# Sivers Differential Cross Section for $\pi+X$ Production via $p^{\uparrow}+p$ Collisions, and the Quark Sivers Function

## TL;DR

This paper estimates the Sivers differential cross section for pion production in polarized proton collisions and derives the Sivers function using experimental data and quark distribution functions.

## Contribution

It introduces a method to estimate the Sivers differential cross section and extract the Sivers function from experimental data involving polarized proton collisions.

## Key findings

- Estimated the Sivers differential cross section from experimental data.
- Derived the Sivers function using quark distribution functions.
- Provided insights for future experiments to determine the Collins fragmentation function.

## Abstract

We recently estimated pion+X production via proton collisions with a polarized proton target to enable the Collins fragmentation function to be determined via future experiments. In the present article we first estimate the Silvers differential cross section obtianed from experiments with the target proton having both positive and negative polarizations, and then estimate the Sivers Function using quark distribution functions.