In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled NΔ-, ΔN- and ΔΔ-channels. To solve the coupled channel scattering equation one needs as input the potentials for all combinations of these initial and final states. Up to next-to leading order these (transition) potentials arise from one-pion exchange, two-pion exchange and contact interactions. For the two-pion exchange we give analytic expressions for the spectral functions derived from all contributing one-loop diagrams. The forms of the contact potentials at leading and next-to-leading order are determined. We perform a fit of the low energy constants, that belong to the $NN\to NN$ contact potential and contribute up to next-to-leading order to S- and P-waves of NN scattering only. The influence of the Δ-isobar dynamics entering through the coupled channels is studied in detail.

在这项工作中，在手性有效场理论中，考虑耦合的NΔ-，ΔN-和ΔΔ通道，以次要的领先顺序计算了两个核子的弹性散射。为了求解耦合的信道散射方程，需要将这些初始状态和最终状态的所有组合的电势作为输入。直到次要的领导顺序，这些（过渡）电势是由一键交换，两键交换和接触相互作用产生的。对于两点交换，我们给出了从所有有贡献的单环图得出的谱函数的解析表达式。确定处于领先和接近领先顺序的接触电势形式。我们执行属于以下项的低能量常数的拟合$ññ\to ññ$接触电势并且仅对NN散射的S和P波贡献至次要的阶数。详细研究了通过耦合通道进入的Δ-等压线动力学的影响。