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Effect of pairing correlations on the isospin-mixing parameter in deformed N = Z even-even nuclei

J. Le Bloas 1 L. Bonneau 1 P. Quentin 1 J. Bartel 2 D. D. Strottman
1 THEORIE - Physique théorique
CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
2 IPHC - Institut Pluridisciplinaire Hubert Curien
Abstract : Within the particle-number conserving highly truncated diagonalization approach (amounting to a severely truncated shell model built on self-consistent mean-field single-particle states), we investigate the isospin mixing in the ground state of axially deformed even-even N = Z nuclei with A < 80. The Skyrme interaction in its SIII parametrization is used to generate the self-consistent mean-field solution, whereas the effective residual interaction is approximated by density-independent δ interactions in the T = 0 and T = 1 isospin channels. In the correlated ground state of the considered nuclei, the obtained values of the isospin-mixing parameter range from a fewtens of a percent to a couple of percents. The pairing correlations in both isospin channels are found to increase a little the isospin-mixing parameter with respect to the Hartree-Fock value by two competing mechanisms. In the T = 0 channel, isospin mixing is brought mostly by neutron-proton one-pair excitations, whereas in the T = 1 channel it is essentially generated by the difference between neutron-neutron and proton-proton one-pair excitations.
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http://hal.in2p3.fr/in2p3-00747326
Contributor : Nathalie Martin <>
Submitted on : Wednesday, October 31, 2012 - 9:25:36 AM
Last modification on : Friday, November 6, 2020 - 7:06:03 PM

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J. Le Bloas, L. Bonneau, P. Quentin, J. Bartel, D. D. Strottman. Effect of pairing correlations on the isospin-mixing parameter in deformed N = Z even-even nuclei. Physical Review C, American Physical Society, 2012, 86, pp.034332. ⟨10.1103/PhysRevC.86.034332⟩. ⟨in2p3-00747326⟩

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