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In high-energy astrophysical processes involving compact objects, such ascore-collapse supernovae or binary neutron star mergers, neutrinos play animportant role in the synthesis of nuclides. Neutrinos in these environmentscan experience collective flavor oscillations driven by neutrino-neutrinointeractions, including coherent forward scattering and incoherent(collisional) effects. Recently, there has been interest in exploring potentialnovel behaviors in collective oscillations of neutrinos by going beyond theone-particle effective or "mean-field" treatments. Here, we seek to exploreimplications of collective neutrino oscillations, in the mean-field treatmentand beyond, for the nucleosynthesis yields in supernova environments withdifferent astrophysical conditions and neutrino inputs. We find that collectiveoscillations can impact the operation of the {\nu}p-process and r-processnucleosynthesis in supernovae. The potential impact is particularly strong inhigh-entropy, proton-rich conditions, where we find that neutrino interactionscan nudge an initial {\nu}p process neutron rich, resulting in a uniquecombination of proton-rich low-mass nuclei as well as neutron-rich high-massnuclei. We describe this neutrino-induced neutron capture process as the"{\nu}i process". In addition, nontrivial quantum correlations among neutrinos,if present significantly, could lead to different nuclide yields compared tothe corresponding mean-field oscillation treatments, by virtue of modifying theevolution of the relevant one-body neutrino observables.

Collective neutrino oscillations and heavy-element nucleosynthesis in supernovae: exploring potential effects of many-body neutrino correlations