  Inspired by Laughlin's theory of the fractional quantum Hall effect, we
propose a wave function for the quark-gluon plasma and the nucleons. In our
model, each quark is transformed into a composite particle via the simultaneous
attachment of a spin monopole and an isospin monopole. This is induced by the
mesons endowed with both spin and isospin degrees of freedom. The interactions
in the strongly-correlated quark-gluon system are governed by the topological
wrapping number of the monopoles, which is an odd integer to ensure that the
overall wave function is antisymmetric. The states of the quark-gluon plasma
and the nucleons are thus uniquely determined by the combination of the
monopole wrapping number m and the total quark number N. The radius squared of
the quark-gluon plasma is expected to be proportional to mN. We anticipate the
observation of such proportionality in the heavy ion collision experiments.
