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The main characteristics of the ground and, in particular, the first excitedmonopole state in the $^{4}$He, $^{16}$O and $^{40}$Ca nuclei are studiedwithin the generator coordinate method using Skyrme-type effective forces andthree construction potentials, namely the harmonic-oscillator, the square-welland Woods-Saxon potentials. Calculations of density distributions, radii,nucleon momentum distributions, natural orbitals, occupation numbers anddepletions of the Fermi sea, as well as of pair density and momentumdistributions are carried out. A comparison of these quantities for both groundand first excited monopole states with the available empirical data and withthe results of other theoretical methods are given and discussed in detail.Comment: 15 pages, LaTeX, 6 Postscript figures, submitted to EPJ

international journal of modern physics e

GENERATOR COORDINATE METHOD CALCULATIONS FOR GROUND AND FIRST EXCITED COLLECTIVE STATES IN 4He, 16O AND 40Ca NUCLEI