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The eastern region of the calcium isotope chain of the nuclei chart is,nowadays, of great activity. The experimental assessment of the limit ofstability is of interest to confirm or improve microscopic theoretical models.The goal of this work is to provide the drip line of the calcium isotopes fromthe exact solution of the pairing Hamiltonian which incorporates explicitly thecorrelations with the continuum spectrum of energy. The modified Richardsonequations, which include correlations with the continuum spectrum of energymodeled by the continuum single particle level density, is used to solve themany-body system. Three models are used, two isospin independent models withcore 40Ca and 48Ca, and one isospin dependent model. One and two-neutronseparation energies and occupation probabilities for bound and continuum statesare calculated from the solution of the Richardson equations. The one particledrip line is found at the nucleus 57Ca, while the two neutron drip line isfound at the nucleus 60Ca from the isospin independent model and at 66Ca fromthe isospin dependent one.

Estimate of the location of the neutron drip line for calcium isotopes from an exact Hamiltonian with continuum pair correlations