Omega meson production in pp collisions with a polarized beam

TL;DR

This paper derives model-independent formulas for analyzing power and spin transfer in polarized proton-proton collisions producing omega mesons, focusing on empirical determination of key partial wave amplitudes without ambiguities.

Contribution

It introduces new model-independent formulas for analyzing power and spin transfer, enabling unambiguous empirical determination of partial wave amplitudes in omega meson production.

Findings

Derived formulas for $A_y$ and spin transfers in $pp o pp \, \omega$

Identified methods to determine lowest partial wave amplitudes $f_1, f_2, f_3$

Focused on threshold partial wave channels $Ss, Sp, Ps$

Abstract

Model independent formulae are derived for the beam analyzing power $A_y$ and beam to meson spin transfers in $pp \to pp \omega$ taking into consideration all the six threshold partial wave amplitudes covering the $Ss, Sp$ and $Ps$ channels. Attention is also focussed on the empirical determination of the lowest three partial wave amplitudes $f_1, f_2, f_3$ without any discrete ambiguities.