论文标题
在明显的洛伦兹 - 不变性手性效果理论中,核子核子散射到近代到领先的顺序:外围阶段
Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
论文作者
论文摘要
我们在明显的Lorentz-Invariant手性有效田间理论的框架中使用时间订购的扰动理论研究了核子核子的相互作用,直到近代到领先的顺序。我们在一环水平上介绍了两杆交换的贡献,这与大核子质量极限中相应的非偏见表达式一致。使用以一环顺序截断的诞生系列,我们将部分波的相移和混合角与角动量$ l \ geq 2 $。与非权利主义公式的结果相比,我们发现了一些$ d $ wav(例如$^3d_3 $ one)的相移的改进描述。对于其他部分波,两种方法都显示出全球相似的结果。
We study the nucleon-nucleon interaction up to next-to-next-to-leading order using time-ordered perturbation theory in the framework of manifestly Lorentz-invariant chiral effective field theory. We present the two-pion exchange contribution at one-loop level, which is consistent with the corresponding non-relativistic expressions in the large-nucleon-mass limit. Using the Born series truncated at one-loop order, we calculate the phase shifts and mixing angles of the partial waves with the angular momentum $l\geq 2$. Comparing with the results of non-relativistic formulation, we find an improved description of the phase shifts for some $D$ waves such as the $^3D_3$ one. For the other partial waves, both approaches show the globally similar results.