AI 中文总结
该研究基于相互作用玻色子模型，通过角动量投影分析过渡核，验证了K固定投影的合理性，揭示旋转过渡系统四极形变随角动量拉伸的规律，还应用于解释¹⁷⁰Os的低自旋B(E2)异常行为。
AI 中文摘要
在相互作用玻色子模型（IBM）框架内，通过对内禀相干态进行角动量投影，开展了过渡核的几何分析。结果表明，计算中的K混合效应通常可忽略不计，验证了在IBM中对四极形变的自旋依赖进行半经典分析时，采用K固定投影的合理性。进一步分析显示，在旋转的过渡系统中，四极形变随角动量增加而拉伸，为常见的雅可比型跃迁提供了几何直观视角，以¹⁶⁰Gd和¹⁶²Dy的案例研究为例。该方法还被应用于¹⁷⁰Os的yrast态，以探究与观测到的低自旋B(E2)异常行为相关的四极形变变化，证明了基于IBM的角动量投影在解释奇特集体现象方面的能力。
英文摘要
Within the interacting boson model (IBM), a geometric analysis of transitional nuclei is carried out through angular momentum projection of the intrinsic coherent state. The results indicate that $K$-mixing effects in the calculations are typically negligible, validating the use of $K$-fixed projection for semiclassical analyses of the spin dependence of quadrupole deformation in the IBM. Further analysis indicates that in a rotating transitional system, quadrupole deformation is stretched with increasing angular momentum, providing a geometrically intuitive perspective on the commonly observed Jacobi-type transitions, as exemplified by the case studies of $^{160}$Gd and $^{162}$Dy. The method is additionally applied to the yrast states of $^{170}$Os to probe quadrupole deformation changes linked to the observed low-spin $B(E2)$ anomaly behavior, demonstrating the capability of IBM-based angular momentum projection in interpreting exotic collective phenomena.
Comments14 pages,9 figures
Journal refPhys. Rev. C 114, 024301 (2026)
