SU(4)扩展线性Sigma模型中的手征相结构与粲介子质量的在介质修正
Chiral Phase Structure and In-Medium Modifications of Charmed Meson Masses within SU(4) extended Linear-Sigma Models
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中文总结 AI 辅助
该研究将线性sigma模型扩展至四味夸克，计算粲介子质量在热密介质中的修正，发现开粲D介子可作为手征恢复的精确指示器，并描绘出与格点QCD一致的交叉相边界。
中文摘要 AI 辅助
我们将Polyakov圈增强的线性sigma模型扩展至包含四种味道，并利用该模型分析轻夸克、奇异夸克及粲夸克介子质量谱从真空过渡到热密介质中的变化。在平均场近似下，我们确定了标量（$0^{++}$）、赝标量（$0^{-+}$）、矢量（$1^{--}$）和轴矢量（$1^{++}$）介子态的质量，涵盖开粲和隐粲组分，作为温度$T$和重子化学势$\mu_B$的函数。通过将参数校准至真空谱，粲自由度对于准确描述观测质量至关重要，且粲态通过改变其价夸克的轻夸克和奇异夸克凝聚体获得在介质中的修正。每种粒子似乎沿其独特轨迹熔化，但所有转变均发生在手征转变周围的窄带内。开粲$D$介子作为手征恢复的精确指示器：其质量在转变过程中显著增加，并反映非奇异夸克凝聚体，而隐粲态则基本不受影响，作为周围物质的参考标准。我们确定，来自三个独立测量的转变点描绘了手征相边界（$T_c$，$\mu_B$），其曲率与格点QCD预测一致，并且在所研究的整个范围内持续为交叉过渡，未显示临界终点。
英文摘要
We extend the Polyakov-loop-enhanced linear-sigma model to encompass four flavors and utilize it to analyze the light, strange, and charmed meson mass spectrum as it transitions from the vacuum into a hot and dense medium. Within the mean-field approximation, we determine the masses of scalar ($0^{++}$), pseudoscalar ($0^{-+}$), vector ($1^{--}$), and axial-vector ($1^{++}$) meson states, encompassing both open- and hidden-charm constituents, as functions of temperature $T$ and baryon chemical potential $μ_B$. With parameters calibrated to the vacuum spectrum, the charm degree of freedom proves essential for an accurate description of observed masses, and charmed states acquire their in-medium modifications from the light and strange condensates that modify their valence quarks. Each species seems to undergo melting along its distinct trajectory, yet all transitions occur within a narrow band surrounding the chiral transition. The open-charm $D$-meson functions as a precise indicator of chiral restoration: its mass increases substantially across the transition and reflects the non-strange condensate, whereas hidden-charm states remain largely unaffected and serve as reference standards for the surrounding matter. We establish that transition points from three independent measurements delineate the chiral phase boundary ($T_c$, $μ_B$), whose curvature matches lattice-QCD predictions and which persists as a crossover throughout the examined range, exhibiting no critical endpoint.
发表机构
- Assiut University（阿西尤特大学）
- Joint Institute for Nuclear Research (JINR)（联合核研究所）
- Islamic University of Medinah (IU)（麦地那伊斯兰大学）
- University of Hafr Al Batin (UHB)（海夫阿尔巴廷大学）
- Ahram Canadian University (ACU)（埃及加拿大大学）
机构由 AI 辅助整理，请以论文原文为准。
