The effective root-mean-square (rms) matter radii of Na-A (A = 20-23,2
5-32) and Mg-A (A = 20,22,23,27,29-32) have been deduced from the meas
ured interaction cross sections using a Glauber-type calculation. It w
as found that the increase of rms matter radii in Na isotopes is prima
rily a consequence of the increase of rms neutron radii. A correlation
between the radii, corrected for quadrupole deformation, and the Ferm
i-energy difference was observed for both Na and Mg isotopes. This cor
relation can be explained by a model that assumes the valence nucleons
are responsible for the changes in nuclear radii. The presence of a n
eutron skin is suggested for neutron-rich Na and Mg isotopes. An appli
cation to the nuclear equation of state (EOS) is discussed. (C) 1998 P
ublished by Elsevier Science B.V.