Abstract

 The exact solvable model of the Rydberg dressed interaction for twoparticles proposed by Kościk et al. is analyzed in the differentdimensions to single out the impact of the dimensionality. First weanalyze the effect on the energy spectrum then spatial correlations arestudied as the radial density distribution versus the position in the threedimensionalities. The results clarify the effect of the centrifugal forcesin the presence of long range interaction.
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