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The phenomenological adjustment of the nuclear pairing strength is usually performed with respect to the odd-even staggering of the binding energies. We find that the results strongly depend on the way in which the ground states of the odd nuclei are computed. A thorough calculation including all time-even and time-odd polarisation effects induced by the odd nucleon produces about 30% reduced odd-even...
The relation between the single-nucleon spectra of doubly magic nuclei and the excitation energies of the neighboring odd nuclei is investigated within the framework of a relativistic meanfield model. Different levels of approximation (spherical, deformed with time-reversal invariance, without symmetry constraints) are computed and compared. Symmetry breaking, although small, has a substantial effect...
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