采用现实核力描述多核子系统——原子核的性质一直是核物理研究的重要问题和前沿课题。Dirac-Brueckner-Hartree-Fock（DBHF）理论成功地给出了核物质的饱和性质，本申请将基于DBHF理论研究有限核的基态性质。.DBHF理论得到的核子自能是密度，同位旋不对称度和能量相关的，与构建微观光学势在同一框架下，采用改进的定域密度近似（ILDA）考虑表面效应，我们前期工作初步开展了对球形幻数核的基态性质的研究。本申请将继续开展这项研究，通过与DBHF自能得到的密度相关的介子耦合常数的相对论平均场研究比较，深入理解从核物质扩展到有限核计算的表面效应，并研究表面能与ILDA中有限力程的关系。对于开壳核，包含单核子的共振态，结合BCS方法研究对关联效应。本项目还将探索DBHF理论描述形变核性质的方法。用表面能约束的ILDA中有限力程研究相对论微观光学势的改进。

It is always the focus and frontier of nuclear physics to study the nuclear structure starting from the nucleon-nucleon force. It is well known that the nuclear saturation properties in nuclear matter could be well reproduced with the Dirac-Brueckner-Hartree-Fock (DBHF) approach. In this project we attend to extend the DBHF approach to study the ground state properties of finite nuclei..The nucleon self-energy within the DBHF theory depends on the density, the isospin asymmetry and the energy. In the same framework with the study of the microscopic optical potential (MOP), based on the DBHF theory and with the improved local density approximation (ILDA) to complement the surface energy we have investigated the finite nucleus properties and achieved a preliminary results. In this project we shall continue our investigations and further understood the surface effect in the calculations from nuclear matter to finite nuclei and the relationship between the finite range of nuclear force in ILDA and the surface energy in comparison with the results in the approaches of the relativistic mean field approximation with the density dependent effective meson coupling constants constrained by the DBHF self-energies. For open shell nuclei, the pairing correlations will be studies in the BCS theory and considering the single particle resonance states. The methods to extend to deformed nuclei based on the DBHF approach will be explored. The finite range in the ILDA constrained by the surface energy will be applied to make improvement on the relativistic MOP.