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四重态巴丁-库珀-施里弗理论中富中子碲同位素的四重态关联增长

Growth of quartet correlations in neutron-rich tellurium isotopes within quartet Bardeen-Cooper-Schrieffer theory

Yixin Guo, Hiroyuki Sagawa, Masaaki Kimura

arXiv 2607.15700首次发表:更新:

发表机构

RIKEN Nishina Center for Accelerator-Based Science; Center for Mathematics and Physics, University of Aizu; Institute of Theoretical Physics, Chinese Academy of Sciences; Department of Physics, Graduate School of Science, The University of Tokyo; Quark Nuclear Science Institute, The University of Tokyo(RIKEN理化学研究所西村加速器科学中心; 会津大学数理物理中心; 中国科学院理论物理研究所; 东京大学理学研究科物理学系; 东京大学夸克核科学研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究富中子碲同位素的四重态关联,在四重态BCS框架下,以\(^{100}\)Sn为核心,考虑特定模型空间和相互作用求解方程,发现价中子数增加时,价四重态数等增长,质子占据变化,增强了四重态混合并重新分配质子权重。

AI 中文摘要

在四重态巴丁-库珀-施里弗(BCS)框架内研究富中子碲同位素的四重态关联。以\(^{100}\)Sn为惰性核心,考虑两个价质子和价中子占据\(2d_{5/2}\oplus1g_{7/2}\)模型空间,用与电荷无关的同位旋矢量配对相互作用求解四重态BCS变分方程。有效配对强度由碲同位素链中的经验中子配对间隙约束。发现价四重态数随价中子数从\(N_{\rm val}=2\)增加到\(14\)而增加,凝聚四重态分量也有相同增长行为。相对于传统的同类粒子BCS参考,\(1g_{7/2}\)轨道上的质子占据显著增强并接近简并加权极限。这些结果表明额外的价中子增强了关联四重态BCS态中的四重态混合,同时将固定的质子权重从配对状构型重新分配到四重态构型。

英文摘要

Quartet correlations in neutron-rich Te isotopes are investigated within the quartet Bardeen-Cooper-Schrieffer (BCS) framework. Taking $^{100}$Sn as an inert core, we consider two valence protons and valence neutrons occupying the $2d_{5/2} \oplus 1g_{7/2}$ model space, and solve the quartet BCS variational equations with a charge-independent isovector pairing interaction. The effective pairing strength is constrained from empirical neutron pairing gaps in the Te isotopic chain. We find that the valence quartet number increases as the valence neutron number is enlarged from $N_{\rm val}=2$ to $14$. The same increasing behavior is also found for the condensed quartet component. The proton occupation of the $1g_{7/2}$ orbit is strongly enhanced relative to the conventional like-particle BCS reference and is driven close to the degeneracy-weighted limit. These results suggest that additional valence neutrons enhance the quartet admixture in the correlated quartet BCS state, while redistributing the fixed proton weight from pair-like configurations to quartet configurations.

Comments10 pages, 5 figures

Journal refPhys. Rev. C 114, 034329 (2026)

DOI:10.1103/5hsp-ccsn

论文原文

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