Generator coordinate method calculations of natural orbitals and single-particle occupation numbers in4He,16O and40Ca

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

“…We show in Sec. 3A that our results for the excitation energies in 16 O and 40 Ca using HO and WS1 construction potentials are close to the values obtained in the constrained GCM calculations 10 using self-consistent relativistic mean-field approach for the generating function (RGCM). The rms radii for the same nuclei are also close to those from Ref.…”

“…We note that the rms radii of the ground state in these nuclei obtained with Woods-Saxon construction potential are very close to the experimental values. We would like to emphasize that the rms radii of the ground state in 16 O and 40 Ca calculated using our four construction potentials are close to the value obtained in the relativistic constrained method (RGCM(NL-SH)), 10 while the values of rms for the first monopole state in 16 O are slightly larger than that in RGCM(NL-SH).…”

“…The natural orbitals obtained in the coordinate space are plotted in Fig. 5 for the 16 One can see from Table 5 and from the shape of the NO's given in Fig. 5 that the rms radii of the natural hole-states increase from the ground state to the first excited state.…”

“…The momentum distributions for the ground and first excited monopole states of 16 O have been calculated in the GCM using Eqs. (9) and (11) and are shown in Fig.…”

“…14,15 In Ref. 16 the occupation numbers, the depletion of the Fermi sea and the natural orbitals (NO) which diagonalize the ground state onebody density matrix (ODM) have been calculated. The NO related to the ground state and the single-particle potentials corresponding to them have been studied in detail in Ref.…”