Pairing correlations in exotic nuclei

Abstract

The BCS and HFB theories which can accommodate the pairing correlations in the ground states of atomic nuclei are presented. As an application of the pairing theories, we investigate the spatial extension of weakly bound Ne and C isotopes by taking into account the pairing correlation with the Hartree-Fock-Bogoliubov (HFB) method and a 3-body model, respectively. We show that the odd-even staggering in the reaction cross sections of ${}^{30,31,32}$Ne and ${}^{14,15,16}$C are successfully reproduced, and thus the staggering can be attributed to the unique role of pairing correlations in nuclei far from the stability line. A correlation between a one-neutron separation energy and the anti-halo effect is demonstrated for $s$- and p-waves using the HFB wave functions. We also propose effective density-dependent pairing interactions which reproduce both the neutron-neutron ($nn$) scattering length at zero density and the neutron pairing gap in uniform matter. Then, we apply these interactions to study pairing gaps in semi-magic finite nuclei, such as Ca, Ni, Sn and Pb isotopic chains.

12 pages, 4 figures, proceedings of Predeal summer school on "Dynamics of open nuclear systems" (9-20 July, 2012, Predeal Romania)

References in corpus (11)

• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Determination of the structure of ${}^{31}$Ne by full-microscopic framework
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Effective pairing interactions with isospin density dependence
• Odd-even mass difference and isospin dependent pairing interaction
• Reaction cross sections of the deformed halo nucleus 31Ne
• Three-body model calculations for 16C nucleus
• Coulombic effect and renormalization in nuclear pairing
• Pairing correlations and odd-even staggering in reaction cross sections of weakly bound nuclei
• Odd-even staggering of reaction cross sections for 22,23,24O isotopes
• Suppression of Superfluidity upon Overflow of Trapped Fermions. Quantal and Thomas-Fermi Studies

Cited by in corpus (2)

• BEC-BCS Crossover in Neutron Matter with Renormalization Group based Effective Interactions
• Odd-even staggering in neutron drip line nuclei