论文标题
温伯格操作员对夸克模型中核子电偶极矩的贡献
Weinberg operator contribution to the nucleon electric dipole moment in the quark model
论文作者
论文摘要
我们评估了CP违反Gluon Chromo-Electric偶极矩(所谓的Weinberg操作员,称为$ W $)对非层子夸克模型中核子的电偶极矩(EDM)的贡献。 CP-ODD交流电势是由Weinberg Operation产生的带有大量夸克和胶子产生的扰动的单环gluon交换来建模的。通过使用高斯膨胀方法求解三夸克系统的非递归schrödinger方程来获得细胞核EDM。发现所得的核子EDM可以合理地将其视为不可约的贡献,比使用QCD Sum规则计算的CP-ODD质量在$γ_5$上获得的核心EDM小于$γ_5$旋转的核心。我们估计总贡献为$ d_n = w \ times 20 \,e \,{\ rm mev} $和$ d_p = - w \ times 18 \,e \,{\ rm mev} $,有60%的理论不确定性。
We evaluate the contribution of the CP violating gluon chromo-electric dipole moment (the so-called Weinberg operator, denoted as $w$) to the electric dipole moment (EDM) of nucleons in the nonrelativistic quark model. The CP-odd interquark potential is modeled by the perturbative one-loop level gluon exchange generated by the Weinberg operator with massive quarks and gluons. The nucleon EDM is obtained by solving the nonrelativistic Schrödinger equation of the three-quark system using the Gaussian expansion method. It is found that the resulting nucleon EDM, which may reasonably be considered as the irreducible contribution, is smaller than the one obtained after $γ_5$-rotating the anomalous magnetic moment using the CP-odd mass calculated with QCD sum rules. We estimate the total contribution to be $d_n = w \times 20 \, e \, {\rm MeV}$ and $d_p = - w \times 18 \, e \, {\rm MeV}$ with 60% of theoretical uncertainty.