# Parton distribution functions of $\Delta^+$ on the lattice

## TL;DR

This paper computes the parton distribution functions of the $
$ baryon using lattice QCD with large momentum effective theory, analyzing two ensembles with different pion masses and employing momentum smearing to enhance accuracy.

## Contribution

It provides the first lattice QCD results for the unpolarized quasi-distribution functions of the $
$ baryon using the large momentum effective theory with improved statistical methods.

## Key findings

- Successful extraction of renormalized matrix elements for the $
$ baryon
- Reduction of statistical errors through momentum smearing
- Analysis performed at two different pion masses

## Abstract

We present results for renormalized matrix elements related to the unpolarized quasi-distribution function of the $\Delta^+$ baryon making use of the large momentum effective theory. Two ensembles of $N_f=2+1+1$ twisted mass fermions with a clover term and pion masses of 250 MeV and 330 MeV are analyzed. We employ momentum smearing to improve the overlap with the boosted $\Delta$ state significantly reducing in this way the statistical error of both two- and three-point functions.