发表机构
National Defence University; University of Tehran; Dogus University（国防大学; 德黑兰大学; 多乌斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
利用QCD求和规则，研究了热密介质中 $B^{0}$ 介子的质量和衰变常数随温度与重子化学势的变化，发现两者在高温或高化学势下消失，可作为QCD相变探针。
AI 中文摘要
我们在热密介质中对 $B^{0}$ 介子的谱参数进行了定量分析。在QCD两点求和规则的框架内，我们利用微扰谱密度和最高到质量维数五的非微扰贡献，计算了 $B^{0}$ 介子的质量和衰变常数，它们是温度 $T$ 和重子化学势 $\mu_B$ 的函数。对于不同的固定重子化学势值，我们的数值结果表明，$B^{0}$ 介子的质量和衰变常数都随温度先增加，达到最大值，然后逐渐减小，最终在足够高的温度下消失。相应的消失点分别位于温度区间 $(0.182-0.273)~\mathrm{GeV}$（质量）和 $(0.118-0.173)~\mathrm{GeV}$（衰变常数）。此外，随着重子化学势的增加，这些温度向较低值移动。另一方面，对于不同的固定温度，质量和衰变常数都随重子化学势的增加而略有初始增加，随后减小，最终在足够高的化学势下消失。衰变常数的消失点位于重子化学势区间 $(0.23-0.83)~\mathrm{GeV}$。对于质量，在 $T=0$ 时的减小比有限温度时弱得多；除这种情况外，对于不同的固定温度，质量的消失点位于重子化学势区间 $(0.38-1.43)~\mathrm{GeV}$。进一步观察到，随着温度升高，质量和衰变常数消失所对应的重子化学势值向较低值移动。在 $T \to 0$ 和 $\mu_B \to 0$ 极限下，我们恢复了真空结果，验证了我们的计算。我们的发现为在重离子碰撞实验中探测 $B^{0}$ 介子的性质提供了理论依据，并表明这些可观测量对介质条件敏感，可作为QCD相变的探针。
英文摘要
We perform a quantitative analysis of the $B^{0}$ meson spectroscopic parameters in a hot and dense medium. Within the framework of QCD two-point sum rules, we calculate the mass and decay constant of the $B^{0}$ meson with the help of the perturbative spectral density and nonperturbative contributions up to mass dimension five as functions of temperature $T$ and baryon chemical potential $μ_B$. For various fixed values of the baryon chemical potential, our numerical results indicate that both the mass and decay constant of the $B^{0}$ meson initially increase with temperature, reach a maximum, and then gradually decrease before eventually vanishing at sufficiently high temperatures. The corresponding vanishing points are found to be in the temperature intervals $(0.182-0.273)~\mathrm{GeV}$ and $(0.118-0.173)~\mathrm{GeV}$, for the mass and decay constant, respectively. Moreover, these temperatures move toward lower values as the baryon chemical potential increases. On the other hand, for various fixed temperatures, both the mass and decay constant exhibit a slight initial increase with increasing baryon chemical potential, followed by a subsequent decrease, eventually vanishing at sufficiently high chemical potentials. The vanishing points for the decay constant is determined to be in baryon chemical potential interval $(0.23-0.83)~\mathrm{GeV}$. For the mass, the decrease at $T=0$ is much weaker than at finite temperatures; excluding this case, the vanishing points for the mass are determined to be in baryon chemical potential interval $(0.38-1.43)~\mathrm{GeV}$ for different fixed temperatures. It is further observed that the baryon chemical potential values corresponding to the vanishing of both the mass and decay constant move to lower values as the temperature increases. In the $T \to 0$ and $μ_B \to 0$ limit ...
Comments11 Pages, 3 Figures and 3 Tables
