核子康普顿散射的显协变手征PT计算
Manifestly-covariant chiral PT calculation of nucleon Compton scattering
摘要：
在显协变重子手征微扰理论（B $χ$ PT）框架下，计算了核子的康普顿散射。观测量的结果与重子手征微扰理论（HB $χ$ PT）中相应的计算有很大的不同，最明显的是在正向运动学上。我们验证了协变的$p^3$结果满足前向康普顿散射求和规则。我们还探讨了$Δ$（1232）共振在$p^4/\varDelta$级的效应，共振激发能为$\varDelta\approx 300$ MeV.我们发现，$Δ$激发对核子极化率的实质性影响可以自然地包含在显协变计算中。
英文摘要：
We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (B$χ$PT). The results for observables differ substantially from the corresponding calculations in heavy-baryon chiral perturbation theory (HB$χ$PT), most appreciably in the forward kinematics. We verify that the covariant $p^3$ result fulfills the forward-Compton-scattering sum rules. We also explore the effect of the $Δ$(1232) resonance at order $p^4/\varDelta$, with $\varDelta\approx 300$ MeV, the resonance excitation energy. We find that the substantial effect of the $Δ$-excitation on the nucleon polarizabilities can naturally be accommodated in the manifestly covariant calculation.
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