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Understanding the properties of drip line nuclei requires to take intoaccount the correlations with the continuum spectrum of energy of the system.This paper has the purpose to show that the continuum single particle leveldensity is a convenient way to consider the pairing correlation in thecontinuum. Isospin mean-field and isospin pairing strength are used to find theBardeen-Cooper-Schrieffer (BCS) and Lipkin-Nogami (LN) approximate solutions ofthe pairing Hamiltonian. Several physical properties of the whole chain of theTin isotope, as gap parameter, Fermi level, binding energy, and one- andtwo-neutron separation energies, were calculated and compared with othermethods and with experimental data when they exist. It is shown that the use ofthe continuum single particle level density is an economical way to includeexplicitly the correlations with the continuum spectrum of energy in largescale mass calculation. It is also shown that the computed properties are ingood agreement with experimental data and with more sophisticated treatment ofthe pairing interaction.

Pairing in the BCS and LN approximations using continuum single particle level density