Stars produce carbon efficiently because carbon-12 has an excited nuclear state, known as the Hoyle state, that greatly increases the rate of the reaction that forms carbon from helium.
Why does nuclear physics allow stars to produce large amounts of carbon?
Carbon is essential to all known life. Yet making carbon inside a star is not simple.
Three helium nuclei must ultimately combine to form carbon-12. An important excited state of the carbon nucleus greatly increases the rate at which this can happen. It is called the Hoyle state.
In the 1950s, astronomer Fred Hoyle reasoned that stars needed a suitable carbon-12 energy level if they were to produce the amount of carbon known to exist. Experiments soon confirmed an excited state close to the required energy.
The Hoyle state is now an established part of our understanding of stellar nucleosynthesis.
Carbon can form long chains, rings, and complex three-dimensional molecules. That versatility makes carbon exceptionally useful for the chemistry of life.
The ability of stars to manufacture carbon therefore connects nuclear physics deep inside stars with the chemistry of living organisms.
The Hoyle state exists and strongly enhances the triple-alpha process that produces carbon-12 in stars. Its properties have been studied experimentally for decades.
Fine-tuning arguments propose that the relevant nuclear energy levels occupy a life-permitting range. Researchers have tested how changes in underlying nuclear physics would affect the production of carbon and oxygen.
Carbon production is not destroyed by every tiny change in the underlying physics. How much variation is possible remains an important part of evaluating the fine-tuning claim.
Hoyle state energy ≈ 7.65 MeV above the carbon-12 ground state. It strongly enhances the stellar triple-alpha reaction.
The Hoyle state is one of the most striking connections between fundamental nuclear properties and an element essential for life. Its existence is relevant to design arguments, but the strength of that argument depends upon how narrowly the underlying conditions are constrained.
The existence and importance of the Hoyle state are established science. Claims about the probability of that state or the exact amount by which constants could vary should be treated separately and supported by appropriate calculations.