Adative blending

How do I make my particle system have adative blending? As in, to particles(or sprites) overlaying each other will be brighter than one alone.

This is simple additive blending :

glEnable(GL_BLEND);
glBlendFunc(GL_ONE, GL_ONE);

Ok, and if using a alpha mapped texture then glBlendFunc( GL_SRC_ALPHA, GL_ONE ); ?