Dytrych Tomás, Sviratcheva Kristina D, Bahri Chairul, Draayer Jerry P, Vary James P
Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA.
Phys Rev Lett. 2007 Apr 20;98(16):162503. doi: 10.1103/PhysRevLett.98.162503.
Clear evidence for symplectic symmetry in low-lying states of 12C and 16O is reported. Eigenstates of 12C and 16O, determined within the framework of the no-core shell model using the J-matrix inverse scattering potential with A<or=16 (JISP16) nucleon-nucleon (NN) realistic interaction, typically project at the 85%-90% level onto a few of the most deformed symplectic basis states that span only a small fraction of the full model space. The results are nearly independent of whether the bare or renormalized effective interactions are used in the analysis. The outcome confirms Elliott's SU(3) model which underpins the symplectic scheme, and above all, points to the relevance of a symplectic no-core shell model that can reproduce experimental B(E2) values without effective charges as well as deformed spatial modes associated with clustering phenomena in nuclei.
有报道称，在¹²C和¹⁶O的低能态中存在辛对称性的确切证据。¹²C和¹⁶O的本征态是在无芯壳模型框架内，使用A≤16（JISP16）核子 - 核子（NN）真实相互作用的J矩阵逆散射势确定的，通常在85% - 90%的水平上投影到少数几个最变形的辛基态上，这些基态仅占整个模型空间的一小部分。结果几乎与分析中使用裸有效相互作用还是重整化有效相互作用无关。这一结果证实了支撑辛方案的埃利奥特SU(3)模型，最重要的是，表明了辛无芯壳模型的相关性，该模型可以在没有有效电荷的情况下重现实验B(E2)值，以及与原子核中的聚类现象相关的变形空间模式。
