Radiative scalar meson decay in the light-front quark model

We construct a relativistic ³P₀ wave function for scalar mesons within the framework of the light-front quark model (LFQM). This scalar wave function is used to perform relativistic calculations of absolute widths for the radiative decay processes (0⁺⁺)→γγ, (0⁺⁺)→φγ, and (0⁺⁺)→ργ which incorporate the effects of glueball-qq̄ mixing. The mixed physical states are assumed to be f₀(1370), f₀(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 φ→(0⁺⁺)γ and (0⁺⁺)→γγ involving the light scalars f ₀(980) and a₀(980) to test the simple qq model of these mesons. Our results of the qq̄ model for these processes are not consistent with well-established data, further supporting the idea that f₀(980) and a₀(980) are not conventional qq̄ states.