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We perform Hartree-Fock-Bogoliubov (HFB) calculations for semi-magic Calcium, Nickel, Tin and Lead isotopes and $N$=20, 28, 50 and 82 isotones using density-dependent pairing interactions recently derived from a microscopic nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 J. Margueron , H. Sagawa , K. Hagino

The neutron and proton odd-even mass differences are studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction, which is recently derived from a microscopic…

Nuclear Theory · Physics 2009-09-11 C. A. Bertulani , H. F. Lu , H. Sagawa

We survey odd-even nuclear binding energy staggering using density functional theory with several treatments of the pairing interaction including the BCS, Hartree-Fock-Bogoliubov, and the Hartree-Fock-Bogoliubov with the Lipkin-Nogami…

Nuclear Theory · Physics 2011-12-02 G. F. Bertsch , C. A. Bertulani , W. Nazarewicz , N. Schunck , M. V. Stoitsov

Finite nuclei such as those found in the chain of even tin isotopes from ^{102}Sn to ^{130}Sn, exhibit a near constancy of the 2^+_1-0^+_1 excitation energy, a constancy which can be related to strong pairing correlations and the near…

Nuclear Theory · Physics 2007-05-23 Oe. Elgaroey , T. Engeland , M. Hjorth-Jensen , E. Osnes

We study 1S0 pairing gaps in neutron and nuclear matter as well as in finite nuclei on the basis of microscopic two-nucleon interactions. Special attention is paid to the consistency of the pairing interaction and normal self-energy…

Nuclear Theory · Physics 2009-10-29 K. Hebeler , T. Duguet , T. Lesinski , A. Schwenk

This work aims at a global assessment of the effect of the density dependence of the zero-range pairing interaction. Systematic Skyrme-Hartree-Fock-Bogoliubov calculations with the volume, surface and mixed pairing forces are carried out to…

Nuclear Theory · Physics 2015-08-11 S. A. Changizi , Chong Qi

This study presents a systematic investigation of the effects of isospin, including both T=0 and T=/0 components, on nucleon pairing correlations in fp-shell nuclei. To this aim, the interacting boson model-4, which explicitly incorporates…

Nuclear Theory · Physics 2026-05-29 Hossein Emami , Hadi Sabri

We investigate the effects of neutron-neutron (nn), proton-proton (pp) and proton-neutron (pn) pairing correlations on the ground-states of $N = Z$ even-even $pf$-shell nuclei by using an axially symmetric deformed Hartree-Fock…

Nuclear Theory · Physics 2025-07-25 Xin Lian , C. L. Bai , H. Sagawa , H. Q. Zhang

The isospin dependence of in-medium nuclear effective interactions is a fundamental issue in nuclear physics and has broad ramifications in astrophysics. Its uncertainties, especially the difference of neutron-proton interactions in the…

Nuclear Theory · Physics 2022-06-15 Bao-An Li , Bao-Jun Cai , Lie-Wen Chen , Wen-Jie Xie , Jun Xu , Nai-Bo Zhang

The FRS-ESR facility at GSI provides unique conditions for precision measurements of large areas on the nuclear mass surface in a single experiment. Values for masses of 604 neutron-deficient nuclides (30<=Z<=92) were obtained with a…

The neutron and proton odd-even mass differences are systematically studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction. The strength of pairing interactions is…

Nuclear Theory · Physics 2015-06-03 C. A. Bertulani , Hongliang Liu , H. Sagawa

A systematic global investigation of pairing properties based on all available experimental data on pairing indicators has been performed for the first time in the framework of covariant density functional theory. It is based on separable…

Nuclear Theory · Physics 2021-11-17 S. Teeti , A. V. Afanasjev

We have studied odd-even nuclear mass staggering with the Skyrme-Hartree-Fock-Bogoliubov theory by employing isoscalar and isovector contact pairing interactions. By reproducing the empirical odd-even mass differences of the Sn isotopic…

Nuclear Theory · Physics 2015-05-20 W. J. Chen , C. A. Bertulani , F. R. Xu , Y. N. Zhang

We have done systematic Hartree-Fock-Bogoliubov calculations in coordinate space on the one-quasi-particle energies and binding energy odd-even staggering (OES) in semi-magic nuclei with the zero-range volume, mixed and surface pairing…

Nuclear Theory · Physics 2016-05-31 S. A. Changizi , Chong Qi

Unlike their lighter counterparts, most odd-odd N=Z nuclei with mass A > 40 40 have ground states with isospin T=1, suggesting an increased role for the isovector pairing interaction. A simple SO(5) seniority-like model of this interaction…

Nuclear Theory · Physics 2008-11-26 J. Engel , K. Langanke , P. Vogel

We analyse the contribution of isovector and isoscalar proton-neutron pairing to the binding energies of even-even nuclei with $N-Z=0,2,4$ and atomic mass $20 < A <100$. The binding energies are calculated in the mean-field approach by…

Nuclear Theory · Physics 2022-04-06 D. Negrea , N. Sandulescu , D. Gambacurta

We use shell model techniques in the complete pf shell to study pair correlations in nuclei. Particular attention is paid to the competition of isoscalar and isovector proton-neutron pairing modes which is investigated in the odd-odd N=Z…

Nuclear Theory · Physics 2009-10-31 G. Martinez-Pinedo , K. Langanke , P. Vogel

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…

Nuclear Theory · Physics 2015-06-12 H. Sagawa , K. Hagino

Within the framework of BCS theory and Skyrme-Hartree-Fock model, we employ various microscopic pairing gaps and effective pairing interactions to study pairing effects on the equation of state (EOS) of neutron matter and the symmetry…

Nuclear Theory · Physics 2019-10-09 Zhen Zhang , Lie-Wen Chen

We explore, within the framework of an algebraic sp(4) shell model, discrete approximations to various derivatives of the energies of the lowest isovector-paired 0^+ states of atomic nuclei in the 40 <A < 100 mass range. The results show…

Nuclear Theory · Physics 2008-11-26 K. D. Sviratcheva , A. I. Georgieva , J. P. Draayer
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