arXiv 1104.41402011-04-20nucl-th

扁圆核中的α集团结构与密度波

Alpha-cluster structure and density wave in oblate nuclei

Yoshiko Kanada-En'yo, Yoshimasa Hidaka

备注：: 23 pages, 8 figures
发表信息：: Phys.Rev.C84:014313,2011
DOI：: 10.1103/PhysRevC.84.014313

摘要：

本文讨论了Si-28和C-12中的五角形和三角形与核密度波的关系。在反对称化的分子动力学计算中，Si-28中的$K^π=5^-$带和C-12中的$K^π=3^-$带分别用五边形和三角形描述.这些负宇称带可以解释为$K^π=0^+$基态的宇称伙伴，它们是由宇称非对称本征态构成的。五边形和三角形形状分别起源于7 α和3 α簇结构。在平均场图中，它们也可以用扁圆态边缘的静态一维密度波来描述。在用Brink-Bloch簇波函数分析理想α簇模型和用简化模型的分析中，我们证明了五边形和三角形的静态边缘密度波可以理解为轴对称的自发破缺，即，扁圆态相对于边缘密度波的不稳定性。质子-中子相干密度波在Z=N核中使密度波增强，而在Z \ne N核中使密度波被抑制。

英文摘要：

Pentagon and triangle shapes in Si-28 and C-12 are discussed in relation with nuclear density wave. In the antisymmetrized molecular dynamics calculations, the $K^π=5^-$ band in Si-28 and the $K^π=3^-$ band in C-12 are described by the pentagon and triangle shapes, respectively. These negative-parity bands can be interpreted as the parity partners of the $K^π=0^+$ ground bands and they are constructed from the parity-asymmetric-intrinsic states. The pentagon and the triangle shapes originate in 7alpha and 3alpha cluster structures, respectively. In a mean-field picture, they are described also by the static one-dimensional density wave at the edge of the oblate states. In analysis with ideal alpha cluster models using Brink-Bloch cluster wave functions and that with a simplified model, we show that the static edge density wave for the pentagon and triangle shapes can be understood by spontaneous breaking of axial symmetry, i.e., the instability of the oblate states with respect to the edge density wave. The density wave is enhanced in the Z=N nuclei due to the proton-neutron coherent density waves, while it is suppressed in Z\ne N nuclei.

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