Hadron-Hadron Correlation and Interaction from Heavy-Ion Collisions

We investigate the $ΛΛ$ and $K^-p$ intensity correlations in high-energy heavy-ion collisions. First, we examine the dependence of the $ΛΛ$ correlation on the $ΛΛ$ interaction and the $ΛΛ$ pair purity probability $λ$. For small $λ$, the correlation function needs to be suppressed by the $ΛΛ$ interaction in order to explain the recently measured $ΛΛ$ correlation data. By comparison, when we adopt the $λ$ value evaluated from the experimentally measured $Σ^0/Λ$ ratio, the correlation function needs to be enhanced by the interaction. We demonstrate that these two cases correspond to the two analyses which gave opposite signs of the $ΛΛ$ scattering length. Next, we discuss the $K^-p$ correlation function. By using the local $\bar{K}N$ potential which reproduces the kaonic hydrogen data by SIDDHARTA, we obtain the $K^-p$ correlation function. We find that the $K^-p$ correlation can provide a complementary information with the $K^{-}p$ elastic scattering amplitude.

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