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Based on the UrQMD model, we have investigated the influence of the symmetrypotential on the negatively and positively charged $\pi$ and $\Sigma$ hyperonproduction ratios in heavy ion collisions at the SIS energies. We find that, inaddition to $\pi^-/\pi^+$ ratio, the $\Sigma^-/\Sigma^+$ ratio can be taken asa sensitive probe for investigating the density dependence of the symmetrypotential of nuclear matter at high densities (1-4 times of normal baryondensity). This sensitivity of the symmetry potential to both the $\pi^-/\pi^+$and $\Sigma^-/\Sigma^+$ ratios is found to depend strongly on the incident beamenergy. Furthermore, the $\Sigma^-/\Sigma^+$ ratio is shown to carry theinformation about the isospin-dependent part of the $\Sigma$ hyperonsingle-particle potential.Comment: 19 pages, 8 figures, accepted by Phys. Rev.

physical review. c. nuclear physics/physical review. c, nuclear physics

<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

Σ−/Σ+ratio as a candidate for probing the density dependence of the symmetry potential at high nuclear densities