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- W3177752414 abstract "The first excited $$J^{pi }=0^+$$ state of $$^{12}$$ C, the so-called Hoyle state, plays an essential role in a triple- $$alpha $$ ( $$^{4}$$ He) reaction, which is a main contributor to the synthesis of $$^{12}$$ C in a burning star. We investigate the Coulomb screening effects on the energy shift of the Hoyle state in a thermal plasma environment using precise three- $$alpha $$ model calculations. The Coulomb screening effect between $$alpha $$ clusters is taken into account within the Debye-Hückel approximation. To generalize our study, we utilize two standard $$alpha $$ -cluster models, which treat the Pauli principle between the $$alpha $$ particles differently. We find that the energy shift does not depend on these models and follows a simple estimation in the zero-size limit of the Hoyle state when the Coulomb screening length is as large as a value typical of such a plasma consisting of electrons and $$alpha $$ particles." @default.
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- W3177752414 date "2021-07-02" @default.
- W3177752414 modified "2023-10-11" @default.
- W3177752414 title "Coulomb Screening Effect on the Hoyle State Energy in Thermal Plasmas" @default.
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- W3177752414 doi "https://doi.org/10.1007/s00601-021-01633-0" @default.
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