Radiative Scalar Meson Decays in the Light-Front Quark Model

Abstract

We construct a relativistic ${}^3{P}_0$ wavefunction for scalar mesons within the framework of light-front quark model(LFQM). This scalar wavefunction is used to perform relativistic calculations of absolute widths for the radiative decay processes$(0^{++})\to \gamma \gamma ,(0^{++})\to \varphi \gamma$, and $(0^{++})\to \rho \gamma$ which incorporate the effects of glueball-$q\bar{q}$ mixing. The mixed physical states are assumed to be $f_0(1370),f_0(1500)$,and $f_0(1710)$ for which the flavor-glue content is taken from the mixing calculations of other works. Since experimental data for these processes are poor, our results are compared with those of a recent non-relativistic model calculation. We find that while the relativistic corrections introduced by the LFQM reduce the magnitudes of the decay widths by 50-70%, the relative strengths between different decay processes are fairly well preserved. We also calculate decay widths for the processes $\varphi \to (0^{++})\gamma$ and $(0^{++})\toγ\gamm$ involving the light scalars $f_0(980)$ and $a_0(980)$ to test the simple $q\bar{q}$ model of these mesons. Our results of $q\bar{q}$ model for these processes are not quite consistent with well-established data, further supporting the idea that $f_0(980)$ and $a_0(980)$ are not conventional $q\bar{q}$ states.

10 pages, 4 figures

References in corpus (17)

• A comprehensive lattice study of SU(3) glueballs
• Scalar mesons above and below 1 GeV
• Resurrection of the Sigma Meson
• Is $f_0(1500)$ a Scalar Glueball?
• UNDERSTANDING THE SCALAR MESON $q\bar{q}$ NONET
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• Scalar Mesons in $\varphi$ Radiative Decay: their implications for spectroscopy and for studies of CP-violation at $\varphi$ factories
• Proton-Antiproton Annihilation and Meson Spectroscopy with the Crystal Barrel
• Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model
• Scalar Glueball-qqbar Mixing above 1 GeV and implications for Lattice QCD
• Light-Front Quark Model Analysis of Exclusive $0^{-}$$\to$$0^{-}$ Semileptonic Heavy Meson Decays
• QCD Spectroscopy
• Kaon electroweak form factors in the light-front quark model
• Angular Conditions,Relations between Breit and Light-Front Frames, and Subleading Power Corrections
• K-Matrix Analysis of the (${IJ}^{PC}=00^{++}$) Amplitude in the Mass Region up to 1550 MeV
• Radiative decays: a new flavour filter
• The $\varphi a_0\gamma$- and $\varphi \sigma \gamma$-vertices in light cone QCD

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