The nearest two years on experiment STAR the upgrade is planned, which will make it possible to identify particles up to momentum $sim$ 3 GeV/c. This will open possibility to carry out new and more detailed researches of properties of a nuclear matter formed in nucleus-nucleus collisions at RHIC. In this work we offer to carry out of the polarization studies, which can give important additional information about the process of forming the new state of nuclear matter, and also about properties of the formed state. A unique probe of information about all stages of formation and evolution of nuclear matter are dileptons, due to their electromagnetic interaction with the nuclear matter. In this work we pay main attention to the examination of polarization characteristics of dileptons.
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