# Uncertainties in the 12C+12C reaction rate and their impact on the composition of ultra-massive WDs

## TL;DR

This study investigates how uncertainties in the 12C+12C nuclear reaction rates influence the chemical composition and evolution of ultra-massive white dwarfs originating from SAGB stars, using stellar modeling with varied reaction prescriptions.

## Contribution

It provides the first detailed analysis of how reaction rate uncertainties affect the core composition and evolution of SAGB progenitors leading to ultra-massive white dwarfs.

## Key findings

- Lower reaction rates delay carbon ignition by up to 2700 years.
- Ignition occurs further from the center with lower reaction rates.
- Differences in 20Ne core abundance are below 14%.

## Abstract

Stars with initial masses 7 Msun . MZAMS . 9 Msun reach temperatures high enough to ignite C under degenerate conditions after the end of He-core burning (Garcia-Berro & Iben 1994). These isolated stars are expected to evolve into the so-called super AGB (SAGB) phase and may end their lives as ultra-massive ONe WDs (see Siess 2006,2007, 2010; Camisassa et al. 2019, and references therein). The exact proportions of O and Ne found in the core at the end of the SAGB phase will determine the cooling times and pulsational properties of these WDs. Uncertainties affecting the rates of nuclear reactions occurring during the C burning phase should have a measurable impact on the distribution of 16O, 20Ne, 23Na and 24Mg and, consequently, on the evolution of the WD. Here we present a study of the impact of uncertainties in the 12C(12C, {\alpha})20Ne and 12C(12C, p)23Na nuclear reaction rates (and their branching ratios) on the chemical structure of intermediate- to high-mass progenitors at the end of the C-burning phase. Using the stellar evolution code Modules for Experiments in Stellar Astrophysics (MESA) we computed evolutionary sequences for stars with initial masses 7.25<= MZAMS /Msun <=8.25, from the ZAMS to the SAGB phase, adopting different prescriptions for the 12C+12C burning rates. We found that adopting lower reaction rates for the 12C+12C burning delays C-ignition by at most 2700 yrs, and the ignition takes place in a position further from the center. Our results shows that differences in the 20Ne central abundances remain modest, below 14%.