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The omega to rho pi transition and omega to rho 3 pi decay

J. L Lucio, M. Napsuciale, M. D. Scadron, V. M. Villanueva

arXiv, 1999

Abstract

We evaluate the omega to rho pi transition and the omega to 3 pi decay using a Quark Level Linear Sigma Model ($QLσM$). We obtain $g^{QLσM}_{ωρπ}= (10.33 - 14.75) GeV^{-1}$ to be compared with other model dependent estimates averaging to $g_{ωρπ} = 16 GeV^{-1}$. We show that in the $QLσM$ a contact term is generated for the $ω\to 3 π$ decay. Although the contact contribution by itself is small, the interference effects turn out to be important.

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