论文标题
NJL模型中斜杆的双parton分布
Double parton distributions of the pion in the NJL model
论文作者
论文摘要
我们评估了NAMBU-JONA-LASINIO模型中茶的价双parton分布（DPDF）。 At the low-energy quark-model scale and in the chiral limit a particularly simple factorized form $D(x_1,x_2, \vec{q}) = δ(1-x_1-x_2) F(\vec{q})$ follows, where $x_{1,2}$ denote the longitudinal momentum fractions of the valence quark and antiquark, and $ \ vec {q} $是他们的相对横向动量。对于$ \ vec {q} = \ vec {0} $，我们的结果符合gaunt-sterling和规则。我们通过Mellin Momments进行必要的DDGLAP演变至较高的量表，并探索其对定义为DPDF与单个Parton分布产物比率的影响，$ d（x_1，x_2，x_2，\ vec {q} = \ vec {0} {0}）/d（x_1）/d（x_1）/d（x_1）d（x_2）$。由于Valence Mellin矩的比率$ \ langle x_1^n x_2^m \ rangle / \ langle x_1^n \ rangle \ langle x_2^m \ rangle $是ddglap进化的不变性，因此它们可以作为这些相关性的强大度量。提供了可以在即将进行的晶格模拟中测试的模型预测。我们还讨论了与TIP的DPDF相关的横向外形。
We evaluate the valence double parton distribution (dPDF) of the pion in the Nambu--Jona-Lasinio model. At the low-energy quark-model scale and in the chiral limit a particularly simple factorized form $D(x_1,x_2, \vec{q}) = δ(1-x_1-x_2) F(\vec{q})$ follows, where $x_{1,2}$ denote the longitudinal momentum fractions of the valence quark and antiquark, and $\vec{q}$ is their relative transverse momentum. For $\vec{q}=\vec{0}$ our result complies to the Gaunt-Sterling sum rules. We carry out the necessary dDGLAP evolution to higher scales via the Mellin moments and explore its impact on the correlation defined as the ratio of dPDF to the product of single parton distributions, $D(x_1,x_2, \vec{q}=\vec{0})/D(x_1)D(x_2)$. Since the ratios of the valence Mellin moments $\langle x_1^n x_2^m \rangle / \langle x_1^n \rangle \langle x_2^m \rangle $ are invariants of the dDGLAP evolution, they may serve as robust measures of these correlations. Model predictions, which can be tested in the upcoming lattice simulations, are provided. We also discuss the transverse form factor related to the dPDF of the pion.
