  In this paper the kink scattering in a two-component scalar field theory
model in (1+1)-Minkowskian space-time is addressed. The potential term
$U(\phi_1,\phi_2)$ is given by a polynomial of fourth degree in the first field
component and of sixth degree in the second one. The novel characteristic of
this model is that the kink variety describes two different types of extended
particles. These particles are characterized by its topological charge but also
by a new feature determined by a discrete charge $\Lambda=0,\pm 1$. For this
reason, the kink scattering involves a very rich variety of processes, which
comprises kink annihilation, reflection, charge exchange, transmutation, etc.
It has been found that not only the final velocity of the scattered kinks, but
also the final nature of the emerging lumps after the collision are very
sensitive on the initial velocities. Asymmetric scattering processes arise when
Type I and Type II particles are obliged to collide. In this case, ten
different final scenarios are possible. Symmetric scattering events are also
discussed.
