Skip to Main content Skip to Navigation
Journal articles

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

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

http://hal.in2p3.fr/in2p3-00292985
Contributor : Pascale Chambon <>
Submitted on : Thursday, July 3, 2008 - 12:19:34 PM
Last modification on : Friday, November 6, 2020 - 7:06:03 PM

Links full text

Identifiers

Collections

Citation

L. Bonneau, P. Quentin, K. Sieja. Ground-state properties of even-even N = Z nuclei within the Hartree-Fock-BCS and higher Tamm–Dancoff approaches. Physical Review C, American Physical Society, 2007, 76, pp.014304. ⟨10.1103/PhysRevC.76.014304⟩. ⟨in2p3-00292985⟩

Share

Metrics

Record views

114