Coulomb Screening Effect on the Hoyle State Energy in Thermal Plasmas

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 main contributor to synthesis C burning star. We investigate Coulomb screening effects on energy shift thermal plasma environment using precise three- model calculations. effect between clusters taken into account within Debye-Hückel approximation. To generalize our study, we utilize two standard -cluster models, treat Pauli principle particles differently. find that does not depend these models and follows simple estimation zero-size limit when length as large value typical such consisting electrons particles.