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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>Σ</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mi>Σ</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>ratio as a candidate for probing the density dependence of the symmetry potential at high nuclear densities

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>Σ</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mi>Σ</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>ratio as a candidate for probing the density dependence of the symmetry potential at high nuclear densities

Based on the UrQMD model, we have investigated the influence of the symmetry potential on the negatively and positively charged $\pi$ and $\Sigma$ hyperon production ratios in heavy ion collisions at the SIS energies. We find that, in addition to $\pi^-/\pi^+$ ratio, the $\Sigma^-/\Sigma^+$ ratio can be taken as a …