Coulomb Corrections for Bose-Einstein Correlations from One- And Three-Dimensional L\'evy-Type Source Functions

Abstract

In the study of femtoscopic correlations in high-energy physics, besides Bose--Einstein correlations, one has to take final-state interactions into account. Amongst them, Coulomb interactions play a prominent role in the case of charged particles. Recent measurements have shown that in heavy-ion collisions, Bose--Einstein correlations can be best described by L\'evy-type sources instead of the more common Gaussian assumption. Furthermore, three-dimensional measurements have indicated that, depending on the choice of frame, a deviation from spherical symmetry observed under the assumption of Gaussian source functions persists in the case of L\'evy-type sources. To clarify such three-dimensional L\'evy-type correlation measurements, it is thus important to study the effect of Coulomb interactions in the case of non-spherical L\'evy sources. We calculated the Coulomb correction factor numerically in the case of such a source function for assorted kinematic domains and parameter values using the Metropolis--Hastings algorithm and compared our results with previous methods to treat Coulomb interactions in the presence of L\'evy sources.