论文标题
发电机坐标边缘群集模型和非定位集群模型的等效性和$α$簇结构的超压等等效性
Equivalence of generator coordinate Brink cluster model and nonlocalized cluster model and supersolidity of $α$ cluster structure in nuclei
论文作者
论文摘要
发现$α$簇结构同时具有结晶度和冷凝的双重性质。发电机坐标方法（GCM）中空间本地化的边缘$α$群集模型的数学等效性和非定位群集模型（NCM），该模型（NCM）也称为THSR（Tohsaki-Horiuchi-schucki-schuck-schuck-schuck-schuck-r $ \ ddot {\ rm o} $ pke $ clessiate condens in condens $ condens $ condens $ condens $ condens in condens。发现后者是局部群集模型的等效表示，这是许多NCM（THSR）计算使用GCM和共振组方法（RGM）重现程序集群模型计算的自然结果。已成功使用半个多世纪的本地群集模型将继续非常强大。等效性是不兼容方面的双重性的表现：由于$α$簇的凝结，即结晶度和相干波性质，即超olid的双重性质。保利原理导致双重性。讨论了由全球阶段的自发对称性破坏引起的超验证性的证据，即nambu-goldstone模式的出现
It is found that $α$ cluster structure has the apparently opposing dual property of crystallinity and condensation simultaneously. The mathematical equivalence of the spatially localized Brink $α$ cluster model in the generator coordinate method (GCM) and the nonlocalized cluster model (NCM), which is also called the THSR (Tohsaki-Horiuchi-Schuck-R$\ddot{\rm o}$pke) wave function based on the condensation of $α$ clusters, is shown. The latter is found to be an equivalent representation of the localized cluster model and it is a natural consequence that the many NCM (THSR) calculations reproduce the proceeding cluster model calculations using the GCM and the resonating group method (RGM). Localized cluster models, which have been successfully used for more than half a century, will continue to be very powerful. The equivalence is a manifestation of the duality of incompatible aspects: crystallinity and coherent wave nature due to condensation of $α$ clusters, i.e. the dual properties of a supersolid. The Pauli principle causes the duality. The evidence for supersolidity, the emergence of a Nambu-Goldstone mode caused by the spontaneous symmetry breaking of the global phase, is discussed
