Probing Time-Dependent Fundamental Constants with Nucleosynthesis in Population III Stars

Variations of fundamental physical constants have been sought for many years using various astronomical objects because their discovery can be key to developing beyond-standard physics. In particular, nuclear reaction rates are sensitive to fundamental constants, so nucleosynthetic processes can be used as a probe. We calculate the evolution and nucleosynthesis of massive Population III stars with the time-dependent nucleon–nucleon interaction ${\delta }_{\mathrm{NN}}$ , which may have left traces in elemental abundances in extremely metal-poor stars. The results are compared with the abundances in the most iron-poor star that has ever been discovered, namely, SMSS J031300.36-670839.3. It is found that calcium production in Population III stars is very sensitive to variations of the triple- $\alpha$ reaction rate and hence ${\delta }_{\mathrm{NN}}$ . We conclude that variations of the nucleon–nucleon interaction are constrained as $-0.002<{\delta }_{\mathrm{NN}}<0.002$ at the redshift $z\sim 20$ , assuming that calcium in SMSS J031300.36-670839.3 originates from hydrogen burning in a massive Population III star.