衍射矢量介子光生的对偶弦论
Diffractive Vector Meson Photoproduction from Dual String Theory
摘要：
我们利用弦论和AdS/CFT研究了衍射矢量介子的光生。矢量介子$V$在质子上散射截面的大$s$行为主要是由软波密子$σ_V\sim s^{2ε-2α'_P/B}$决定的，其中从\cite{nastase2}的弦论模型来看，$ε$在10 GeV以下约为1/7，在更高的能量下约为1/11，但仍低于Froissart能量。这是由于黑洞在双重引力下的产生。在$ϕ$ -光生的介子Regge极点不作出贡献，所以我们处理一个纯粹的Pomeron贡献。这允许进行实验测试。在1-2 GeV的规范理论“Planck尺度”下，软Pomeron对不同矢量介子光生截面的贡献比不仅涉及明显的夸克模型因子，而且还涉及Boltzmann因子$e^{-4 M_V/T_0}$，其中$T_0$是对偶黑洞的温度.这些因素的存在在$ρ, ω, ϕ, J/ψ,$和$ψ(2S)$光产生的实验数据中得到证实，并且与贫乏的$Υ$光产生数据一致。在整个过程中，我们使用矢量介子优势，并从数据中，我们得到约为$1.3 GeV$的$T_0$，即规范理论的“普朗克尺度”，如预期的那样。实验软Pomeron起始标度$\hat{E}_R\sim 9$ GeV与规范理论普朗克标度$T_0 \sim 1.3$ GeV之比符合$N_c^2/N_c^{1/4}$的理论预言。
英文摘要：
We study diffractive vector meson photoproduction using string theory via AdS/CFT. The large $s$ behavior of the cross sections for the scattering of the vector meson $V$ on a proton is dominated by the soft Pomeron, $σ_V\sim s^{2ε-2α'_P/B}$, where from the string theory model of \cite{nastase2}, $ε$ is approximately 1/7 below 10 GeV, and 1/11 for higher, but still sub-Froissart, energies. This is due to the production of black holes in the dual gravity. In $ϕ$-photoproduction the mesonic Regge poles do not contribute, so that we deal with a pure Pomeron contribution. This allows for an experimental test. At the gauge theory "Planck scale" of about 1-2 GeV, the ratios of the soft Pomeron contributions to the photoproduction cross-sections of different vector mesons involve not only the obvious quark model factors, but also the Boltzmann factors $e^{-4 M_V/T_0}$, with $T_0$ the temperature of the dual black hole. The presence of these factors is confirmed in the experimental data for $ρ, ω, ϕ, J/ψ,$ and $ψ(2S)$ photoproduction and is compatible with the meager $Υ$ photoproduction data. Throughout, we use vector meson dominance, and from the data we obtain $T_0$ of about $1.3 GeV$, i.e. the gauge theory "Planck scale," as expected. The ratio of the experimental soft Pomeron onset scale $\hat{E}_R\sim 9$ GeV and of the gauge theory Planck scale, $T_0 \sim 1.3$ GeV conforms to the theoretical prediction of $N_c^2/N_c^{1/4}$.
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