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# Odd-even staggering of binding energies as a consequence of

pairing and mean-field effects

**J. Dobaczewski,**^{1}P. Magierski,^{2}W. Nazarewicz,^{1,3,4}W. Satua,^{1}and Z. Szymanski

^{1}Institute of Theoretical Physics, University of Warsaw,

ul. Hoza 69, PL-00-681 Warsaw, Poland

^{2}Institute of Physics, Warsaw University of Technology,

ul. Koszykowa 75, PL-00-662 Warsaw, Poland

^{3}Department of Physics, University of Tennessee, Knoxville,

Tennessee 37996

^{4}Physics Division, Oak Ridge National Laboratory,

Oak Ridge, Tennessee 37831

**March 9, 2000**

### Abstract:

Odd-even staggering of binding energies is studied in finite fermion
systems with pairing correlations. We discuss contributions of the
pairing and mean-field to the staggering, and we construct
the binding-energy filters which measure the magnitude of pairing
correlations and the effective single-particle spacings in a given
system The analysis is based on studying several exactly-solvable
many-body Hamiltonians as well as on the analytical formulas
that can be applied in the
weak and strong pairing limits.

*Jacek Dobaczewski*

*2000-03-09*