Title: Non-relativistic QCD Study of Excited Bottomonia at Finite Temperatures on a Fine Lattice Show Chinese title

Title: 非相对论QCD在精细格点上有限温度下激发底夸克态的研究

Abstract: The temperature dependence of bottomonium correlators up to the 3S and 3P excited states are presented in the range $T \simeq 133-250$ MeV. These lattice calculations employ the non-relativistic QCD (NRQCD) approach for bottom quarks on (2+1)-flavor gauge backgrounds, using the highly improved staggered quark (HISQ) action near the physical point. The study utilizes a fine lattice spacing of 0.0493 fm at all temperatures. Extended bottomonium operators are implemented to achieve optimized overlaps with the targeted excited states, enhancing sensitivity to thermal effects. To probe in-medium modifications of excited bottomonia, we extract thermal widths and in-medium masses from bottomonium correlators, parameterizing the spectral function with a Gaussian ansatz. Our results confirm nonzero thermal widths for various bottomonium states as the temperature increases, while no significant mass shifts are observed. Additionally, we check that the in-medium properties of bottomonia are almost not affected by variations in the choice of extended operators. Show Chinese abstract

Abstract: 底onium关联函数在3S和3P激发态范围内的温度依赖性如$T \simeq 133-250$ MeV所示。 这些格点计算采用非相对论QCD（NRQCD）方法，在（2+1）-味规范背景上使用接近物理点的高改进阶梯夸克（HISQ）作用量。 该研究在所有温度下都采用精细的格点间距0.0493 fm。 实现了扩展的底onium算符，以实现与目标激发态的最佳重叠，从而增强对热效应的敏感性。 为了探测介质中激发态底onium的修改，我们从底onium关联函数中提取热宽度和介质中的质量，用高斯假设参数化谱函数。 我们的结果证实，随着温度升高，各种底onium状态的热宽度为非零，而没有观察到显著的质量位移。 此外，我们检查了介质中底onium的性质几乎不受扩展算符选择变化的影响。