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We present a systematic investigation of few-nucleon systems and light nucleiusing the current LENPIC interactions comprising semilocal momentum-spaceregularized two- and three-nucleon forces up to third chiral order (N$^2$LO).Following our earlier study utilizing the coordinate-space regularizedinteractions, the two low-energy constants entering the three-body force aredetermined from the triton binding energy and the differential cross sectionminimum in elastic nucleon-deuteron scattering. Predictions are made forselected observables in elastic nucleon-deuteron scattering and in the deuteronbreakup reactions, for properties of the $A=3$ and $A=4$ nuclei, and forspectra of $p$-shell nuclei up to $A = 16$. A comprehensive error analysis isperformed including an estimation of correlated truncation uncertainties fornuclear spectra. The obtained predictions are generally found to agree withexperimental data within errors. Similar to the coordinate-space regularizedchiral interactions at the same order, a systematic overbinding of heaviernuclei is observed, which sets in for $A \sim 10$ and increases with $A$.

Light nuclei with semilocal momentum-space regularized chiral interactions up to third order