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首页> 外文期刊>Journal of Physics, G. Nuclear and Particle Physics: An Institute of Physics Journal >Investigation of quantum phase transitions in the spdf interacting boson model based on dual algebraic structures for the four-level pairing model
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Investigation of quantum phase transitions in the spdf interacting boson model based on dual algebraic structures for the four-level pairing model

机译:基于双代数结构的四级配对模型spdf相互作用玻色子模型中的量子相变研究

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摘要

The building blocks of the interacting boson model (IBM) are associated with both s and d bosons for positive parity states. An extension of sd-IBM along these models to spdf-IBM can provide the appropriate framework to describe negative parity states. In this paper, a solvable extended transitional Hamiltonian based on the affine <(SU (1, 1))over cap> Lie algebra is proposed to describe low lying positive and negative parity states between the spherical and deformed gamma-unstable shape. Quantum phase transitions (QPTs) are investigated based on dual algebraic structures for the four-level pairing model. Numerical extraction to low-lying energy levels and transition rates within the control parameters of this evaluated Hamiltonian are presented for various N values. By reproducing the experimental results, the method based on the signatures of the phase transition, such as the expectation value of the boson number operators in the lowest excited states, are used to provide a better description of Ru isotopes in this transitional region.
机译:相互作用玻色子模型(IBM)的构造块与s玻色子和d玻色子相关联,以实现正校验状态。沿着这些模型将sd-IBM扩展为spdf-IBM可以提供适当的框架来描述负校验状态。本文提出了一种基于仿射<(SU(1,1))over cap> Lie代数的可解扩展过渡哈密顿量,用于描述球形和变形的γ不稳定形状之间的低平正负奇偶状态。基于双代数结构的四级配对模型研究了量子相变(QPT)。针对各种N值,给出了在此评估的哈密顿量控制参数范围内的低能级水平和过渡速率的数值提取。通过重现实验结果,基于相变特征的方法(例如处于最低激发态的玻色子数操纵子的期望值)可更好地描述该过渡区域中的Ru同位素。

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