论文标题
手性有效野外理论中核子核子散射与耦合的核子 - 戴尔塔通道
Nucleon-Nucleon Scattering with Coupled Nucleon-Delta Channels in Chiral Effective Field Theory
论文作者
论文摘要
在这项工作中，考虑到耦合的n $δ$ - ，$δ$ n-和$δΔ$ - 通道，在手性有效场理论中计算两个核子的弹性散射。为了求解耦合的通道散射方程，需要将这些初始和最终状态的所有组合的电势输入。最新到领先的订单这些（过渡）电势是由一杆交换，两杆式交换和接触交互产生的。对于两杆交换，我们给出了从所有贡献一环图中得出的光谱函数的分析表达式。确定领先和临近领先顺序的接触电势的形式。我们执行属于$ nn \ rightArrow nn $联系潜力的低能常数，并贡献到$ s $ - $ s $ - 和$ p $ - waves nn散射。详细研究了通过耦合通道进入的$δ$ -isobar动力学的影响。
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 N$Δ$-, $Δ$N- 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 $NN \rightarrow NN$ 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.
