dorsal/arxiv
View SchemaGround-state properties of even-even N=Z nuclei within the Hartree-Fock-BCS and Higher Tamm-Dancoff approaches
| Authors | L. Bonneau, P. Quentin, K. Sieja |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703102 |
| URL | https://arxiv.org/abs/nucl-th/0703102 |
| DOI | 10.1103/PhysRevC.76.014304 |
| Journal | Phys.Rev.C76:014304,2007 |
Abstract
We calculate the ground-state properties of well deformed, even-even N=Z nuclei in the region between Ni-56 and Sn-100 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 parameterization 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.
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"abstract": "We calculate the ground-state properties of well deformed, even-even N=Z\nnuclei in the region between Ni-56 and Sn-100 within two different approaches,\nfocusing on the binding energy and deformation and pairing properties. First,\nwe employ the Hartree-Fock-BCS (HFBCS) approximation with the Skyrme effective\nnucleon-nucleon interaction and discuss how the results depend on the\nparameterization of the interaction and on the pairing force parameters\nadjusted in various schemes to reproduce the experimental odd-even mass\ndifferences. Then, within the Higher Tamm-Dancoff Approximation (HTDA), which\nexplicitly conserves the particle number, we calculate the same properties\nstarting from the HFBCS solutions. The HTDA treatment of the ground-state\ncorrelations is converged within a n-particle-n-hole expansion using up to n=4\nparticle-hole excitations of the pair type (in the sense of Cooper pairs). We\ncompare the ground-state properties calculated in these two descriptions of\npairing correlations and deduce the importance of the particle-number\nconservation in weak pairing regimes. Finally, we extend the HTDA calculations\nso as to include the proton-neutron residual interaction and investigate the\nrole of proton-neutron pairing on the above ground-state properties.",
"arxiv_id": "nucl-th/0703102",
"authors": [
"L. Bonneau",
"P. Quentin",
"K. Sieja"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.76.014304",
"journal_ref": "Phys.Rev.C76:014304,2007",
"title": "Ground-state properties of even-even N=Z nuclei within the Hartree-Fock-BCS and Higher Tamm-Dancoff approaches",
"url": "https://arxiv.org/abs/nucl-th/0703102"
},
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