$\mathbf{{}^{12}{C} + {}^{12}{C}}$ Fusion $\boldsymbol{S^*}$-factor from a Full-microscopic Nuclear Model

TL;DR

This paper uses a full-microscopic nuclear model to describe the ${}^{12}C + {}^{12}C$ fusion reaction, accurately reproducing measured data and predicting resonances within the Gamow window, challenging previous suppression models.

Contribution

It is the first to apply a full-microscopic nuclear model to ${}^{12}C + {}^{12}C$ fusion, providing new resonance predictions and insights into the reaction's astrophysical $S$-factor.

Findings

Reproduces low-energy astrophysical $S$-factors accurately.

Predicts resonances in the Gamow window.

Contradicts the hindrance model by showing no low-energy suppression.

Abstract

The ${}^{12}\mathrm{C} + {}^{12}\mathrm{C}$ fusion reaction plays a vital role in the explosive phenomena of the universe. The resonances in the Gamow window rule its reaction rate and products. Hence, the determination of the resonance parameters by nuclear models is indispensable as the direct measurement is not feasible. Here, for the first time, we report the resonances in the ${}^{12}\mathrm{C} + {}^{12}\mathrm{C}$ fusion reaction described by a full-microscopic nuclear model. The model plausibly reproduces the measured low-energy astrophysical $S$-factors and predicts the resonances in the Gamow window. Contradictory to the hindrance model, we conclude that there is no low-energy suppression of the $S$-factor.