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We investigate both the systematic and statistical uncertainties associatedwith theoretical nuclear reaction rates of relevance during the i-process andexplore their impact on the i-process elemental production, and subsequently onthe surface enrichment, for a low-mass low-metallicity star during the earlyAGB phase. We use the TALYS reaction code (Koning et al. 2023) to estimate boththe model and parameter uncertainties affecting the photon strength functionand the nuclear level densities, hence the radiative neutron capture rates. TheSTAREVOL code (Siess et al. 2006) is used to determine the impact of nuclearuncertainties on the i-process nucleosynthesis in a 1 $M_{\odot}$ [Fe/H] = -2.5 model star during the proton ingestion event in the early AGB phase. Alarge nuclear network of 1160 species coherently coupled to the transportprocesses is solved to follow the i-process nucleosynthesis. We find that thenon-correlated parameter uncertainties lead the surface abundancesuncertainties of element with $Z\geq 40$ to range between 0.5 and 1.0 dex, withodd-$Z$ elements displaying higher uncertainties. The correlated modeluncertainties are of the same order of magnitude, and both model and parameteruncertainties have an important impact on potential observable tracers such asEu and La. Both the correlated model and uncorrelated parameter uncertaintiesneed to be estimated coherently before being propagated to astrophysicalobservables through multi-zone stellar evolution models. Many reactions arefound to affect the i-process predictions and will require improved nuclearmodels guided by experimental constraints. Priority should be given to thereactions influencing the observable tracers.

The intermediate neutron capture process: IV. Impact of nuclear model and parameter uncertainties