Convective-reactive nucleosynthesis of K, Sc, Cl and p-process isotopes in O-C shell mergers

We address the deficiency of odd-Z elements P, Cl, K and Sc in galactic chemical evolution models through an investigation of the nucleosynthesis of interacting convective O- and C shells in massive stars. 3D hydrodynamic simulations of O-shell convection with moderate C-ingestion rates show no dramatic deviation from spherical symmetry. We derive a spherically averaged diffusion coefficient for 1D nucleosynthesis simulations which show that such convective-reactive ingestion events can be a production site for P, Cl, K and Sc. An entrainment rate of $10^{-3}{{\rm M}_\odot}$/s features overproduction factors $OP_\mathrm{s} \approx 7$. Full O-C shell mergers in our 1D stellar evolution massive star models have overproduction factors $OP_\mathrm{m}>1 \mathrm{dex}$ but for such cases 3D hydrodynamic simulations suggest deviations from spherical symmetry. p-process species can be produced with overproduction factors of $OP_\mathrm{m}>1 \mathrm{dex}$, e.g. for $^{130,132}Ba$. Using the uncertain prediction of the $15{{\rm M}_\odot}$, $Z=0.02$ massive star model ($OP_\mathrm{m} \approx 15$) as representative for merger or entrainment convective-reactive events involving O- and C-burning shells, and assume that such events occur in more than 50% of all stars, our chemical evolution models reproduce the observed Galactic trends of the odd-Z elements.
Comment: 6 pages, 6 figures, accepted for publication in MNRAS