  Lattice computations with excited SU(3) representations suggest that the
confining gluon-gluon interaction complies with the Casimir scaling. The
constituent gluon models have also been assuming the Casimir scaling. Inspired
in type-II superconductors, we explore a new scenario for the gluon-gluon
interaction where the adjoint string is replaced by a pair of fundamental
strings, resulting in a factor of 2, smaller than 9/4. To test our proposal we
construct a simple constituent gluon model, extrapolated from the funnel
potential for quarkonium, and apply it to compute the wave-function of
glueballs and of hybrid gluelumps. From the decay widths of quarkonium, we also
extrapolate the decay widths of the glueballs and hybrid gluelumps. Our
predictions apply to charmonia, lightonia, glueballs and hybrid gluelumps with
large angular momentum.
