BONNEAU, L.; QUENTIN, P.; SIEJA, K.

doi:10.1103/PhysRevC.76.014304

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BONNEAU, L.
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]

QUENTIN, P.
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]

SIEJA, K.
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]

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Physical Review C. 2007, vol. 76, p. 014304

American Physical Society

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We calculate the ground-state properties of well deformed, even-even N = Z nuclei in the region between 56Ni and 100Sn within two different approaches, focusing on the binding energy and deformation and pairing properties. First, we employ the Hartree-Fock-BCS (HFBCS) approximation with the Skyrme effective nucleon-nucleon interaction and discuss how the results depend on the parametrization of the interaction and on the pairing force parameters adjusted in various schemes to reproduce the experimental odd-even mass differences. Then, within the Higher Tamm-Dancoff Approximation (HTDA), which explicitly conserves the particle number, we calculate the same properties starting from the HFBCS solutions. The HTDA treatment of the ground-state correlations is converged within a n-particle-n-hole expansion using up to n = 4 particle-hole excitations of the pair type (in the sense of Cooper pairs). We compare the ground-state properties calculated in these two descriptions of pairing correlations and deduce the importance of the particle-number conservation in weak pairing regimes. Finally, we extend the HTDA calculations so as to include the proton-neutron residual interaction and investigate the role of proton-neutron pairing on the above ground-state properties.< Réduire

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Ground-state properties of even-even N = Z nuclei within the Hartree-Fock-BCS and higher Tamm–Dancoff approaches

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