Bounds on particle masses in the plannab approximation of two-dimensional chromodynamics

Some properties of the particle mass spectrum are investigated in the framework of two-dimensional quantum chromodynamics. For the case of a bound state of two scalar quarks (a meson) with $SU(n_c)$ coIor group in the $1/n_c$ approximation it is shown that the spectrum is discrete; lower bounds are obtained for its eigenvalues, and also upper bounds for some of the first eigenvalues. For a bound state of $N$ spinor quarks, bounds are obtained on the ground level in the planar approximation.