  In this paper a relaxation theory, proposed several years ago for plasmas
where a single dominant mode is present, is revisited. The solutions of the
related eigenvalue problem are numerically calculated and discussed. Although
these solutions are very rich and can reproduce well the magnetic fields
measured in experiments, there is no manner within the theory to determine the
dominant helicity, which is a free parameter in the model. To find the
preferred helicity in the system, we propose to minimize the distance of the
relaxed state from another state which is constructed as a two region
generalization of the Taylor relaxation model allowing current jumps. It is
found that this comparison is able to predict the observed scaling with the
aspect ratio and reversal parameter for the dominant mode in the Single Helical
states.
