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Information about double parton distributions (DPDs) can be obtained bycalculating four-point functions on the lattice. We continue our study on thefirst DPD Mellin moment of the unpolarized proton by considering interferenceeffects w.r.t. the quark flavor. In our simulation we employ an $n_f = 2 + 1$ensemble with inverse coupling $\beta = 3.4$, and pseudoscalar masses of $m_\pi= 355~\mathrm{MeV}$ and $m_K = 441~\mathrm{MeV}$. The results are converted tothe $\overline{\mathrm{MS}}$-scheme at the scale $\mu = 2~\mathrm{GeV}$. Weanalyze the dependence of the considered Mellin moments on the quarkpolarization and compare our results with quark model predictions.

Double parton distributions in the nucleon on the lattice: Flavor interference effects