We study conformations assumed by single diblock star copolymers in a poor
solvent by means of the Gaussian variational theory and Monte Carlo simulat
ion in continuous space. Cases of stars with internal and external hydropho
bic blocks are analysed. While in the former case the collapsed state has a
n obvious micellar shape, the latter case exhibits two nontrivial conformat
ional structures. Apart from the equilibrium state of a globular hydrophobi
c core with hydrophilic daisy loops, one also finds here a metastable state
of outstretched hydrophilic blocks with hydrophobic subglobules at their e
nds. Such a state appears to be rather long-lived during the kinetics of co
llapse of a swollen star. The plots of monomer densities and other observab
les computed by means of both techniques are found to be in good agreement
with each other.