使用薛定谔方程的飞秒相关分析工具（CATS）
A femtoscopic Correlation Analysis Tool using the Schrödinger equation (CATS)
摘要：
我们提出了一个名为“使用薛定谔方程的相关分析工具”（CATS）的新分析框架，它计算两粒子毫微微显微镜相关函数$C(k)$，其中$k$是粒子对的相对动量。任何局域相互作用势和发射源函数都可以作为输入，并且波函数可以精确地计算。本文研究了$C(k)$对不同粒子对：p-p，p-$\mathrmΛ$，$\mathrm{K^-}$ -p，$\mathrm{K^+}$-p，$\mathrmΞ^-$和$\mathrmΛ$ - $\mathrmΛ$相互作用势的敏感性。对于p-p Argonne $v_{18}$和Reid软核势已被测试。对于其他对系统，我们提出的结果的基础上获得的强有力的潜力，如$χ$ EFT有效拉格朗日p-$\mathrmΛ$，Jülich模型$\mathrm{K(\bar{K})}$ -N和Nijmegen模型$\mathrmΛ$ - $\mathrmΛ$。对于p- $\mathrmΞ^-$对，我们采用HAL QCD合作的最新晶格结果。我们对不同相互作用粒子对作为源大小和不同势函数的详细研究表明，可以利用飞秒测量来约束强子之间的终态相互作用。特别是，小碰撞系统的顺序为1-fm，在大型强子对撞机的pp碰撞中产生的，似乎提供了一个合适的环境，定量研究这种。
英文摘要：
We present a new analysis framework called "Correlation Analysis Tool using the Schrödinger equation" (CATS) which computes the two-particle femtoscopy correlation function $C(k)$, with $k$ being the relative momentum for the particle pair. Any local interaction potential and emission source function can be used as an input and the wave function is evaluated exactly. In this paper we present a study on the sensitivity of $C(k)$ to the interaction potential for different particle pairs: p-p, p-$\mathrmΛ$, $\mathrm{K^-}$-p, $\mathrm{K^+}$-p, p-$\mathrmΞ^-$ and $\mathrmΛ$-$\mathrmΛ$. For the p-p Argonne $v_{18}$ and Reid Soft-Core potentials have been tested. For the other pair systems we present results based on strong potentials obtained from effective Lagrangians such as $χ$EFT for p-$\mathrmΛ$, Jülich models for $\mathrm{K(\bar{K})}$-N and Nijmegen models for $\mathrmΛ$-$\mathrmΛ$. For the p-$\mathrmΞ^-$ pairs we employ the latest lattice results from the HAL QCD collaboration. Our detailed study of different interacting particle pairs as a function of the source size and different potentials shows that femtoscopic measurements can be exploited in order to constrain the final state interactions among hadrons. In particular, small collision systems of the order of 1~fm, as produced in pp collisions at the LHC, seem to provide a suitable environment for quantitative studies of this kind.
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