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arXiv 1707.04517nucl-th
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四元组波函数方法研究$^{20}$ Ne中的类α聚类

Alpha-like clustering in $^{20}$Ne from a quartetting wave function approach

G. Röpke, P. Schuck, C. Xu, Z. Ren, M. Lyu, B. Zhou, Y. Funaki, H. Horiuchi, A. Tohsaki, T. Yamada

摘要:

四元组($α$样聚类)发生在低密度物质($\le 0.03$ fm $^{-3}$)中,其存在于例如,在原子核的表面。对于$α$预处理,感兴趣的是计算重核(例如$^{212}$ Po)的$α$衰变,但也计算轻核(例如,$^{20}$ Ne),其显示出强烈的四联体特征。我们分析的内在结构的$α$类集群和质心运动的四重奏,特别是泡利阻塞的作用。通过引入准粒子核子态,改进了子核的M-Fermi模型。对谐振子基态的计算表明,四重态质心运动的有效势在核心核内几乎保持恒定。讨论了与THSR(Tohsaki-Horiuchi-Schuck-Röpke)方法的关系。

英文摘要:

Quartetting ($α$-like clustering) occurs in low density matter ($\le 0.03$ fm$^{-3}$) which exists, e.g., at the surface of nuclei. It is of interest for the $α$ preformation to calculate the $α$ decay of heavy nuclei such as $^{212}$Po, but also in light nuclei (e.g., $^{20}$Ne) which shows strong signatures of quartetting. We analyze the intrinsic structure of the $α$-like cluster and the center of mass motion of the quartet, in particular the role of Pauli blocking. The Thomas-Fermi model for the (daughter) core nucleus is improved introducing quasiparticle nucleon states. Calculations performed for harmonic oscillator basis states show that the effective potential for the quartet center of mass motion remains nearly constant within the core nucleus. The relation to the THSR (Tohsaki-Horiuchi-Schuck-Röpke) approach is discussed.

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