标题： $pΛ$和$ppΛ$相关函数 显示英文标题

标题： The $pΛ$ and $ppΛ$ correlation functions

摘要： 在这项工作中，我们利用阿秒级关联函数研究了$p\Lambda$和$pp\Lambda$散射过程。 这一可观测量最近被用来研究高能碰撞最终态发射的强子间的低能相互作用，提供了关于奇异强子间相互作用前所未有的精确信息。 对于粒子对的理论框架已经确立，并且它将测量到的关联函数与散射波函数和发射源联系起来。 在本研究中，我们分析了自由空间中的$NN\Lambda$散射，并将对应的波函数与由 ALICE 合作组进行的$pp\Lambda$关联测量联系起来。 三体问题通过超球面绝热基底来求解。 针对$p\Lambda$和$pp\Lambda$相互作用，采用不同的模型并研究其对关联函数的影响。 本文考虑的三体力旨在描述超氚的结合能，并对两种四体超核提供良好的描述。 我们的主要研究结果观察到了 $pp\Lambda$ 相关函数中的一个巨大的低能峰，该峰主要由 $J^\pi=1/2^+$ 三体态产生。 从实验和理论两个方面对该峰的研究将为两体相互作用和三体相互作用提供重要的约束。 显示英文摘要

摘要： In this work we present the study of $p\Lambda$ and $pp\Lambda$ scattering processes using femtoscopic correlation functions. This observable has been recently used to access the low-energy interaction of hadrons emitted in the final state of high-energy collisions, delivering unprecedented precision information of the interaction among strange hadrons. The formalism for particle pairs is well established and it relates the measured correlation functions with the scattering wave function and the emission source. In the present work we analyze the $NN\Lambda$ scattering in free space and relate the corresponding wave function to the $pp\Lambda$ correlation measurement performed by the ALICE collaboration. The three-body problem is solved using the hyperspherical adiabatic basis. Regarding the $p\Lambda$ and $pp\Lambda$ interactions, different models are used and their impact on the correlation function is studied. The three body force considered in this work is anchored to describe the binding energy of the hypertriton and to give a good description of the two four-body hypernuclei. As a main result we have observed a huge, low-energy peak in the $pp\Lambda$ correlation function, mainly produced by the $J^\pi=1/2^+$ three-body state. The study of this peak from an experimental as well as a theoretical point of view will provide important constraints to the two- and three-body interactions.