We consider (1 + 1)-dimensional QCD coupled to Majorana fermions in th
e adjoint representation of the gauge group SU(N). Pair creation of pa
rtons (fermion quanta) is not suppressed in the large-N limit, where t
he glueball-like bound states become free. In this limit the spectrum
is given by a linear light-cone Schrodinger equation, which we study n
umerically using the discretized light-cone quantization. We find a di
screte spectrum of bound states, with the logarithm of the level densi
ty growing approximately linearly with the mass. The wave function of
a typical excited state is a complicated mixture of components with di
fferent parton numbers. A few low-lying states, however, are surprisin
gly close to being eigenstates of the parton number, and their masses
can be accurately calculated by truncated diagonalizations.