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arXiv 1206.0910hep-phhep-th
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用全息术研究小$x$强子结构函数从软坡密子到硬坡密子的转变

Transition from soft- to hard-Pomeron in the structure functions of hadrons at small-$x$ from holography

Akira Watanabe, Katsuhiko Suzuki

摘要:

本文在全息QCD框架下研究了Bjorken- $x$小区域的核子和π介子结构函数,特别强调了AdS空间波函数的作用。利用Pomeron交换的BPST核,在AdS空间中计算Pomeron交换与靶强子的耦合,得到了小- $x$的$F_2$结构函数.质子$F^p_2$和π介子$F^π_2$的计算结果与中子的深度非弹性散射和前向电生的实验数据是一致的。从软非微扰$(Q^2 \sim 0)$到硬微扰$(Q^2 \gg 1 GeV^2)$区域,观察到的Pomeron截距的$Q^2$依赖性得到了很好的再现。我们发现软和硬Pomeron之间的相互作用与强子和虚光子的AdS波函数的行为密切相关。

英文摘要:

We study the nucleon and pion structure functions at small Bjorken-$x$ region in the framework of holographic QCD with a special emphasis on the roles of AdS space wave functions. Using the BPST kernel for the Pomeron exchange and calculating its coupling to target hadrons in the AdS space, we obtain $F_2$ structure functions at the small-$x$. Results for the proton $F^p_2$ as well as the pion $F^π_2$ are consistent with experimental data of the deep inelastic scattering and the forward electroproduction of a neutron. Observed $Q^2$ dependence of the Pomeron intercept is well reproduced from soft non-perturbatibve $(Q^2 \sim 0)$ to hard perturbative $(Q^2 \gg 1 GeV^2)$ region. We find the interplay between soft and hard Pomerons is closely related with behavior of AdS wave functions of hadrons and the virtual photon.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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