论文标题
$α$ cluster结构$^{40} $ ca的超验证性
Supersolidity of $α$ cluster structure in $^{40}$Ca
论文作者
论文摘要
长期以来，基于几何构型图片，$α$簇结构已被长期以来理解。通过在发电机坐标方法中使用空间本地化的边缘$α$群集模型，可以表明$α$簇结构显然具有明显相反的结晶度和凝结二重性，这是Supersolids的属性。为了研究$α$群集结构的冷凝方面，引入了场理论超级流体群集模型（SCM），其中通过严格处理Nambu-goldstone模式来纳入凝结的顺序参数，这是由于全局相的自发对称性破裂而导致的。 $α$群集结构为$^{40} $ Ca，在结晶度图片中已被理解，由SCM研究了十$α$簇。发现除$^{40} $ ca的$α$群集结构外，SCM除了在上一篇论文中报告的$^{12} $ C外，还支持$α$群集结构的双重性。 $ 0^+$状态在$α$阈值能量附近的最低激发能量的出现被认为是nambu-goldstone零模式的一种体现，这是一种软模式，这是由于二元性与$^{12} $ c相似的二元性方面。 $α$簇结构的双重性具有不兼容的结晶度和由于凝结而引起的相干波性质，这是Pauli原理的结果，这会导致聚类。
$α$ cluster structure in nuclei has been long understood based on the geometrical configuration picture. By using the spatially localized Brink $α$ cluster model in the generator coordinate method, it is shown that the $α$ cluster structure has the apparently opposing duality of crystallinity and condensation, a property of supersolids. To study the condensation aspects of the $α$ cluster structure a field theoretical superfluid cluster model (SCM) is introduced, in which the order parameter of condensation is incorporated by treating rigorously the Nambu-Goldstone mode due to spontaneous symmetry breaking of the global phase. The $α$ cluster structure of $^{40}$Ca, which has been understood in the crystallinity picture, is studied by the SCM with ten $α$ clusters. It is found that the $α$ cluster structure of $^{40}$Ca is reproduced by the SCM in addition to $^{12}$C reported in a previous paper, which gives support to the duality of the $α$ cluster structure. The emergence of the mysterious $0^+$ state at the lowest excitation energy near the $α$ threshold energy is understood to be a manifestation of the Nambu-Goldstone zero mode, a soft mode, due to the condensation aspect of the duality similar to the Hoyle state in $^{12}$C. The duality of $α$ cluster structure with incompatible crystallinity and coherent wave nature due to condensation is the consequence of the Pauli principle, which causes clustering.
