Abstract

In the collisions of heavy ions the nuclear matter can undergo a phase transition from hadrons to a state of deconfined quarks and gluons called the Quak-Gluon Plasma. Femtoscopic measurements of two-particle correlations at small relative momenta reveal information about the space-time characteristics of the system at the moment of particle emission. The correlations result from quantum statistics, final-state Coulomb interactions, and the strong final-state interactions between the emitted particles.It has been predicted that correlations due to the strong final-state interactions in a system where a narrow resonance is present will be sensitive, in the region of the resonance, to the source size and momentum-space correlations. Such a measurement can provide complementary information to the measurements at very low relative momenta. This paper presents the preliminary results of a STAR analysis of unlike-sign kaon femtoscopic correlations in Au+Au collisions at √ s NN = 200 GeV, including the region of ϕ (1020) resonance. The experimental results are compared to a theoretical prediction that includes the treatment of resonance formation due to the final-state interactions.

Highlights

  • In 1960 Goldhaber and collaborators observed in proton-antiproton annihilations an excess of pairs of identical pions produced at small relative momenta [1]

  • Since the femtoscopic measurements of two-particle correlations at low relative momenta became a standard tool for extracting the space-time extents of particle emitting sources

  • It is predicted that the correlation function will be more sensitive in the region of the resonance, where the strength of the correlation should change with the source size, ae-mail: jlidrych@gmail.com r as ∼ r−3 in comparison with measurements at the very low relative momenta, where the correlation function depends on r−2 or r−1

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Summary

Introduction

In 1960 Goldhaber and collaborators observed in proton-antiproton annihilations an excess of pairs of identical pions produced at small relative momenta [1]. These observed correlations, as experimenters correctly asserted, came as a result of quantum statistics. Since the femtoscopic measurements of two-particle correlations at low relative momenta became a standard tool for extracting the space-time extents of particle emitting sources. R as ∼ r−3 in comparison with measurements at the very low relative momenta, where the correlation function depends on r−2 or r−1. Pairs of unlike-sign kaons are ideally suited for such femtoscopic analysis as they contain the narrow φ(1020) resonance. From previous STAR source imaging analysis [4], the kaon source function is known to be well-described by a Gaussian form

Data analysis
Construction of correlation function
Unlike-sign 1D correlation functions
Like-sign 1D correlation functions and fitting
Comparison of unlike-sign 1D correlation function to Lednicky model
Summary
Full Text
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