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In the present work we investigate the existence and stability properties ofq-balls which consist of a couple of scalar fields, forming an SU(2) doublet ina Lagrangian with a global SU(2) symmetry. We find that these spinors can forma localized and stable field configuration, if they rotate in their internalSU(2) space. We find the energy and charge of the soliton in both thin andthick-wall approximation and we prove its stability against decaying to freeparticles. We also find the asymptotic forms of the scalar and gauge field andthe energy and charge of the configuration when the SU(2) symmetry is local.The only assumption is the smallness of the coupling constant $g$. Usingnumerical methods we prove the stability of the q-ball in the local case.Comment: 18 pages, to appear in Int. J. Mod. Phys.

Q-BALLS CONSTRUCTED OF SPINORS IN LAGRANGIANS WITH SU(2) SYMMETRY