Intertwined quantum phase transitions in the Zr chain

An algebraic approach to intertwined quantum phase transitions in the Zr isotopes

The algebraic framework of the interacting boson model with configuration mixing is employed to demonstrate the occurrence of intertwined quantum phase transitions (IQPTs) in the $_{40}$Zr isotopes with neutron number 52-70. The detailed quantum and classical analyses reveal a QPT of crossing normal and intruder configurations superimposed on a QPT of the intruder configuration from U(5) to SU(3) and a crossover from SU(3) to SO(6) dynamical symmetries.

Intertwined Quantum Phase Transitions in the Zr Isotopes

We explore the situation of intertwined quantum phase transitions (IQPTs), for which a QPT involving a crossing of two configurations is accompanied by a shape evolution of each configuration with its own separate QPT. We demonstrate the relevance of IQPTs to the Zr isotopes, with such coexisting Type I and Type II QPTs, and ground state shapes changing from spherical to prolate axially deformed and finally to gamma-unstable. Evidence for this scenario is provided by a detailed comparison with experimental data, using a definite symmetry-based conceptual framework.

Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei

We introduce a new Bose-Fermi framework for studying spectral properties and quantum phase transitions (QPTs) in odd-mass nuclei, in the presence of configuration mixing. A detailed analysis of odd-mass Nb isotopes discloses the effects of an abrupt crossing of states in normal and intruder configurations (Type II QPT), accompanied by a gradual evolution from spherical- to deformed-core shapes within the intruder configuration (Type I QPT). The pronounced presence of both types of QPTs demonstrates, for the first time, the occurrence of intertwined QPTs in odd-mass nuclei.

奇质量Nb同位素中的交织量子相变

Intertwined quantum phase transitions in odd-mass Nb isotopes

本文利用具有组态混合的interacting boson-fermion model分析奇质量Nb同位素，首次揭示了正常与入侵组态间的Type II QPT及入侵组态内球形到形变的Type I QPT，证明了奇质量核中交织量子相变的发生。

锆和铌同位素中的交织量子相变

Intertwined quantum phase transitions in the zirconium and niobium isotopes

本文利用带组态混合的相互作用玻色子模型及其费米子扩展，研究锆和铌同位素的形状演化，揭示两条同位素链中正常组态与闯入组态交叉引发的交织量子相变。

奇数质量铌同位素中交织相变的量子和经典分析

Quantum and classical analyses of intertwined phase transitions in odd-mass Nb isotopes

研究通过量子和经典分析揭示奇数质量铌同位素中交织的量子相变特性及单粒子运动的影响。