  Adding matter of mass m, in the fundamental representation of SU(N), to N=4
supersymmetric Yang-Mills theory, we study ``generalized quarkonium''
containing a (s)quark, an anti(s)quark, and J massless (or very light) adjoint
particles. At large 't Hooft coupling $\lambda$ >> 1, the states of spin <= 1
are surprisingly light (Kruczenski et al., hep-th/0304032) and small
(hep-th/0312071) with a J-independent size of order $\sqrt{\lambda}/m$. This
``trapping'' of adjoint matter in a region small compared with its Compton
wavelength and compared to any confinement scale in the theory is an unfamiliar
phenomenon, as it does not occur at small $\lambda$. We explore adjoint
trapping further by considering the limit of large J. In particular, for J >>
$\sqrt{\lambda}$ >> 1, we expect the trapping phenomenon to become unstable.
Using Wilson loop methods, we show that a sharp transition, in which the
generalized quarkonium states become unbound (for massless adjoints) occurs at
$J \simeq 0.22 \sqrt{\lambda}$. If the adjoint scalars of N=4 are massive and
the theory is confining (as, for instance, in N=1* theories) then the
transition becomes a cross-over, across which the size of the states changes
rapidly from ~$\sqrt{\lambda}/m$ to something of order the confinement scale ~
$\Lambda^{-1}$.
