论文标题
从球形到变形区域的细胞核的核对近似
The nucleon-pair approximation for nuclei from spherical to deformed regions
论文作者
论文摘要
在本文中，我们使用三种方法选择集体核子对：普遍的资历方案，共轭梯度方法和Hartree-fock方法，在壳模型的核子对近似中进行模拟原子核的低洼状态。我们发现从广义资历方案获得的集体对为几乎球形的核提供了很好的描述，而偶联梯度方法或Hartree-fock方法的集体对很好地适用于过渡和变形的核。我们的NPA计算使用具有角度计量的集体对0、2和4（用$ dg $ pairs表示）重现$ n = 26 $ isotones，$^{46} $ ca，$^{48} $^{48} $ ti，$ ti，$ ti，$ ti，$ ti，$^{50} $ cr，及$^fe ful-fe fult，以及fe full-fult and count fult an Count，and count fult an Count，an状态中等重型过渡和变形核：$^{44-48} $ ti，$^{48} $ cr，$^{50} $ cr，$^{52} $^{52} $ fe，$^{60-64} $ zn，$ Zn，$ Zn，$^{64,66} $ ge，$^ $^{108-112} $ XE。最后，使用$ SDGI $ -PAIR近似，我们描述了$^{112,114} $ ba的低洼状态，通过常规配置相互作用方法难以与之达到案例。
In this paper we model low-lying states of atomic nuclei in the nucleon-pair approximation of the shell model, using three approaches to select collective nucleon pairs: the generalized seniority scheme, the conjugate gradient method, and the Hartree-Fock approach. We find the collective pairs obtained from the generalized seniority scheme provides a good description for nearly spherical nuclei, and those from the conjugate gradient method or the Hartree-Fock approach work well for transitional and deformed nuclei. Our NPA calculations using collective pairs with angular momenta 0, 2, and 4 (denoted by $SDG$ pairs) reproduce the nuclear shape evolution in the $N=26$ isotones, $^{46}$Ca, $^{48}$Ti, $^{50}$Cr, and $^{52}$Fe, and yield good agreement with full configuration-interaction calculations of low-lying states in medium-heavy transitional and deformed nuclei: $^{44-48}$Ti, $^{48}$Cr, $^{50}$Cr, $^{52}$Fe, $^{60-64}$Zn, $^{64,66}$Ge, $^{84}$Mo, and $^{108-112}$Xe. Finally, using the $SDGI$-pair approximation we describe low-lying states of $^{112,114}$Ba, cases difficult to reach by conventional configuration-interaction methods.
