The new recurrence relation for magic numbers and some of its possible implications

We discuss the possible implications of the peculiar recurrence relation wh ich we demonstrate to hold for the series of empirical magic numbers. These include thc space-wise shell structure of the nucleus in both the proton a nd neutron distributions which in beta-stable nuclei overlap completely, pr edictions of nuclear halos and skins, the new equation of the line of beta- stability. predictions for the beta-stable superheavy nuclei, the effects o n the concept of nuclear matter, and a variation of the liquid drop model w hich partly conforms to such a view of the nucleus.