The quantum shape phase transition between the spherical and deformed γ-unstable ($U(5)-O(6)$) even-even nuclei within the frameworks of Interacting Boson Model-1 and 2 (IBM-1,2) for low-lying states, using the “entanglement entropy” (S) has been studied. In both frameworks, the theoretical results showed that there exist minimum and maximum entanglement values between s bosons in the U(5) and O(6) limits, respectively. In order to confirmation of the theoretical results, we have calculated and analyzed the entanglement entropy of $s-d$ bosons and proton (π) - neutron (ν) bosons in Cerium (${}_{58}{}^{122-136}Ce$) isotopes. The results indicate that the entanglement entropy correctly describes the transition from U(5) to O(6), for ground state ($0_1^{+}$), but it cannot accurately determine the transitional nucleus.

球形和变形之间的量子形状相变γ-不稳定（$U（5）-氧（6）$）在相互作用玻色子模型 1 和 2 (IBM-1,2) 的框架内，使用“纠缠熵”(S) 对低位态的偶偶原子核进行了研究。在这两个框架中，理论结果表明，s玻色子之间分别在U(5)和O(6)极限内存在最小和最大纠缠值。为了验证理论结果，我们计算并分析了$s-d$玻色子和质子 (π) - 中子 (ν) 铈中的玻色子 (${}_{58}{}^{122-136}Ce$）同位素。结果表明，纠缠熵正确描述了从 U(5) 到 O(6) 的转变，对于基态 ($0_1^{+}$），但不能准确确定移行核。