论文标题
部分可观测时空混沌系统的无模型预测
Toy model to understand oscillatory behavior in timelike nucleon form factors
论文作者
论文摘要
为了理解核子的临时电磁形式中所表现出的振荡行为，我们根据扭曲的波生近似值，提出了一个基于$ n \ bar n $ pair的jost函数到及时的形式的差异的玩具模型。通过构建反映$ n \ bar n $的最终状态相互作用的简单方孔电势，我们自然代表了核子的时间型电磁形式中的阻尼振荡现象。 Especially, our study reveals that the ``period" of the oscillation is approximately determined by the Yukawa interaction range $1/m_π$. Other possible potentials are also discussed. The threshold enhancements of the cross sections for $e^+e^-\to n\bar n$, $Λ\barΛ$, and $Λ_c\barΛ_c$ can also be understand within this scenario.
To understand the oscillatory behavior exhibited in the timelike electromagnetic form factors of nucleons, we propose a toy model based on the Jost function of the $N\bar N$ pair into the timelike form factors with the help of the distorted-wave Born approximation. By constructing a simple square-well potential reflecting the final-state interaction of $N\bar N$, we naturally represent the damped oscillatory phenomenon in the timelike electromagnetic form factors of nucleons. Especially, our study reveals that the ``period" of the oscillation is approximately determined by the Yukawa interaction range $1/m_π$. Other possible potentials are also discussed. The threshold enhancements of the cross sections for $e^+e^-\to n\bar n$, $Λ\barΛ$, and $Λ_c\barΛ_c$ can also be understand within this scenario.
