标题： 非相对论性迹异常和密集费米子物质的状态方程 显示英文标题

标题： Non-relativistic trace anomaly and equation of state in dense fermionic matter

摘要： 我们理论上研究了一种非相对论性迹异常及其在空间一维三组分费米系统的低温状态方程中的影响，这些系统具有三体相互作用，并表现出从束缚三聚物气体到高密度费米物质的非平凡三体交叉现象。 通过将$G$-矩阵方法应用于三体相互作用，我们得到了与高密度简并态有关的基态状态方程的解析表达式，从而探讨了三体接触（或等效地，迹异常）的出现方式。 分析结果与最近的量子蒙特卡洛数据进行了比较。 我们对迹异常和声速的研究可能与致密星中强子-夸克交叉物理有一定的相关性。 显示英文摘要

摘要： We theoretically investigate a non-relativistic trace anomaly and its impact on the low-temperature equation of state in spatially one-dimensional three-component fermionic systems with a three-body interaction, which exhibit a non-trivial three-body crossover from a bound trimer gas to dense fermionic matter with increasing density. By applying the $G$-matrix approach to the three-body interaction, we obtain the analytical expression for the ground-state equation of state relevant to the high-density degenerate regime and thereby address how the three-body contact or, equivalently, the trace anomaly emerges. The analytical results are compared with the recent quantum Monte Carlo data. Our study of the trace anomaly and the sound speed could have some relevance to the physics of hadron-quark crossover in compact stars.