Relevance of nucleon spin in amplitude analysis of reactions pi(-)p->pi(0)pi(0)n and pi(-)p->eta eta n

Abstract

The measurements of reactions $\ddot{I}{€}^{-}p\to \ddot{I}{€}^{-}\ddot{I}{€}^{+}n$ and $\ddot{I}{€}^{+}n\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}p$ on polarized targets at CERN found a strong dependence of pion production amplitudes on nucleon spin. Analyses of recent measurements of $\ddot{I}{€}^{-}p\to \ddot{I}{€}^0\ddot{I}{€}^{0}n$ reaction on unpolarized targets by GAMS Collaboration at 38 GeV/c and BNL E852 Collaboration at 18 GeV/c use the assumption that pion production amplitudes do not depend on nucleon spin, in conflict with the CERN results on polarized targets. We show that measurements of $\ddot{I}{€}^{-}p\to \ddot{I}{€}^0\ddot{I}{€}^{0}n$ and $\ddot{I}{€}^{-}p\to \hat{I}\cdot \hat{I}\cdot n$ on unpolarized targets can be analysed in a model independent way in terms of 4 partial-wave intensities and 3 independent interference phases in the mass region where $S$- and $D$-wave dominate. We also describe model-independent amplitude analysis of $\ddot{I}{€}^{-}p\to \ddot{I}{€}^0\ddot{I}{€}^{0}n$ reaction measured on polarized target, both in the absence and in the presence of $G$-wave amplitudes. We suggest that high statistics measurements of reactions $\ddot{I}{€}^{-}p\to \ddot{I}{€}^0\ddot{I}{€}^{0}n$ and $\ddot{I}{€}^{-}p\to \hat{I}\cdot \hat{I}\cdot n$ be made on polarized targets at Protvino IHEP and at BNL, and that model-independent amplitude analyses of this polarized data be performed to advance hadron spectroscopy on the level of spin dependent production amplitudes.

54 pages