Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-05-05
Phys.Rev. D50 (1994) 6855-6862
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages, uuencoded postscript file with 7 figures, MIT-CTP-2295; CMU-HEP94-15
Scientific paper
10.1103/PhysRevD.50.6855
Two competing models for strong hadronic decays, the $^3P_0$ and $^3S_1$ models, are currently in use. Attempts to rule out one or the other have been hindered by a poor understanding of final state interactions and by ambiguities in the treatment of relativistic effects. In this article we study meson decays in both models, focussing on certain amplitude ratios for which the relativistic uncertainties largely cancel out (notably the $S/D$ ratios in $b_1\rightarrow\pi\omega$ and $a_1\rightarrow\pi\rho$), and using a Quark Born Formalism to estimate the final state interactions. We find that the $^3P_0$ model is strongly favoured. In addition, we predict a $P/F$ amplitude ratio of $1.6\pm .2$ for the decay $\pi_2\rightarrow\pi\rho$. We also study the parameter-dependence of some individual amplitudes (as opposed to amplitude ratios), in an attempt to identify a ``best'' version of the $^3P_0$ model.
Geiger Paul
Swanson Eric S.
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