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

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.

Comments: 7 pages, 4 figures, conference