar mesons.

17 pages, 11 eps figures, version accepted for publication in PRD, several references added

References in corpus (14)

• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Identification of a Scalar Glueball
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• The low lying scalar resonances in the $D^0$ decays into $K_s^0$ and $f_0(500)$, $f_0(980)$, $a_0(980)$
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Analysis of the D+ --> K- pi+ e+ nu_e decay channel
• 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
• Testing the molecular nature of ${\mathbf{D}}_{\mathbf{s}0}^{\ast }(2317)$ and ${\mathbf{D}}_0^{\ast }(2400)$ in semileptonic ${\mathbf{B}}_{\mathbf{s}}$ and $\mathbf{B}$ decays
• $B^0$ and $B_s^0$ decays into $J/\psi$ plus a scalar or vector meson
• $D_{s0}^{\ast \pm }(2317)$ and $KD$ scattering from $B_s^0$ decay
• To understand the rare decay $B_s\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$
• Probing scalar mesons in semi-leptonic decays of $D_s^{+}$, $D^{+}$ and $D^0$
• Search for D to phi l nu and measurement of the branching fraction for D to phi pi

Cited by in corpus (34)

• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Weak decays of heavy hadrons into dynamically generated resonances
• Semileptonic $D_{(s)}$-meson decays in the light of recent data
• 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
• Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons
• Decay $D\to K^{(\ast )}{\ell }^{+}{\nu }_{\ell }$ in covariant quark model
• ${\bar{B}}^0$, $B^{-}$ and ${\bar{B}}_s^0$ decays into $J/\psi$ and $K\bar{K}$ or $\pi \eta$
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Observation of the semi-muonic decay $D^{+}\to \omega {\mu }^{+}{\nu }_{\mu }$
• 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
• Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
• Chiral dynamics, S-wave contributions and angular analysis in $D\to \pi \pi \ell \bar{\nu }$
• Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• $D_{s0}^{\ast }(2317{)}^{+}$ in the decay of $B_c$ into $J/\psi DK$
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• Semileptonic ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2595)$ and ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2625)$ decays in the molecular picture of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$
• 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 $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• Observation of the Decay $D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }$
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• Branching fractions and polarizations of $D\to V(\omega ,\rho ,K^{\ast })\ell {\nu }_{\ell }$ within QCD LCSR
• 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
• Test of lepton universality and measurement of the form factors of $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$
• $\bar{K}$ induced formation of the $f_0(980)$ and $a_0(980)$ resonances on proton targets
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• Semileptonic decay of $B_c^{-}$ into $X(3930)$, $X(3940)$, $X(4160)$
• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• Novel nonperturbative approach for radiative ${\bar{B}}^0({\bar{B}}_s^0)\to J/\psi \gamma$ decays
• Precise measurement of the form factors in $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$ and test of lepton universality with $D^0\to K^{\ast }(892{)}^{-}{\ell }^{+}{\nu }_{\ell }$ decays
• Meson exchange between initial and final state and the $R_D$ ratio in the $\bar{B}\to D\bar{\nu }\ell ({\bar{\nu }}_{\tau }\tau )$ reactions
• Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude