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• W3082333378 abstract "Abstract The triple-alpha reaction is key to $^{12}$C production and is expected to occur in weakly coupled thermal plasmas as encountered in normal stars. We investigate how Coulomb screening affects the structure of a system of three alpha particles in such a plasma environment by precise three-body calculations within the Debye–Hückel approximation. A three-alpha model that has the Coulomb interaction modified in the Yukawa form is employed. Precise three-body wave functions are obtained by a superposition of correlated Gaussian basis with the aid of the stochastic variational method. The energy shifts of the Hoyle state due to the Coulomb screening are obtained as a function of the Debye screening length. The results, which automatically incorporate the finite-size effect of the Hoyle state, are consistent with the conventional result based on the Coulomb correction to the chemical potentials of ions that are regarded as point charges in a weakly coupled thermal plasma. We have given a theoretical basis to the conventional point-charge approach to the Coulomb screening problem relevant for nuclear reactions in normal stars by providing the first evaluation of the Coulomb corrections to the $Q$ value of the triple-alpha process that produces a finite-size Hoyle state." @default.
• W3082333378 created "2020-09-08" @default.
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• W3082333378 date "2020-08-31" @default.
• W3082333378 modified "2023-10-03" @default.
• W3082333378 title "Coulomb screening correction to the Q value of the triple-alpha process in thermal plasmas" @default.
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• W3082333378 doi "https://doi.org/10.1093/ptep/ptaa093" @default.
• W3082333378 hasPublicationYear "2020" @default.
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