Transversly Polarized Proton-Proton Collisions and the Collins Fragmentation Function

TL;DR

This paper reviews the Sivers Function and defines the Collins Fragmentation Function, estimating pion production in polarized proton-proton collisions at 200 GeV using these functions.

Contribution

It introduces a method to estimate pion production in polarized p-p collisions utilizing the Collins Fragmentation Function derived from gluon distributions.

Findings

Estimated $1^{+},1^{-}$ production rates

Application of Collins Function to polarized p-p collisions

Insights into hadronization mechanisms in polarized collisions

Abstract

The Sivers Function is briefly reviewed and the Collins Fragmentation Function to produce a hadron from a polarized quark is defined. We estimate $\pi^{+},\pi^{-}$ +X production, where X represents particles which are not detected, via proton collisions with a polarized proton target using the Collins Fragmentation Function derived using the gluon distribution functions for polarized p-p collisions at E=$\sqrt{s}$=200 GeV.