  Coulomb interactions of few ($ N $) electrons confined in a disk shaped
quantum dot, with a large magnetic field $B=B^*$ applied in the z-direction
(orthogonal to the dot), produce a fully spin polarized ground state. We
numerically study the splitting of the levels corresponding to the multiplet of
total spin $S=N/2$ (each labeled by a different total angular momentum $ J_z $)
in presence of an electric field parallel to $ B $, coupled to $ S $ by a
Rashba term. We find that the first excited state is a spin exciton with a
reversed spin at the origin. This is reminiscent of the Quantum Hall
Ferromagnet at filling one which has the skyrmion-like state as its first
excited state. The spin exciton level can be tuned with the electric field and
infrared radiation can provide energy and angular momentum to excite it.
