夸克模型重子-重子相互作用在中子-氘散射中的应用AGS方程的Noyes-Kowalski方法
Quark-model Baryon-Baryon Interaction Applied to the Neutron-Deuteron Scattering. I Noyes-Kowalski Approach to the AGS Equations
摘要：
我们采用Faddeev形式，利用夸克模型的NN扇区，求解了重子-重子相互作用fss 2中的中子-氘散射。NN相互作用的能量依赖性，固有的共振群制定的夸克模型重子-重子相互作用，消除了标准的离壳变换利用归一化核的两个集群系统。由此产生的额外非定域性对再现E_n < 65 MeV以下的所有nd散射观测值是非常重要的。提出了一种求解Alt-Glassberger-Sandhas（AGS）方程的Noyes-Kowalski方法。本文详细介绍了基于Bochum-Krakow小组提出的样条函数法的三体格林函数运动奇异性的处理方法。在E_n=35-65 MeV和$θ_{c.m}=130^{\circ}-135^{\circ}$处，计算的弹性微分截面再现了深截面的最小值，这与fss 2在不考虑三体力的情况下计算的几乎正确的triton结合能一致。
英文摘要：
We solve the neutron-deuteron (nd) scattering in the Faddeev formalism, employing the NN sector of the quark-model baryon-baryon interaction fss2. The energy-dependence of the NN interaction, inherent to the resonating-group formulation of the quark-model baryon-baryon interaction, is eliminated by the standard off-shell transformation utilizing the normalization kernel of two-cluster systems. An extra nonlocality originating from this procedure is very important to reproduce all the nd scattering observables below E_n < 65 MeV. A new algorithm to solve the Alt-Glassberger-Sandhas (AGS) equations is presented in the Noyes-Kowalski method. The treatment of the moving singularity from the three-body Green function is shown in detail, which is based on the spline function method originally developed by the Bochum-Krakow group. The predicted elastic differnetial cross sections reproduce the observed deep cross section minima at E_n=35-65 MeV and $θ_{c.m}=130^{\circ}-135^{\circ}$, which is consitent with the nearly correct triton binding energy predicted by fss2 without the three-body force.
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