标题： 原子核中竞争性的形状演化、交叉构型和单粒子能级 显示英文标题

标题： Competing shape evolution, crossing configurations and single particle levels in nuclei

摘要： 锆（Zr）同位素的形状演化多年来一直是研究的课题。 然而，由于实验可及性和计算挑战的限制，奇数质量的同位素没有得到广泛的调查。 这项工作采用含构型混合的相互作用玻色子-费米子模型，研究了快速形状演化和正常-入侵者构型交叉（两者都被确认为量子相变）以及单粒子能级演化对奇数质量 $^\text{93-103}$锆同位素正宇称谱的影响。 计算出的能量水平、磁矩、 $B(E2)$值和四极矩与实验数据进行了比较，显示出良好的一致性。 还讨论了位于两种量子相变临界点附近的特殊案例 $^{99}$锆，为最近争论中的 $7/2^+_1$同质异能态和II型壳层演化的出现提供了新的解释。 显示英文摘要

摘要： The evolution of shape in the even-even zirconium (Zr) isotopes has been the subject of study for many years. However, the odd-mass isotopes have not been investigated as extensively due to limited experimental accessibility and computational challenges. This work, employing the interacting boson-fermion model with configuration mixing, examines the effect of rapid shape evolution and normal-intruder configuration crossing -- both identified as quantum phase transitions -- alongside evolution in single particle energies, on the positive-parity spectrum of odd-mass $^\text{93-103}$Zr isotopes. Calculated energy levels, magnetic moments, $B(E2)$ values, and quadrupole moments are compared to experimental data, showing good agreement. The special case of $^{99}$Zr, which lies near the critical point of both quantum phase transitions, is also addressed, offering a new interpretation to the $7/2^+_1$ isomeric state and the occurrence of the type II shell evolution, in light of recent debates.