本项目拟基于相对论连续谱Hartree-Bogoliubov理论和相对论Hartree-Fock-Bogoliubov理论，系统研究低密度核物质与奇特原子核中的双中子关联现象。通过研究核物质对关联属性的密度及对力依赖行为，确定影响双中子关联强弱的微观物理机制及其特征物理判据，探索低密度核物质中出现强关联的双中子束缚态的可能性；通过研究丰中子原子核中的双中子空间关联行为，探索双中子关联与奇特原子核晕现象之间可能的联系，确定其对于弱束缚原子核结构稳定性所起的作用，并在中重质量原子核区域寻找具有双中子空间强关联特征的代表性原子核；基于相对论Hartree-Fock-Bogoliubov理论，进一步研究交换项各耦合道特别是张量耦合部分对于双中子关联现象以及奇特原子核结构稳定性的影响。由此，为深入理解核力的剩余相互作用在原子核系统中的效应及定量理解核力的微观属性提供参考。

Based on the relativistic continuum Hartree-Bogoliubov theory and the relativistic Hartree-Fock-Bogoliubov theory, the di-neutron correlations in low-density nuclear matter as well as in exotic nuclei will be systematically investigated in this project. The properties of pairing correlations in nuclear matter and the corresponding density-dependent or pairing strength-dependent behaviors will be studied in order to find characteristic quantities and microscopic physical mechanisms for deciding the strength of the di-neutron correlations. The possibility that a strong correlated di-neutron bound state appears in a low-density nuclear matter will be discussed as well. Then a systematical study on the di-neutron correlations will be carried out in neutron-rich nuclei. The relation between the di-neutron correlations and the halo structure of exotic nuclei, and the role of di-neutron correlations in keeping the stability of the structure of weakly-bound nuclei will be investigated in detail. Whether a strong di-neutron correlated nucleus could be found in medium or heavy nuclei is an interesting question to be clarified. Moreover, the influence of several meson coupling channels of the Fock terms and the corresponding tensor part on the di-neutron correlation behaviors will be studied in the relativistic Hartree-Fock-Bogoliubov calculations. It is expected that such a project will be helpful to understand the effect of the residual interaction of nuclear force in nuclear many-body system, and provide valuable theoretical information for the microscopic properties of nuclear force.