Distinguishing two kinds of scalar mesons from heavy meson decays

Abstract

In the SU(3) symmetry limit, semileptonic $D^{+}\to S{l}^{+}\nu$ and $B^{-}\to S{l}^{-}\bar{\nu }$ decays, with $S=a_0(980)$, $f_0(980)$ and $f_0(600)$, are found to obey different sum rules in the $\bar{q}q$ and the tetra-quark descriptions for scalar mesons. Thus these sum rules can distinguish the two scenarios for light scalar mesons model-independently. This method also applies to the ${\bar{B}}^0\to J/\psi ({\eta }_c)S$ decays. Two kinds of SU(3) symmetry breaking effects are found to be under control, which will not spoil our method. The branching fractions of the $D^{+}\to S{l}^{+}\nu$, $B^{-}\to S{l}^{-}\bar{\nu }$ and ${\bar{B}}^0\to J/\psi ({\eta }_c)S$ decays roughly have the order $10^{-4}$, $10^{-5}$ and $10^{-6}$, respectively. The ongoing BES-III and the forthcoming Super B experiments are able to measure these channels and accordingly to provide detailed information of the scalar meson inner structure.

9 pages, 3 eps figures, published version

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Cited by in corpus (41)

• Weak decays of heavy hadrons into dynamically generated resonances
• Dalitz plot analysis of $B^0\to {\overline{D}}^0{\pi }^{+}{\pi }^{-}$ decays
• 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
• Resonant $a_0(980)$ state in triangle rescattering $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decays
• Weak Decays of Stable Doubly Heavy Tetraquark States
• 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 $D^{+}\to f_0(500)e^{+}{\nu }_e$ and Improved Measurements of $D\to \rho e^{+}{\nu }_e$
• Semileptonic Decays of Charmed Mesons to Light Scalar Mesons
• Observation of $a_0(1710{)}^{+}\to K_S^0{K}^{+}$ in study of the $D_s^{+}\to K_S^0{K}^{+}{\pi }^0$ decay
• Decay $D\to K^{(\ast )}{\ell }^{+}{\nu }_{\ell }$ in covariant quark model
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Hadronic three-body D decays mediated by scalar resonances
• Study of $\mathbf{D}\to {\mathbf{a}}_0(980){\mathbf{e}}^{+}{\mathbf{\nu }}_{\mathbf{e}}$ decay in the light-cone sum rules approach
• Fully Heavy Tetraquark $bb\bar{c}\bar{c}$: Lifetimes and Weak Decays
• 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 $D\to \pi \pi \ell \bar{\nu }$
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis
• Weak Decays of Triply Heavy Tetraquarks $b\bar{c}b\bar{q}$
• $a_0(980)$-meson twist-2 distribution amplitude within the QCD sum rules and investigation of $D\to a_0(980)(\to \eta \pi )e^{+}{\nu }_e$
• Pseudoscalar or vector meson production in non-leptonic decays of heavy hadrons
• Weak Decays of Doubly-Heavy Tetraquarks $b\bar{c}q\bar{q}$
• Search for the decay $D_s^{+}\to a_0(980{)}^0{e}^{+}{\nu }_e$
• Study of $B\to K_0^{\ast }(1430)K^{(\ast )}$ decays in QCD Factorization Approach
• Semileptonic D decays and eta-eta^prime mixing
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry
• 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 $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• The Production of Singly Charmed Pentaquark $\bar{c}qqqq$ from Bottom Baryon
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• SU(3) analysis of fully-light tetraquarks in heavy meson weak decays
• 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
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• The study of doubly charmed pentaquark $cc\bar{q}qq$ with the SU(3) symmetry
• Study of the light scalar $a_0(980)$ through the decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ with $a_0(980{)}^{-}\to \eta {\pi }^{-}$
• Transition form factors for $D/B$ to $a_0(980)$ from light-cone QCD sum rules
• 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
• Study light scalar meson property from heavy meson decays