arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1108.3291nucl-th
收藏

唯象和微观团簇模型II。相变

Phenomenological and microscopic cluster models II. Phase transitions

P. R. Fraser, H. Yépez-Martínez, P. O. Hess, G. Lévai

摘要:

本文在前人研究的基础上,通过相干态的几何映射,研究了两种代数集团模型中的相变,并进行了比较。半微观代数集团模型(SACM)与唯象代数集团模型(PACM)的区别在于前者严格遵守单个集团核子之间的泡利不相容原理,而后者则忽略了它。从技术角度看,SACM在数学上涉及更多,而PACM的形式更接近于具有不同物理内容的其它代数模型的形式。一阶和二阶相变被确定在两个模型中,而在SACM的临界线也出现。对氖-20和镁-24核的α团簇态进行了数值研究,对分析结果进行了补充。

英文摘要:

Based on the results of a previous paper (Paper I), by performing the geometrical mapping via coherent states, phase transitions are investigated and compared within two algebraic cluster models. The difference between the Semimicroscopic Algebraic Cluster Model (SACM) and the Phenomenological Algebraic Cluster Model (PACM) is that the former strictly observes the Pauli exclusion principle between the nucleons of the individual clusters, while the latter ignores it. From the technical point of view the SACM is more involved mathematically, while the formalism of the PACM is closer to that of other algebraic models with different physical content. First- and second-order phase transitions are identified in both models, while in the SACM a critical line also appears. Analytical results are complemented with numerical studies on α-cluster states of the neon-20 and magnesium-24 nuclei.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑