手征夸克孤子模型中核子的广义部分子分布：非零斜度与动量转移下对所有夸克态的求和
Generalized parton distributions of the nucleon in the chiral quark soliton model: Sum over all quark states at nonzero skewness and momentum transfer
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中文总结 AI 辅助
在手征夸克孤子模型中，通过多极展开对所有夸克态求和，计算了非零斜度和动量转移下核子的非极化广义部分子分布组合，并验证了矩的求和规则与多项式性。
中文摘要 AI 辅助
我们在手征夸克孤子模型中，于非零斜度ξ和非零动量转移t下，计算了核子非极化广义部分子分布（GPDs）的组合E_M=H^{u+d}+E^{u+d}和H_E=H^{u-d}+tE^{u-d}/(4M_N^2)。这些组合包含在1/N_c展开中次领先的GPDs H^{u-d}和E^{u+d}。两个组合都是对夸克态的双重求和。对光锥算子进行多极展开，使得在任意ξ和任意t≤0下求和可计算。狄拉克连续谱的贡献通过对夸克态求和得到，无需插值公式或梯度展开。第一矩满足形状因子求和规则，第二矩满足多项式性。
英文摘要
We compute the combinations $E_M=H^{u+d}+E^{u+d}$ and $H_E=H^{u-d}+tE^{u-d}/(4M_N^2)$ of unpolarized generalized parton distributions (GPDs) of the nucleon in the chiral quark soliton model at nonzero skewness $ξ$ and nonzero momentum transfer $t$. The combinations contain the GPDs $H^{u-d}$ and $E^{u+d}$, which are subleading in the expansion in the inverse number of colors. Both combinations are double sums over the quark states. A multipole expansion of the light-cone operators makes the sums computable at every $ξ$ and every $t\le0$. The contribution of the Dirac continuum is summed over the quark states, without an interpolation formula and without a gradient expansion. The first moments satisfy the form-factor sum rules, and the second moments satisfy polynomiality.
发表机构
- The University of Tokyo（东京大学）
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