Coulomb and hard core skyrmion tails

Quantum Hall skyrmions are quantized solitons of a ferromagnetic O(3) sigma -model. The reference, classical, solutions depend upon the interaction bet ween the electrons and exhibit completely different asymptotic profiles for the physical Coulomb interaction than for the hard core interaction freque ntly used to generate variational wavefunctions. In this note we show, by m eans of numerical calculations on (large) finite size systems at nu = 1, th at this physically important difference, crucial for a sharp definition of their statistics, persists for the quantized skyrmions at nu = 1.