generator坐标Brink集团模型与非定域集团模型的等价性及核内$α$集团结构的超实性
Equivalence of generator coordinate Brink cluster model and nonlocalized cluster model and supersolidity of $α$ cluster structure in nuclei
摘要：
发现$α$团簇结构同时具有明显相反的结晶性和凝聚性双重性质。给出了生成坐标法（GCM）中空间定域Brink $α$团簇模型与基于$α$团簇凝聚的非定域团簇模型（NCM）THSR（Tohsaki-Horiuchi-Schuck-R $\ddot{\rm o}$ pke）波函数的数学等价性.后者被发现是一个等价的代表性的局域集团模型，这是一个自然的结果，许多NCM（THSR）计算再现进行集团模型计算使用GCM和共振基团方法（RGM）。已成功使用了半个多世纪的局部聚类模型将继续发挥巨大的作用。这种等效性是不相容方面的双重性的表现：由于$α$团簇的凝聚而产生的结晶性和相干波性质，即超固体的双重性质。泡利原理导致了对偶性。讨论了超固态的证据，即由全球相位的自发对称性破缺引起的Nambu-Goldstone模的出现
英文摘要：
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
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