$π^0π^0$和$pΣ^0$体系衰变产物间的剩余关联
Residual correlations between decay products of $π^0π^0$ and $pΣ^0$ systems
摘要：
衰变产物之间的残余相关性，由于在小的相对速度和小的衰变动量的父母之间的相关性的组合进行了讨论。π介子衰变光子之间的剩余关联被认为是直接光子分数的一个新的可能的信息来源。基于Fujiwara等人的自旋味SU $_6$模型推导出的$pΣ^0$低能散射参数，包括有效介子交换势和显式味对称破缺，预测了$pγ$和$pΛ$系统中由于终态$pΣ^0$相互作用引起的剩余关联，并利用低能超子-核子截面数据再现了双核子系统的性质.的$pγ_{Σ^0}$剩余相关集中在$k^* \approx 70$兆电子伏/ $c$和它的形状和强度似乎是敏感的散射参数和源的时空尺寸。$pΛ_{Σ^0}$残差相关恢复了$k^* > 70$ Mev/ $c$的负母体$pΣ^0$相关。忽略这种负的剩余相关将导致低估父$pΛ$相关效应和高估源大小。
英文摘要：
Residual correlations between decay products due to a combination of both correlations between parents at small relative velocities and small decay momenta are discussed. Residual correlations between photons from pion decays are considered as a new possible source of information on direct photon fraction. Residual correlations in $pγ$ and $pΛ$ systems due to $pΣ^0$ interaction in final state are predicted based on the $pΣ^0$ low energy scattering parameters deduced from the spin-flavour SU$_6$ model by Fujiwara et al. including effective meson exchange potentials and explicit flavour symmetry breaking to reproduce the properties of the two-nucleon system and the low-energy hyperon-nucleon cross section data. The $pγ_{Σ^0}$ residual correlation is concentrated at $k^* \approx 70$ Mev/$c$ and its shape and intensity appears to be sensitive to the scattering parameters and space-time dimensions of the source. The $pΛ_{Σ^0}$ residual correlation recovers the negative parent $pΣ^0$ correlation for $k^* > 70$ Mev/$c$. The neglect of this negative residual correlation would lead to the underestimation of the parent $pΛ$ correlation effect and to an overestimation of the source size.
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