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Lessons from Fitting the Lowest Order Energy Independent Chiral Based $$\bar{K}N$$ Potential to Experimental Data
Few-Body Systems ( IF 1.7 ) Pub Date : 2020-09-11 , DOI: 10.1007/s00601-020-01565-1
J. Révai

It is shown, that fitting parameters of a $\bar{K}N$ interaction model to different sets of experimental data can lead to physical conclusions which might provide a deeper insight into the physics of this multichannel system. The available experimental data are divided into three parts: the "classical" set consisting of the low-energy $K^-p$ cross sections and the threshold branching ratios, the SIDDHARTA $1s$ level shift in kaonic hydrogen and the CLAS photoproduction data. We have fitted the parameters of the potential to different combinations of these data. We found, that the two poles corresponding to the $I=0$ nuclear quasi-bound state ($\Lam$) and to the $K^-p$ $1s$ atomic level seem to resist to their simultaneous reproduction at the right place, though a more or less satisfactory compromise can be achieved. Potentials with the $\Lam$ pole pinned down close to the PDG value fail to reproduce the classical two-body data with an acceptable accuracy. We also added comments on two papers criticizing the potential used in the fits.

中文翻译:

拟合基于最低阶能量独立手性的经验教训 $$\bar{K}N$$ 对实验数据的潜力

结果表明,将 $\bar{K}N$ 交互模型的参数拟合到不同的实验数据集可以得出物理结论,这可能会提供对这个多通道系统物理的更深入的了解。可用的实验数据分为三个部分:由低能量 $K^-p$ 横截面和阈值分支比组成的“经典”集、卡奥尼克氢中的 SIDDHARTA $1s$ 能级偏移和 CLAS 光生产数据. 我们已经将潜力参数拟合到这些数据的不同组合中。我们发现,对应于 $I=0$ 核准束缚态 ($\Lam$) 和​​ $K^-p$ $1s$ 原子能级的两个极点似乎抵抗它们在右侧的同时复制尽管可以实现或多或少令人满意的妥协。将 $\Lam$ 极点固定在 PDG 值附近的电位无法以可接受的精度重现经典的双体数据。我们还对两篇批评比赛中使用的潜力的论文发表了评论。
更新日期:2020-09-11
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