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Register a new userTwo or Four: A Hint from Scalar Mesons in Radiative phi Decays ?
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Deirdre Black
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In this write-up, we summarize our recent analysis of radiative decays involving light scalar mesons. Our analysis using the vector meson dominance model at tree level indicates that it may be difficult to distinguish $qqbar{q}bar{q}$ picture and $qbar{q}$ picture for the light scalar nonet. Our result on the process of $phi to pi^0 eta gamma$ shows that the derivative-type $f_0 Kbar{K}$ interaction reproduces experimental data below 950 GeV well, but gives a poor fit above 950 GeV, i.e., in the energy region around the mass of $a_0(980)$, but that the discrepancy can be compensated by the effect of the $K$ loop.
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In the present work, we investigate the decays of $B^{0}_{s} rightarrow phipi^{+}pi^{-}$ and $B^{0} rightarrow phipi^{+}pi^{-}$ with the final state interactions based on the chiral unitary approach. In the final state interactions of the $pi^+pi^-$ with its coupled channels, we study the effects of the $etaeta$ channel in the two-body interactions for the reproduction of the $f_{0}(980)$ state. Our results for the $pi^+pi^-$ invariant mass distributions of the decay $B^{0}_{s} rightarrow phipi^{+}pi^{-}$ describe the experimental data up to 1 GeV well, with the resonance contributions from the $f_{0}(980)$ and $rho$. For the predicted invariant mass distributions of the $B^{0} rightarrow phipi^{+}pi^{-}$ decay, we found that the contributions from the $f_{0}(500)$ are significant except for the ones from the $f_{0}(980)$ state. With some experimental branching ratios as input to determine the production vertex factors, we make some predictions for the branching ratios of the other final decay channels, including the vector mesons, in the $B^0_{(s)}$ decays, where some of them are consistent with the experimental ones within the uncertainties.
Within the framework of covariant confined quark model, we compute the transition form factors of $D$ and $D_s$ mesons decaying to light scalar mesons $f_0(980)$ and $a_0(980)$. The transition form factors are then utilized to compute the semileptonic branching fractions. We study the channels namely, $D_{(s)}^+ to f_0(980) ell^+ u_ell$ and $D to a_0(980) ell^+ u_ell$ for $ell = e$ and $mu$. For computation of semileptonic branching fractions, we consider the $a_0(980)$ meson to be the conventional quark-antiquark structure and the $f_0(980)$ meson as the admixture of $sbar{s}$ and light quark-antiquark pairs. Our findings are found to support the recent BESIII data.
We suggest that the recently observed charmed scalar mesons $D_0^{0}(2308)$ (BELLE) and $D_0^{0,+}(2405)$ (FOCUS) are considered as different resonances. Using the QCD sum rule approach we investigate the possible four-quark structure of these mesons and also of the very narrow $D_{sJ}^{+}(2317)$, firstly observed by BABAR. We use diquak-antidiquark currents and work to the order of $m_s$ in full QCD, without relying on $1/m_c$ expansion. Our results indicate that a four-quark structure is acceptable for the resonances observed by BELLE and BABAR: $D_0^{0}(2308)$ and $D_{sJ}^{+}(2317)$ respectively, but not for the resonances observed by FOCUS: $D_0^{0,+}(2405)$.
Using a sample of $4.48times10^{8}$ $psi(3686)$ events collected with the BESIII detector at the BEPCII collider, we study the two-photon decays of the pseudoscalar mesons $pi^0$, $eta$, $eta^prime$, $eta(1405)$, $eta(1475)$, $eta(1760)$, and $X(1835)$ in $J/psi$ radiative decays using $psi(3686)topi^{+}pi^{-}J/psi$ events. The $pi^0$, $eta$ and $eta^prime$ mesons are clearly observed in the two-photon mass spectra, and the branching fractions are determined to be $B(J/psitogammapi^{0}to3gamma)=(3.57pm0.12pm0.16)times10^{-5}$, $B(J/psitogammaetato3gamma)=(4.42pm0.04pm0.18)times10^{-4}$, and $B(J/psitogammaetato3gamma)=(1.26pm0.02pm0.05)times10^{-4}$, where the first errors are statistical and the second systematic. No clear signal for $eta(1405)$, $eta(1475)$, $eta(1760)$ or $X(1835)$ is observed in the two-photon mass spectra, and upper limits at the $90%$ confidence level on the product branching fractions are obtained.
The new data on $rho,omega,phi$ radiative decays into $pi^0gamma,etagamma,etagamma$ from SND experiment at VEPP-2M $e^+e^-$ collider are presented.
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