$^{12}$C+$^{12}$C和$^{16}$O+$^{16}$O系统低能弹性散射与聚变的比较折叠模型研究
Comparative folding-model study of low-energy elastic scattering and fusion of the $^{12}$C+$^{12}$C and $^{16}$O+$^{16}$O systems
AI总结：
研究$^{12}$C+$^{12}$C和$^{16}$O+$^{16}$O系统低能弹性散射与聚变，基于M3Y-Reid相互作用参数化CDM3YR，用双折叠模型计算实光学势，对比不同相互作用下结果，探索介质效应影响。
AI中文摘要：
基于原始的M3Y-Reid相互作用，参数化了一种密度依赖的核子-核子相互作用（CDM3YR），以在非相对论Hartree-Fock计算中正确再现对称核物质（NM）的饱和特性，NM能量与微观从头算结果在高达饱和密度三倍的密度范围内吻合良好。然后在双折叠模型（DFM）中，使用$^{12}$C和$^{16}$O核的实际密度以及CDM3YR相互作用，计算对称的$^{12}$C+$^{12}$C和$^{16}$O+$^{16}$O系统的实光学势，用于低能弹性散射的光学模型分析以及在势垒穿透模型中确定$^{12}$C+$^{12}$C和$^{16}$O+$^{16}$O聚变的天体物理S因子。还用原始的（密度无关的）M3Y-Reid相互作用以及Esbensen等人建议的排斥芯进行了DFM计算，以探索CDM3YR相互作用密度依赖性中有效编码的介质效应的影响。
英文摘要：
A density dependent nucleon-nucleon interaction (CDM3YR) has been parametrized based on the original M3Y-Reid interaction, to properly reproduce the saturation properties of symmetric nuclear matter (NM) in the nonrelativistic Hartree-Fock calculation, with the energy of NM in a good agreement with the microscopic \emph{ab-initio} results over densities up to three times the saturation density. The real optical potential (OP) of symmetric $^{12}$C+$^{12}$C and $^{16}$O+$^{16}$O systems is then calculated within the double-folding model (DFM), using the realistic densities of $^{12}$C and $^{16}$O nuclei and CDM3YR interaction, for the optical model analysis of elastic scattering at low energies and determination of the astrophysical $S$ factor of $^{12}$C+$^{12}$C and $^{16}$O+$^{16}$O fusion in the barrier penetration model. The DFM calculation of the real OP for these two symmetric systems was also done using the original (density independent) M3Y-Reid interaction, and that added by a repulsive core suggested by Esbensen {\it et al.} to explore the impact of medium effects that are effectively encoded in the density dependence of the CDM3YR interaction.
