Off - forward quark distributions of the nucleon in the large N(c) limit
Off - forward quark distributions of the nucleon in the large N(c) limit
复制标题
大 N(c) 极限中核子的偏前夸克分布
DOI：
10.1103/physrevd.57.4325
复制
发表时间：
1997
影响因子：
5
通讯作者：
C. Weiss
中科院分区：
文献类型：
--
作者：
V. Petrov;P. Pobylitsa;Maxim V. Polyakov;I. Boernig;K. Goeke;C. Weiss
我们研究核子手性夸克孤子模型中的偏向夸克分布（OFQD）。该模型基于核子的大${N}_{c}$图像作为有效手性拉格朗日孤子，并允许计算低归一化点的前导扭曲夸克和反夸克分布。我们通过检查 OFQD 的各种求和规则来证明该方法的一致性。我们提出等单峰分布的数值估计$H(x,\ensuremath{\xi},{\ensuremath{\Delta}}^{2})$。与其他方法相比，我们发现对纵向动量传递 $\ensuremath{\xi}$ 有很强的定性依赖性。特别是，$H(x,\ensuremath{\xi},{\ensuremath{\Delta}}^{2})$ 作为 $x$ 的函数，在 $|x|=\ensuremath{\xi}/2$ 处表现出快速交叉。这种行为可能会导致深度虚拟康普顿散射截面的显着增强。
We study the off-forward quark distributions (OFQD's) in the chiral quark-soliton model of the nucleon. This model is based on the large-${N}_{c}$ picture of the nucleon as a soliton of the effective chiral Lagrangian and allows one to calculate the leading twist quark and antiquark distributions at a low normalization point. We demonstrate the consistency of the approach by checking various sum rules for the OFQD's. We present numerical estimates of the isosinglet distribution $H(x,\ensuremath{\xi},{\ensuremath{\Delta}}^{2})$. In contrast with other approaches we find a strong qualitative dependence on the longitudinal momentum transfer, $\ensuremath{\xi}$. In particular, $H(x,\ensuremath{\xi},{\ensuremath{\Delta}}^{2})$ as a function of $x$ exhibits fast crossovers at $|x|=\ensuremath{\xi}/2$. Such behavior could lead to a considerable enhancement of the deeply virtual Compton scattering cross section.