AI 中文总结
研究利用逆映射相对论平均场系综，结合多种数据研究迹反常与同位旋分裂问题。通过该系综再现相关趋势，分析分裂与各因素相关性，发现声速分裂变化及通道分离需结合多方面预测，此分裂可作高密度对称扇区热力学探针。
AI 中文摘要
迹反常和声速提供了致密物质非共形性的能态方程级别的探针，但它们本身并不能确定负责响应的微观通道。我们使用受手征有效场理论、重离子流信息和中子星质量-半径数据约束的均匀物质逆映射相对论平均场系综来研究这个问题。该系综再现了对称核物质中基于流的迹趋势，而β平衡物质更缓慢地接近中子星迹带。产生的分裂\(\Delta_{\SNM}-\Delta_{\betaeq}\)在\(2 - 5\nzero\)范围内保持正值，并且与同位旋矢量耦合的密度导数相关性最强，在\(2 - 3\nzero\)时自举稳定的斯皮尔曼系数\(r_s\simeq0.91 - 0.92\)。它与β平衡质子分数的相关性要弱得多。声速分裂在\(3.38\nzero\)附近改变符号，并且在\(4\nzero\)以上，导数项\(-\dd\Delta/\dd\ln\varepsilon\)对标量-矢量和同位旋响应都变得敏感。数据组合和受控同位旋测试表明，只有当实验室和天体物理预测相结合时，这种通道分离才能得到解决。因此，在当前的逆映射RMF空间内，SNM-β迹分裂充当高密度对称扇区的热力学探针，而不是奇异自由度的独特信号。需要有限核校准扩展来测试这种通道诊断在预测协变密度泛函中有多少能保留。
英文摘要
Trace anomaly and sound speed provide EOS-level probes of dense-matter nonconformality, but do not by themselves identify the microscopic channels responsible for the response. We study this question with a uniform-matter inverse-mapped relativistic mean-field ensemble constrained by chiral effective field theory, heavy-ion flow information, and neutron-star mass-radius data. The ensemble reproduces the flow-based trace trend in symmetric nuclear matter, while beta-equilibrated matter approaches the neutron-star trace bands more slowly. The resulting splitting, \(Δ_{\SNM}-Δ_{\betaeq}\), remains positive over \(2--5\nzero\) and is most strongly correlated with the density derivative of the isovector-vector coupling, with bootstrap-stable Spearman coefficients \(r_s\simeq0.91--0.92\) at \(2--3\nzero\). Its correlation with the beta-equilibrium proton fraction is much weaker. The sound-speed splitting changes sign near \(3.38\nzero\), and the derivative term \(-\ddΔ/\dd\ln\varepsilon\) becomes sensitive to both scalar-vector and isovector responses above \(4\nzero\). Data-combination and controlled-isovector tests show that this channel separation is resolved only when laboratory and astrophysical projections are combined. Thus, within the present inverse-mapped RMF space, the SNM--beta trace splitting acts as a thermodynamic probe of the high-density symmetry sector rather than as a unique signal of exotic degrees of freedom. A finite-nucleus-calibrated extension will be needed to test how much of this channel diagnostic survives in predictive covariant density functionals.
Comments25 pages, 8 figures
