  Extending previous works on the spectrum of QCD_2, we now investigate the 2D
analogue of meson-baryon scattering. We use semi-classical methods, perturbing
around classical soliton solutions. We start with the abelian case,
corresponding to one flavor,and find that in this case the effective potential
is reflectionless. We obtain an explicit expression for the forward phase
shift. In the non-abelian case of several flavors, the method yields a
potential which depends on the momentum of the incoming particle. In this case
there is both transmission and reflection. In both cases no resonances appear.
As a byproduct, we derive the general conditions for a 2D quantum field
theoretical action to yield a reflectionless effective potential when one
expands in small fluctuations about the classical solution.

High Energy Physics - Phenomenology;High Energy Physics - Theory