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推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究
Quantum Phase Transition in an Extension of the Interacting Boson Model Based on Dual Algebraic Structure
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摘要: 本工作将相互作用玻色子模型推广为包含f-和p-玻色子的情形.利用仿射型( )代数方法,通过对偶代数结构数值计算了多分量玻色型对力问题.利用对偶关系解析构建了与哈密顿量及其基底相联系的,由幺正的粒子数守恒和非粒子数守恒算符构成的准旋代数.在经该模型对106-116Cd偶偶核素实验能谱拟合的基础上,计算了基态和低激发态中各种玻色子占有率,准γ带中相邻能级摇摆等几个能特征该区域核素形状相变的序参量.从而展示了这些中重质量核从振动到γ- 不稳定运动的形状相变行为.Abstract: An extension of the original interacting boson model to the multi-level case including negative parity f- and p-bosons is made. An affine ( ) algebraic approach is applied to solve the multi-level pairing problem numerically via the dual algebraic structure. The duality relation is explicitly used to construct the number-conserving unitary and number-nonconserving quasi-spin algebra, related with the Hamiltonian and the corresponding bases. After fitting to the experimental level energies of even-even 106-116Cd, several order parameters to signify the shape (phase) transition, such as occupation numbers of the bosons in the ground and a few lowest excited states, the level energy staggering in the (quasi)-γ band, are calculated to demonstrate the shape (phase) transitional behavior of these medium mass transitional nuclei.
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