基于Gogny力的壳模型计算

壳模型是核结构计算的一个基本模型，它能计算原子核的基态、各种激发态性质和各种衰变跃迁，因具有极强的计算预言能力而备受喜欢。但壳模型计算比较复杂，实现满意的定量结果不容易，主要在二个方面的困难：1）如何获得“足够好”的有效二体相互作用矩阵元；2）如何有效控制模型空间，使得数值计算在计算机能力范围内有效进行。基于目前的壳模型发展状况，我们首次尝试从有限力程Gogny势出发，希望获得“好的”两体相互作用矩阵元；同时优化壳模型计算方法，使得缩小模型空间，但又不失计算精度，实现壳模型的高效数值计算。Gogny势已经成功用于平均场计算，但还没有用于壳模型计算，所以这是一个很好的创新性尝试。我们将建立基于Gogny势的壳模型计算程序，计算研究不同质量区原子核的结构性质（包括衰变性质），滴线区核将是我们的计算重点，同时把计算推向重核区。

Shell model is a basic quantum model for the calculations of nuclear structures. It can calculate the properties of nuclear ground states and various excited states including their decays. Due to its powerfull capacities for predictions, shell model has been attracting great attention since it appeared. Shell model calculation involves many complicated processes. It is not always possible to obtain good quantitative results. Usually, we encounter two main probelms: 1) how to get "good enough" two-body matrix elements (TBME's) of the effetive interaction for shell-model calculations; 2) how to improve the techniques of numerical calculations (matrix diagonalization) so that "good results" can be obtained in a reasonable model space. Considering the status of existing shell-model calculations, we propose for the first time to develop shell-model calculations starting from the finite-range Gogny force. TBME's are calculated using the Gogny force which has been successful in application to mean-field calculations but has not been used for shell-model calculations. We will try to establish a computational code for the Gogny+shell model, with possible improvements in the techniques of shell-model numerical calculations. We will investigate the structures of nuclei in differeent mass regions, including their decay properties. Our main interest would be in nuclei along the drip lines, and we hope that the calculations can also go to heavy mass regions.