AI 中文总结
本研究采用有限温度有限密度QCD求和规则，探究热致密核物质中开粲矢量介子$D_s^{*}$、$D^{*}$的介质性质，明确其质量与衰变常数随温度、密度的变化规律及粒子-反粒子劈裂特征。
AI 中文摘要
我们在有限温度与有限密度QCD求和规则框架下，研究热与致密核物质中开粲矢量介子$D_s^{*}$和$D^{*}$的介质内性质。分析纳入了依赖温度与密度的夸克和胶子凝聚，以及由轻夸克凝聚约束的介质内连续谱阈值。通过求解所得QCD求和规则，我们确定了$(T,\rho)$平面宽区域内$D_s^{*\u00b1}$和$D^{*\u00b1}$介子的介质内质量与轻子衰变常数。两种矢量介子均经历显著的介质内软化，其质量与轻子衰变常数随重子密度升高而降低；质量对重子密度呈非单调依赖，而轻子衰变常数在所研究的整个密度范围内单调递减。温度升高通常会削弱密度诱导的修正，不过重子密度仍是介质内演化的主导驱动因素。最大质量偏移出现在中高密区域，$D_s^{*-}$介子约为$-413\\ \mathrm{MeV}$，$D^{*-}$介子约为$-207\\ \mathrm{MeV}$；在最高研究密度下，两种道的轻子衰变常数均降低超过68%。我们进一步研究了有限重子密度诱导的质量与轻子衰变常数的粒子-反粒子劈裂，有限重子密度解除了电荷共轭态的真空简并，而温度升高通常会抑制由此产生的不对称性。尽管奇异道与非奇异道表现出相似的定性行为，但在介质内修正和粒子-反粒子劈裂方面存在定量差异。
英文摘要
We investigate the in-medium properties of the open-charm vector mesons $D_s^{*}$ and $D^{*}$ in hot and dense nuclear matter within the framework of finite-temperature and finite-density QCD sum rules. The analysis incorporates temperature- and density-dependent quark and gluon condensates together with an in-medium continuum threshold constrained by the light-quark condensate. By solving the resulting QCD sum rules, we determine the in-medium masses and leptonic decay constants of the $D_s^{*\pm}$ and $D^{*\pm}$ mesons over a broad region of the $(T,ρ)$ plane. Both vector mesons undergo substantial in-medium softening, with their masses and leptonic decay constants decreasing as the baryon density increases. The masses exhibit a non-monotonic dependence on baryon density, whereas the leptonic decay constants decrease monotonically throughout the investigated density range. Increasing temperature generally weakens the density-induced modifications, although baryon density remains the dominant driver of the in-medium evolution. The largest mass shifts occur at intermediate-to-high densities, reaching approximately $-413~\mathrm{MeV}$ for the $D_s^{*-}$ meson and $-207~\mathrm{MeV}$ for the $D^{*-}$ meson, while the leptonic decay constants are reduced by more than $68\%$ in both channels at the highest densities considered. We further investigate the particle--antiparticle splittings of the masses and leptonic decay constants induced by finite baryon density. Finite baryon density lifts the vacuum degeneracy between the charge-conjugate states, while increasing temperature generally suppresses the resulting asymmetries. Although the strange and non-strange channels exhibit similar qualitative behavior, quantitative differences emerge in both the in-medium modifications and the particle--antiparticle splittings. ....
Comments15 Pages, 10 Figures and 1 Table
