Final state polarization of protons in $pp \to pp \omega$

TL;DR

This paper derives model-independent formulas for the polarization and spin correlations of protons in the final state of the $pp o pp\, ext{ extomega}$ reaction, enabling empirical determination of all six threshold partial wave amplitudes.

Contribution

It introduces formulas for final state proton polarizations and spin correlations that require only unpolarized beams and targets, aiding complete empirical amplitude analysis.

Findings

Formulas for polarization and spin correlations derived.

All six partial wave amplitudes can be empirically determined.

Measurements can complement previous double differential level analyses.

Abstract

Model independent formulae are derived for the polarizations and spin correlations of protons in the final state of $pp \to pp\omega $, taking into consideration all the six threshold partial wave amplitudes $f_1, ..., f_6$ covering $Ss, Sp$ and $Ps$ channels. It is shown that these measurements of the final state spin observables, employing only an unpolarized beam and an unpolarized target, may be utilized to complement measurements, at the double differential level, suggested earlier [Phys. Rev. \textbf{C78}, 01210(R)(2009)] so that all the six partial wave amplitudes may be determined empirically.