$\bar N+N\to π+ e^++e^-$反应中偏振观测量的一般分析和数值估计
General analysis and numerical estimations of polarization observables in $\bar N+N\to π+ e^++e^-$ reaction in an exclusive experimental setup
摘要:
利用强子电磁流守恒和强子电磁相互作用的$P-$不变性,导出了$\bar N+N\to π+e^++e^-$反应微分截面和极化观测量与质子靶和反质子束(产生的电子可以是非极化的或纵向极化的)极化的关系的一般形式.分析的情况下,一个独家的实验装置,其中所产生的电子和π介子被检测到的重合。所有的偏振观测值的明确依赖于两个,从五个,运动学变量(方位角$φ$和虚拟光子参数$ε$),已获得假设单光子交换。在玻恩近似中考虑了包含非物理区域中的类时质子形状因子信息的机制对特定情况的应用。
英文摘要:
The dependence of the differential cross section and polarization observables in the $\bar N+N\to π+e^++e^-$ reaction on the polarizations of the proton target and antiproton beam (the produced electron may be unpolarized or longitudinally polarized) have been derived in a general form using hadron electromagnetic current conservation and $P-$ invariance of the hadron electromagnetic interaction. The analysis was done for the case of an exclusive experimental setup where the produced electron and pion are detected in coincidence. The explicit dependence of all polarization observables on two, from five, kinematic variables (the azimuthal angle $φ$ and the virtual-photon parameter $ε$), have been obtained assuming one-photon-exchange. The application to the particular case of a mechanism which contains information on time-like proton form factors in the unphysical region is considered in the Born approximation.
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