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Effects of Core Polarization and Pairing Correlations on Some Ground-State Properties of Deformed Odd-Mass Nuclei Within the Higher Tamm-Dancoff Approach

Abstract : In self-consistent mean-field approaches, the description of odd-mass nuclei requires to break the time-reversal invariance of the underlying one-body hamiltonian. This induces a polarization of the even-even core to which the odd nucleon is added. To properly describe the pairing correlations (in T = 1 and T = 0 channels) in such nuclei, we implement the particle-number conserving Higher Tamm-Dancoff approximation with a residual δ interaction in each isospin channel by restricting the many-body basis to two-particle-two-hole excitations of pair type (nn, pp and np) on top of the Hartree-Fock solution. We apply this approach to the calculation of two ground-state properties of well-deformed nuclei |Tz| = 1 nuclei around 24Mg and 48Cr, namely the isovector odd-even binding-energy difference and the magnetic dipole moment, focusing on the impact of pairing correlations.
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http://hal.in2p3.fr/in2p3-00605510
Contributor : Virginie Mas <>
Submitted on : Friday, July 1, 2011 - 9:51:19 PM
Last modification on : Thursday, January 11, 2018 - 6:12:50 AM

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L. Bonneau, J. Le Bloas, P. Quentin, N. Minkov. Effects of Core Polarization and Pairing Correlations on Some Ground-State Properties of Deformed Odd-Mass Nuclei Within the Higher Tamm-Dancoff Approach. International Journal of Modern Physics E, World Scientific Publishing, 2011, 20, pp.252-258. ⟨10.1142/S0218301311017594⟩. ⟨in2p3-00605510⟩

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