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Decay $\phi (1020)\to \gamma f_0(980)$: analysis in the non-relativistic quark model approach

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arxiv hep-ph/0403123 v2 pith:UVQSYL63 submitted 2004-03-11 hep-ph

classification hep-ph
keywords quarkdecaygammamodelnon-relativisticadditiveamplitudeanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We demonstrate the possibility of a good description of the processes $\phi (1020)\to \gamma\pi\pi$ and $\phi (1020)\to \gamma f_0(980)$ within the framework of non-relativistic quark model assuming $f_0(980)$ to be dominantly quark--antiquark system. Different mechanisms of the radiative decay, that is, the emission of photon by the constituent quark (additive quark model) and charge-exchange current, are considered. We also discuss the status of the threshold theorem applied to the studied reactions, namely, the behaviour of the decay amplitude at $M_{\pi\pi} \to m_\phi$ and $m_{f_0}\to m_\phi$. In conclusion the arguments favouring the $q\bar q$ origin of $f_0(980)$ are listed.

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