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arxiv: hep-ph/0409148 · v1 · pith:NFMU2OOOnew · submitted 2004-09-14 · ✦ hep-ph

The Glueball Candidate η(1440) as η Radial Excitation

classification ✦ hep-ph
keywords radialexcitationstatecannotglueballaccomodatedcalledcandidate
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The Particle Data Group decided to split the $\eta(1440)$ into two states, called $\eta_L$ and $\eta_H$. The $\eta(1295)$ and the $\eta_H$ are supposed to be the radial excitations of the $\eta$ and $\eta'$, respectively. The $\eta_L$ state cannot be accomodated in a quark model; it cannot be a $q\bar q$ state, however, it might be a glueball. In this contribution it is shown that that the $\eta(1295)$ does not have the properties which must be expected for a radially excited state. The splitting of the $\eta(1440)$ is traced to a node in the wave function of a radial excitation. Hence the two peaks, $\eta_L$ and $\eta_H$, originate from one resonance which is interpreted here as first radial excitation of the $\eta$.

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