arXiv 2106.007522021-06hep-phhep-exhep-thnucl-exnucl-th

软壁全息QCD中核子的电磁半径

Electromagnetic radii of the nucleon in soft-wall holographic QCD

Kiminad A. Mamo, Ismail Zahed

备注：: v2: significantly improved, 14 pages (with two columns), 4 figures, 2 tables, our conclusion has changed (we know have perfect agreement with the PRad measurement of the charge radius of the proton, i.e., in the original-minimal soft-wall holographic QCD, we have predicted the charge radius of the proton to be $\bf{r_{p}=0.831\,\pm\,0.008\,\,\text{fm}}$.)

摘要：

我们重新讨论了原始最小软壁全息QCD中质子和中子的电磁形状因子，它只有两个参数，核子质量标度$κ$和核子扭转参数$τ$。首先利用硬散射规则修正$τ=3$，并从全球数据（包括Mainz A1数据）中提取质子的Sachs磁形状因子$G_M^p$的$κ=0.402~\text{GeV}$。然后，我们预测，除其他外，质子的电荷半径为$\bf{r_{p}=0.831\,\pm\,0.008\,\,\text{fm}}$，与最近在杰斐逊实验室的PRad合作测量的质子的电荷半径完全一致，并与μ子氢实验一致。我们对质子弹性形状因子比$μ_pG_E^p/G_M^p$的预测也与最近的高精度Jefferson实验室反冲极化实验E08-007（$Q^2=0.3\,-\,0.6~\text{GeV}^2$）和最近的高精度美因茨A1实验（$Q^2< 0.13~\text{GeV}^2$）非常一致。

英文摘要：

We revisit the electromagnetic form factors of the proton and neutron in the original-minimal soft-wall holographic QCD, which has only two parameters, i.e., the mass scale $κ$ and the twist parameter of the nucleon $τ$. We first fix $τ=3$ by the hard scattering rule, and extract $κ=0.402~\text{GeV}$ from the world data (including the Mainz A1 data) of the Sachs magnetic form factor of the proton $G_M^p$. We then predict among others, the charge radius of the proton to be $\bf{r_{p}=0.831\,\pm\,0.008\,\,\text{fm}}$, in perfect agreement with the recent charge radius of the proton measured by the PRad collaboration at Jefferson Lab, and in agreement with the muonic hydrogen experiments. Our prediction for the proton elastic form factor ratio $μ_pG_E^p/G_M^p$ is also in very good agreement with the recent high precision Jefferson Lab recoil polarization experiment E08-007 for $Q^2=0.3\,-\,0.6~\text{GeV}^2$, and with the recent high precision Mainz A1 experiment for $Q^2< 0.13~\text{GeV}^2$.

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。

摘要：

英文摘要：

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