Tensor-Optimized Shell Model with Bare Nucleon-Nucleon Interaction for 4He
Tensor-Optimized Shell Model with Bare Nucleon-Nucleon Interaction for 4He
复制标题
DOI：
10.1143/ptp.121.511
复制
发表时间：
2009-01
影响因子：
--
通讯作者：
T. Myo;H. Toki;K. Ikeda
中科院分区：
文献类型：
--
作者：
T. Myo;H. Toki;K. Ikeda
核子间的π交换产生了强的张量相互作用，对原子核的结合能有很大的吸引贡献。这种非中心张量相互作用在壳模型框架中很难处理，这阻碍了对核结构的全面理解。我们发展了强张量相互作用的张量优化壳模型（TOSM），现在我们能够使用裸核子核子相互作用的帮助下的么正相关算符方法（UCOM）的短程硬核。我们采用核子-核子相互作用AV_8 ′，计算了~4He的基态，并与严格的少体模型计算作了详细的比较。我们展示了大量的成功的张量优化壳模型与裸核子核子相互作用的4 He。主题索引：205，206，210，211，213发展一个理论框架来计算具有多核子的核结构是很重要的，这是通过两个核子散射得到的真实核子-核子相互作用来实现的。最近，利用真实的核子-核子相互作用，计算质量高达约A 12 1）-3）的原子核已成为可能。计算方法是采用相对核子坐标的绿色函数蒙特卡罗方法。该方法在原子核波函数中引入了各种变参数的关联函数。在GFMC中，通过引入三体相互作用，成功地再现了核结构和结合能。一个很大的惊喜是一个π介子交换相互作用的贡献非常大，约占整个核子-核子相互作用的70 - 80%。原则上，他们可以扩展这种方法来计算更重的原子核。然而，即使以目前的计算机能力，这也是非常耗时的。因此，迫切需要发展一种利用核子-核子相互作用计算大核子数核的新方法。核子-核子相互作用具有鲜明的特点，即存在
The pion exchange between nucleons generates a strong tensor interaction, which provides a large attractive contribution for the binding energy of nucleus. This noncentral tensor interaction is difficult to handle in the shell model framework, which hinders full understanding of nuclear structure. We develop the tensor-optimized shell model (TOSM) for the strong tensor interaction and now we are able to use bare nucleon-nucleon interaction with the help of the unitary correlation operator method (UCOM) for the short-range hard core. We adopt the nucleon-nucleon interaction, AV8 � , and calculate explicitly the ground state of 4 He and make a detailed comparison with rigorous few-body model calculations. We show a large amount of success of the tensor-optimized shell model with bare nucleon-nucleon interaction for 4 He. Subject Index: 205, 206, 210, 211, 213 It is important to develop a theoretical framework to calculate nuclear structure with many nucleons using the realistic nucleon-nucleon interaction, which is obtained from two nucleon scattering. Recently, it has become possible to calculate nuclei up to a mass of approximately A ∼ 12 1)–3) using the realistic nucleon-nucleon interaction. The method used for the calculation is the Green’s function MonteCarlo method (GFMC) with the use of relative nucleon coordinates. This method introduces various correlation functions with many variational parameters in the nuclear wave function. In GFMC, the nuclear structures and binding energies were successfully reproduced by including three-body interaction. One big surprise is the extremely large contribution of the one pion exchange interaction, which is about 70 ∼ 80% of the entire nucleon-nucleon interaction. In principle, they can extend this method to calculate heavier nuclei. It is, however, extremely time-consuming even with the present computer power. Hence, it is strongly desired to develop a new method of calculating nuclei with large nucleon numbers using the nucleon-nucleon interaction. The nucleon-nucleon interaction has distinctive features, namely there exist