In this study we present a unified phenomenological analysis of the scalar glueball and scalar meson spectra within an AdS/QCD framework in the bottom up approach. For this purpose we generalize the recently developed graviton soft-wall (GSW) model, which has shown an excellent agreement with the lattice QCD glueball spectrum, to a description of glueballs and mesons with a unique energy scale. In this scheme, dilatonic effects, are incorporated in the metric as a deformation of the AdS space. We apply the model also to the heavy meson spectra with success. We obtain quadratic mass equations for all scalar mesons while the glueballs satisfy an almost linear mass equation. Besides their spectra, we also discuss the mixing of scalar glueball and light scalar meson states within a unified framework: the GSW model. To this aim, the light-front (LF) holographic approach, which connects the mode functions of AdS/QCD to the LF wave functions, is applied. This relation provides the probabilistic interpretation required to properly investigate the mixing conditions.

在这项研究中，我们采用自下而上的方法，对AdS / QCD框架内的标量胶球和标量介子光谱进行了统一的现象学分析。为此，我们将最近开发的重力软壁（GSW）模型推广到描述具有独特能级的胶球和介子，该模型已与点阵QCD胶球光谱显示出极好的一致性。在此方案中，膨胀度量作为AdS空间的变形并入度量标准。我们也成功地将该模型应用于重介子谱。我们获得所有标量介子的二次质量方程，而胶球满足几乎线性的质量方程。除了它们的光谱，我们还讨论了在一个统一的框架（GSW模型）中标量胶球和轻量级介子状态的混合。为此，应用了将AdS / QCD的模式函数与LF波函数联系起来的光前（LF）全息方法。该关系提供了适当研究混合条件所需的概率解释。