标题： 核在中子星中的密度核合成微观研究 $\isotope[12]{C} + \isotope[12]{C}$ 中的压缩核反应 显示英文标题

标题： Microscopic study of nuclei synthesis in pycnonuclear reaction $\isotope[12]{C} + \isotope[12]{C}$ in neutron stars

摘要： 目的 在理解两个核碰撞过程中复合核是如何形成的基础上，研究中子星致密介质中的核素在聚核反应中的合成。 实现致密介质中聚核反应的核相互作用和融合的微观公式。 方法 (1) 在中子星致密介质中，通过簇模型的折叠近似研究聚核反应中的核合成。 (2) 使用多重内部反射方法研究致密介质中复合核的形成。 结果 (1) \isotope[24]{Mg} 的共振态波函数由两个 \isotope[12]{C} 核的相互作用确定。 (2) 首次确立了在致密恒星介质中复合核形成概率的明显极大值。 (3) 对于 Woods-Saxon 型势和具有壳模型近似波函数的折叠势之间的准束缚能差异是显著的。 (4) 在准束缚态中复合核的形成比在零点振动态中更有可能。 (5) 只有 $\isotope[12]{C} + \isotope[12]{C}$ 的第一个准束缚能小于势垒最大值。 在这些能量下，复合核系统具有势垒，防止其通过隧穿现象衰变。 这是在中子星中合成的新激发核 \isotope[24]{Mg}。 \item [结论] 采用折叠势的簇方法对复合核形成图像进行了显著修改，这是之前关于Woods-Saxon型势能所获得的结果。 最高精度由半现实核子-核子势和相互作用$p$-壳核内部结构的壳模型描述所创建的折叠势提供。 显示英文摘要

摘要： Purpose To investigate synthesis of nuclei in pycnonuclear reactions in dense medium of neutron stars on the basis of understanding, how the compound nucleus is formed during collision of two nuclei. To implement microscopic formulation of nuclear interactions and fusion in pycnonuclear reactions in dense medium. Methods (1) Nuclei synthesis in pycnonuclear reaction in dense medium of neutron star is investigated in the folding approximation of the cluster model. (2) Formation of compound nucleus in dense medium is studied with the method of Multiple Internal Reflections. Results (1) Wave functions of resonance states of \isotope[24]{Mg} are determined by interaction of two \isotope[12]{C} nuclei. (2) Clear maxima of probability of formation of compound nucleus in dense stellar medium are established at first time. (3) Difference between quasibound energies for potential of Woods-Saxon type and folding potentials with the shell-model approximation for wave functions is essential. (4) Formation of the compound nucleus is much more probable in the quasibound states than in states of zero-point vibrations. (5) Only the first quasibound energies for $\isotope[12]{C} + \isotope[12]{C}$ are smaller than the barrier maximums. At these energies compound nuclear system has barrier which prevents its decay going through tunneling phenomenon. This is the new excited nucleus \isotope[24]{Mg} synthesised in the neutron star. \item[Conclusions] Cluster approach with folding potential provides significant modification of picture of formation of compound nucleus, previously obtained concerning the potential of Woods-Saxon type. The highest precision is provided by the folding potential, created by semi-realistic nucleon-nucleon potential and shell-model description of the internal structure of interacting $p$-shell nuclei.