Nonsinglet structure function of the He-3-H-3 system and divergence of theGottfried integral - art. no. 054503

We study shadowing and antishadowing corrections to the flavor nonsinglet s tructure function F-2(3He)-F-2(3H) and,how that the difference between the one-particle density distributions of He-3 and H-3 plays an important role at very small x. We find that the flavor nonsinglet structure function in t hese mirror nuclei is enhanced at small x by nuclear shadowing, which incre ases the nuclear Gottfried integral, integrated from 10(-4) to 3, by 15-41 %. When integrated from zero, the Gottfried integral is divergent for these mirror nuclei. It seems likely that, as a consequence of charge symmetry b reaking, this may also apply to the proton-neutron system.