Speaker
Description
Recently, femtoscopy has gathered attention as a new approach to
access hadron--hadron interactions through momentum correlation functions. In particular, the $s$-wave interaction has been extensively discussed in the field. In this talk, we discuss the effect of interactions in higher partial waves on the femtoscopic correlation function. We first attempt to extend existing $s$-wave formulae of the two-particle correlation function to the general case with higher partial waves. To avoid an unphysical behavior caused by a naive assumption of the traditional Lednicky-Lyuboshitz formula, we introduce regularized Lednicky-Lyuboshitz formulae and validate their performances. Based on the obtained formula, we demonstrate the nature of the higher-partial-wave contributions to the correlation function in the $(q', a'_l)$ plane, with $q'$ and $a'_l$ being the relative momentum and scattering length, respectively, in units of the source size $R$. We also discuss future extension with the non-spherical source.