Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 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 are taken into account within the
Debye-H\"uckel 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 shifts do not depend on these
models and follow 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.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc