论文标题
手性扰动理论中的前向双称康普顿散射出核子：ii。自旋极化和极化结构功能的力矩
Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: II. Spin polarizabilities and moments of polarized structure functions
论文作者
论文摘要
我们使用手性扰动理论（$χ$ pt）检查了核子上偏光的双重康普顿散射（VVC）。极化VVC包含有关核子自旋结构的大量信息，这与原子光谱和电子散射中的两光子交换效应的计算相关。我们报告了偏振vvcs振幅的完整近临界阶（NLO）计算$ s_1（ν，q^2）$和$ s_2（ν，q^2）$，以及相应的极化自旋结构函数$ g_1（x，q^2）$ g_1（x，q^2）$和$ g_2（x，x，q^2）$。我们对极化结构函数矩的结果（部分与不同的自旋极化能力）的结果与其他理论预测和“数据驱动”评估以及最近的Jefferson Lab Lab测量值进行了比较。通过扩大逆核质量质量的能力的结果，我们重现了已知的“重 - 巴里昂”表达式。这是对我们计算的检查，并证明了明显的Lorentz-Invariant Baryon $χ$ PT（B $χ$ PT）和重型 - 巴里昂（HB $χ$ PT）框架之间的差异。
We examine the polarized doubly-virtual Compton scattering (VVCS) off the nucleon using chiral perturbation theory ($χ$PT). The polarized VVCS contains a wealth of information on the spin structure of the nucleon which is relevant to the calculation of the two-photon-exchange effects in atomic spectroscopy and electron scattering. We report on a complete next-to-leading-order (NLO) calculation of the polarized VVCS amplitudes $S_1(ν, Q^2)$ and $S_2(ν, Q^2)$, and the corresponding polarized spin structure functions $g_1(x, Q^2)$ and $g_2(x,Q^2)$. Our results for the moments of polarized structure functions, partially related to different spin polarizabilities, are compared to other theoretical predictions and "data-driven" evaluations, as well as to the recent Jefferson Lab measurements. By expanding the results in powers of the inverse nucleon mass, we reproduce the known "heavy-baryon" expressions. This serves as a check of our calculation, as well as demonstrates the differences between the manifestly Lorentz-invariant baryon $χ$PT (B$χ$PT) and heavy-baryon (HB$χ$PT) frameworks.
