  The family of "Jack states" related to antisymmetric Jack polynomials are the
exact zero-energy ground states of particular model short-range {\em many-body}
repulsive interactions, defined by a few non-vanishing leading
pseudopotentials. Some Jack states are known or anticipated to accurately
describe many-electron incompressible ground states emergent from the {\em
two-body} Coulomb repulsion in fractional quantum Hall effect. By extensive
numerical diagonalization we demonstrate emergence of Jack states from suitable
pair interactions. We find empirically a simple formula for the optimal
two-body pseudopotentials for the series of most prominent Jack states
generated by {\em contact} many-body repulsion. Furthermore, we seek
realization of arbitrary Jack states in realistic quantum Hall systems with
Coulomb interaction, i.e., in partially filled lowest and excited Landau levels
in quasi-two-dimensional layers of conventional semiconductors like GaAs or in
graphene.

Strongly Correlated Electrons