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arXiv · 1907.09827

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

Yahui Chai·Yuan Li·Shicheng Xia·Constantia Alexandrou·Krzysztof Cichy·Martha Constantinou·Xu Feng·Kyriakos Hadjiyiannakou·Karl Jansen·Giannis Koutsou·Chuan Liu·Aurora Scapellato·Fernanda Steffens
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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.

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Yahui Chai, Yuan Li, Shicheng Xia, Constantia Alexandrou, Krzysztof Cichy, Martha Constantinou, Xu Feng, Kyriakos Hadjiyiannakou, Karl Jansen, Giannis Koutsou, Chuan Liu, Aurora Scapellato, Fernanda Steffens. 2019-07-23. Parton distribution functions of $\Delta^+$ on the lattice. https://arxiv.org/abs/1907.09827

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