The European Physical Journal D ( IF 1.5 ) Pub Date : 2021-03-02 , DOI: 10.1140/epjd/s10053-021-00084-w Anjan Sadhukhan , Santanu Mondal , Sujay Kr. Nayek , Jayanta K. Saha
Abstract
Bound state energy (E) and the position (\(E_r\)) and width (\(\Gamma \)) of the first S symmetry doubly excited Feshbach resonance state of various symmetrical three-body systems (XYY) bound via screened Coulomb (SC) interaction have been reported using soft-wall strategy of stabilization method. Explicitly correlated multi-exponent Hylleraas-type basis set has been considered under the Ritz variational framework. Critical nuclear charges of the systems in its ground state (\(Z_c\)) as well as in Feshbach resonance state (\({\mathcal {Z}}_c\)) for various screening parameters (\(\lambda \)) have been evaluated. First-order quantum phase transition (QPT) for all the systems has been reported in its ground state. Effect of different mass combination of the constituents particles on critical points of the systems has been explored extensively.
Graphic Abstract
中文翻译:
对称量子三体系统中的量子相变
摘要
第一个S对称性的受束缚态能量(E)以及位置(\(E_r \))和宽度(\(\ Gamma \))通过屏蔽库仑约束的各种对称三体系统(XYY)的双激发Feshbach共振态(SC)相互作用已报道使用稳定方法的软壁策略。在Ritz变分框架下,已经考虑了显式相关的多指数Hylleraas型基础集。对于各种筛选参数(\(\ lambda \),处于系统基态(\(Z_c \))和Feshbach共振状态(\({\ mathcal {Z}} _ c \)的系统中的关键核电荷)已被评估。据报道,所有系统的一阶量子相变(QPT)处于基态。已经广泛地探索了组成颗粒的不同质量组合对系统临界点的影响。