Impact of MvdW Equation of State and Neutrino Mass on r and s Process Heavy Element Nucleosynthesis in Spiral, Elliptical and Dwarf Galactic Environments and Kilonovae Events

Abstract: We present an analysis of heavy element production with massive neutrinos in galaxies of varying types (spiral, elliptical, and dwarf) and kilonovae events by incorporating a Multicomponent van der Waals (MvdW) equation of state (EoS) for the opacity functions. This EoS is applied to derive opacities and calculate the yields of isotopes formed in r-process and s-process nucleosynthesis, with and without the influence of neutrino masses or oscillations. We look at both the lanthanide and actinide sequences using the MvdW parameters that involve the interaction strength and excluded volume effects. Our results reflect the characteristic differences found in r and s processes in the synthesis and long-term evolution of isotopes from the U, Th, and Sr chain across galactic environments. The inclusion of neutrino masses enhances the neutron-to-proton ratio, favoring heavier r-process isotopes and altering the overall galactic yields by cross section suppression. These findings offer insights into the interplay of nuclear physics and astrophysical environments, highlighting the sensitivity of nucleosynthetic pathways to EoS modifications and neutrino physics. We compare these results to metallicity profiles of similar models: the Galactic Leaky Box, the Galactic Inflow, and the Galactic Closed Box models and to the kilonova event GW170781.