We have extended the Dirac-Hartree-Bogoliubov (DHB) approximation developed in a previous work [1] with the inclusion of blocking terms in order to study the pairing properties of both even and odd nuclei. We have concentrated our attention in the isotope chains of 12-26O, 34-56Ca, 48-78Ni and 100-132Sn as well as on the alpha-decay of the new superheavy element (277)112.

Using a relativistic nuclear optical potential consisting of a Lorentz scalar, Vs, and the time-like component of a four-vector potential, V0, with a Gaussian form factor, we have calculated elastic scattering differential sections and polarizations for p+ 6,8He at intermediate energies. We compare our results with those of the Relativisitic Impulse Approximation (RIA) and with the available experimental data in the range of 0 < t < 0.22 (GeV/c)².

An algebraic model is developed to calculate the T = 0 and T = 1 ground-state binding energies of N = Z nuclei in the 28-50 shell which is currently the object of many experimental studies.