Abstract
We investigate Λ − Λ correlation function in relativistic heavy ion collisions to extract their interaction. Using an expanding source model for heavy ion collisions, we disentangle effects of collective expansion and those of the interaction at low relative momenta. Then, we discuss the influence of the feed-down correction for Σ 0 decay and indicate the possible existence of a residual correlation at high relative momenta. Consequently, the present STAR data suggest a weakly attractive interaction for the ΛΛ pairs which is represented by the scattering length, 1/ a 0 −1 .
Highlights
The Λ − Λ interaction plays an important role in various aspects of modern nuclear physics
It is expected that hyperons can emerge at already at moderate baryon densities within neutron star cores [1]
An alternative possibility has been explored in relativistic heavy ion collisions at Relativistic Heavy Ion Collider (RH√IC). at sNN
Summary
The Λ − Λ interaction plays an important role in various aspects of modern nuclear physics. One needs more information on the interaction among hyperons to understand whether this picture is consistent with recently observed massive neutron stars [2] or not. Ruled out the possibility of the deeply bound state, the bond energy of ΛΛ, BΛΛ, extracted from the Λ6ΛHe indicates a weakly attractive ΛΛ interaction, characterized by the scattering length and the effective range in the 1S 0 channel as (a0, reff) = (−0.77fm, 6.59fm) [5] or (a0, reff) = (−0.575fm, 6.45fm) [6] as extracted from structure calculations. The goal of this work is to determine ΛΛ interaction from the measured data at RHIC For this purpose, we need to understand several effects on the ΛΛ correlation function other than interaction. We need to understand several effects on the ΛΛ correlation function other than interaction In this proceeding, we highlight results from our recent work [12]
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