# The $S_{E1}$ factor of radiative $\alpha$ capture on $^{12}$C in effective field theory

## TL;DR

This paper uses effective field theory to calculate the $S_{E1}$ factor for radiative alpha capture on carbon-12 at energies relevant for stellar processes, providing a theoretical estimate at the Gamow peak.

## Contribution

It introduces an effective field theory approach to compute the $S_{E1}$ factor for the $^{12}$C($ ext{alpha}$, $ ext{gamma}$)$^{16}$O reaction, offering a new theoretical framework.

## Key findings

- First $S_{E1}$ value at the Gamow-peak energy of 0.3 MeV.
- Provides a strategy for reaction calculation in effective field theory.
- Initial result sets a foundation for future precise modeling.

## Abstract

The $S_{E1}$ factor of radiative $\alpha$ capture on $^{12}$C is studied in effective field theory. We briefly discuss the strategy for the calculation of the reaction and report a first result of $S_{E1}$ at the Gamow-peak energy, $E_G=0.3$~MeV.