Odd Systems in Deformed Relativistic Hartree Bogoliubov Theory in Continuum

In order to describe the exotic nuclear structure in unstable odd-A or odd-odd nuclei,the deformed relativistic Hartree Bogoliubov theory in continuum is extended to incorporate the blocking effect due to the odd nucleon.For a microscopic and self-consistent description of pairing correlations,continuum,deformation,blocking effects,and the extended spatial density distribution in exotic nuclei,the deformed relativistic Hartree Bogoliubov equations are solved in a Woods Saxon basis in which the radial wave functions have a proper asymptotic behavior at large r.The formalism and numerical details are provided.The code is checked by comparing the results with those of spherical relativistic continuum Hartree Bogoliubov theory in the nucleus 19O.The prolate deformed nucleus 15 C is studied by examining the neutron levels and density distributions.

能量密度泛函理论和有限力程可分离对相互作用研究核的超流性质

在相对论密度泛函理论框架下引入了可分离的对相互作用,它的参数是由拟合核物质中Gogny力对关联性质来确定。在有限核的相对论Hartree-Bogoliubov和相对论准粒子无规位相近似的理论框架下,建立了可分离对相互作用在球形核和变形核中粒子-粒子道矩阵的计算方法。通过Talmi和Moshinsky变换,这种新的对相互作用在坐标空间下可以展开成一系列可分离项,并且很快收敛。它不仅保持了平移不变性,而且作为有限力程的对力,可以避免零程对力在高动量截断的困难。通过对Sn同位素链核基态、E2和E3激发态性质,以及Sm同位素链基态的性质研究,发现可分离对相互作用能够再现用Gogny对力得到的球形核的超流性质,并能够很好地符合已有的实验结果。这种方法还可用来描述任意微观对相互作用,并推广于三轴形变原子核以及转动系统的研究。为考虑角动量投影和粒子数投影的生成坐标(GCM)方法和粒子-振动耦合(PVC)理论提供更加真实的对关联性质描述。