标题： 锆和铌同位素中相互交织的量子相变 显示英文标题

标题： Intertwined quantum phase transitions in the zirconium and niobium isotopes

摘要： 位于$A\approx100$区域的核表现出复杂的形状演化和构型交叉特征。 研究偶偶核及其相邻奇数质量核进一步揭示了变形和形状相变的出现。 我们采用相互作用玻色子模型的代数框架以及具有构型混合的新相互作用玻色子 - 费米子模型，以研究中子数为52-70（$^{40}$Zr）的偶偶锆核以及52-62的奇数铌（$_{41}$Nb）同位素。 我们将能级、波函数构型与对称性内容、双中子分离能以及$E2$跃迁概率的变化进行了比较。 两种同位素链之间的比较表明这两种链中都发生了交织量子相变（IQPTs）。 这种情况发生在两种构型（正常构型和入侵构型）穿过II型量子相变（QPT）临界点时，并且入侵构型自身经历从球形（弱耦合情形）到轴向变形旋转器（强耦合情形）的I型形状演化 QPT 在Zr（Nb）同位素中。 显示英文摘要

摘要： Nuclei in the $A\approx100$ region exhibit intricate shape-evolution and configuration crossing signatures. Exploring both even-even and their adjacent odd-mass nuclei gives further insight on the emergence of deformation and shape-phase transitions. We employ the algebraic frameworks of the interacting boson model with configuration mixing and the new interacting boson-fermion model with configuration mixing in order to investigate the even-even zirconium with neutron number 52-70 ($^{40}$Zr) and odd-mass niobium ($_{41}$Nb) isotopes with 52-62. We compare between the evolution in energy levels, configuration and symmetry content of the wave functions, two neutron separation energies and $E2$ transition rates. The comparisons between the two chains of isotopes denote the occurrence of intertwined quantum phase transitions (IQPTs) in both chains. Such a situation occurs when two configurations, normal and intruder, cross through the critical point of a Type II quantum phase transition (QPT), and the intruder configuration undergoes on its own a Type I shape-evolution QPT from a spherical shape (weak coupling scenario) to axially deformed rotor (strong coupling scenario) in the Zr (Nb) isotopes.