Abstract

Using FOPI data on elliptic flow in Au + Au collisions between 0.4 and 1.5A GeV we extract constraints for the equation of state (EOS) of compressed symmetric nuclear matter using the transport code IQMD by introducing an observable describing the evolution of the size of the elliptic flow as a function of rapidity. This observable is sensitive to the nuclear EOS and a robust tool to constrain the compressibility of nuclear matter up to 3ρ0.

Highlights

  • Understanding the equation of state (EOS) of nuclear matter is of fundamental importance in many areas of nuclear physics and astrophysics

  • Several observables have been studied which are predicted to be sensitive to the nuclear EOS with the help of theoretical models: Kaon production in heavy ion reactions below threshold in NN collisions as measured by the KaoS collaboration [1] is sensitive to the density reached in the course of the reactions, which is depending on the stiffness of the equation of state

  • The IQMD model describes the elliptic flow data measured for Au+Au collisions in the energy regime between 0.4 and 1.5A GeV and the Kaon data measured by the KaoS collaboration coming to the same conclusion with respect to the nuclear matter EOS

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Summary

Introduction

Understanding the equation of state (EOS) of nuclear matter is of fundamental importance in many areas of nuclear physics and astrophysics. Several observables have been studied which are predicted to be sensitive to the nuclear EOS with the help of theoretical models: Kaon production in heavy ion reactions below threshold in NN collisions as measured by the KaoS collaboration [1] is sensitive to the density reached in the course of the reactions, which is depending on the stiffness of the equation of state. The authors claimed that only a soft EOS is consistent with the data, i.e. with a compression modulus at saturation density κ ≈ 200 MeV This finding was confirmed by a second theoretical group and it was shown to be robust with respect to the input parameters to the models [2].

Experimental data
Model calculations
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