论文标题
具有广告/QCD的非线性重新轨迹
Non-linear Regge trajectories with AdS/QCD
论文作者
论文摘要
在这项工作中，我们考虑了在静态软壁模型的背景下，我们考虑了非二次的dilaton $φ（z）=（κ\，z）^{2-α} $，以描述从光到重型部门的各种媒介介子的质谱。这种非二次方法的效果将通用形式$ m^2 = a \，（n+b）^ν$转化为非线性regge轨迹。我们将这种拟合适用于$ω$，$ ϕ $，$ j/ψ$和$υ$介子的等值量状态，并与相应的全息偶进行比较。我们还通过使用一组参数集将这些想法扩展到重型扇区，以通过平均构成质量$ \ bar {m} $来推断$κ$和$α$的适当值。在同一方向上，我们使用$ \ bar {m} $作为全息阈值（与外来状态的结构相关的全息阈值）来解决可能的非$ q \，\ bar {q} $候选者的描述，以定义$κ$和$ a $的值。我们在光线领域研究$π_1$介子，以及$ z_c $，$ y $和$ z_b $梅森在重型部门中，作为可能的异国情调矢量状态。最后，描述具有15个参数的27个状态的RMS错误（分别为$κ$和$α$的四个值和$ \ bar {m} $）的7个值为$ 12.61 \％$。
In this work, we consider a non-quadratic dilaton $Φ(z)=(κ\,z)^{2-α}$ in the context of the static soft wall model to describe the mass spectrum of a wide range of vector mesons from the light up to the heavy sectors. The effect of this non-quadratic approach is translated into non-linear Regge trajectories with the generic form $M^2=a\,(n+b)^ν$. We apply this sort of fits for the isovector states of $ω$, $ϕ$, $J/ψ$ and $Υ$ mesons and compare with the corresponding holographic duals. We also extend these ideas to the heavy-light sector by using the isovector set of parameters to extrapolate the proper values of $κ$ and $α$ through the average constituent mass $\bar{m}$ for each mesonic specie considered. In the same direction, we address the description of possible non-$q\,\bar{q}$ candidates using $\bar{m}$ as a holographic threshold, associated with the structure of the exotic state, to define the values of $κ$ and $α$. We study the $π_1$ mesons in the light sector, and the $Z_c$, $Y$ and $Z_b$ mesons in the heavy sector as possible exotic vector states. Finally, the RMS error for describing these twenty-seven states with fifteen parameters (four values for $κ$ and $α$ respectively and seven values for $\bar{m}$) is $12.61\%$.
