磁阈值与强子模型中$\phi$和$K^{*0}$的自旋分辨谱矩

中文摘要 AI 辅助

我们在具有恒定磁场的热强子模型中研究了$\phi$和$K^{*0}$的自旋分辨谱函数。通过将真实真空匹配与精确朗道能级、连接接触项和热散射项相结合，我们构造了静止系推迟传播子。所得的稳定子粒子计算结果在常见极限下与独立的碰撞核及已发表的表达式进行了对照验证。我们发现，闭合横向阈值会产生具有电子伏量级失谐的窄峰，其面积必须在小自旋谱矩的计算中予以分辨。我们通过对完整核的独立积分来检验峰面积的领先阈值估计。利用正的紧致子粒子谱，我们进而研究了有限的谱展宽如何改变局部阈值结构。逆传播子实部零点的消失由展宽相对于失谐的大小控制，而有限区域上的权重积分可以几乎保持不变。我们通过一个带有有界泰勒余项的加权恒等式将这种重新分布与平滑可接受矩联系起来，并评估了完整窗口对三种端点替换（包括补区域）的响应。对于具有固定平滑权重的稳定子粒子$\phi$谱，在两个最小采样场下的响应为负，且与$b^2$标度相容。硬窗口结果则呈现符号振荡，而赝标量混合显著改变了平滑响应系数。这些结果量化了对阈值和谱投影的敏感性；微观子粒子宽度和源匹配的实验自旋排列需要额外的输入。

英文摘要

We study the spin-resolved spectral functions of $ϕ$ and $K^{*0}$ in a thermal hadronic model with a constant magnetic field. We construct the rest-frame retarded propagators by combining real vacuum matching with exact Landau levels, connection contacts, and thermal scattering terms. The resulting stable-daughter calculation is checked against independent collision kernels and published expressions in common limits. We find that closed transverse thresholds give rise to narrow peaks with eV-scale detunings, whose areas must be resolved in the calculation of small spin spectral moments. We test the leading threshold estimate for the peak area by an independent integration of the full kernel. Using positive compact daughter spectra, we then investigate how a finite spectral spread changes the local threshold structure. The disappearance of zeros of the real part of the inverse propagator is controlled by the spread relative to the detuning, whereas the weight integrated over a finite patch can remain nearly unchanged. We relate this redistribution to smooth accepted moments through a weighted identity with a bounded Taylor remainder, and evaluate the complete-window response to three endpoint replacements, including the patch complement. For the stable-daughter $ϕ$ spectra with a fixed smooth weight, the response at the two smallest sampled fields is negative and compatible with $b^2$ scaling. Hard-window results instead oscillate in sign, and pseudoscalar mixing substantially changes the smooth response coefficient. These results quantify the sensitivity to thresholds and spectral projection; microscopic daughter widths and source-matched experimental spin alignment require additional input.

发表机构

• College of Physics, Jilin University（吉林大学物理学院）
• Center for Fundamental Physics, School of Mechanics and Optoelectronic Physics, Anhui University of Science and Technology（安徽理工大学力学与光电物理学院基础物理中心）

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