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We perform systematic calculations of pairing gaps in semi-magic nuclei across the nuclear chart using the Energy Density Functional method and a {\it non-empirical} pairing functional derived, without further approximation, at lowest order…

Nuclear Theory · Physics 2010-11-02 T. Lesinski , T. Duguet , K. Bennaceur , J. Meyer

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

The odd-even mass staggering in nuclei is analyzed in the context of self-consistent mean-field calculations, for spherical as well as for deformed nuclei. For these nuclei, the respective merits of the energy differences $\Delta^{(3)}$ and…

Nuclear Theory · Physics 2009-11-07 T. Duguet , P. Bonche , P. -H. Heenen , J. Meyer

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

We present the first study of pairing in nuclei including three-nucleon forces. We perform systematic calculations of the odd-even mass staggering generated using a microscopic pairing interaction at first order in chiral low-momentum…

Nuclear Theory · Physics 2015-03-19 Thomas Lesinski , Kai Hebeler , Thomas Duguet , Achim Schwenk

We perform a systematic study of the odd-even mass staggering generated using a pairing interaction computed at first order in low-momentum interactions. Building on previous work including the (nuclear plus Coulomb) two-nucleon interaction…

Nuclear Theory · Physics 2014-11-20 T. Duguet , T. Lesinski , K. Hebeler , A. Schwenk

The present contribution reports the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions. As a first step, the…

Nuclear Theory · Physics 2008-11-26 T. Duguet , T. Lesinski

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 examine the general nature of nuclear odd-even mass differences by employing neutron and proton mass relations that emphasize these effects. The most recent mass tables are used. The possibility of a neutron excess dependence of the…

Nuclear Theory · Physics 2014-08-27 D. Hove , A. S. Jensen , K. Riisager

The odd-even staggerings (OES) on nuclear binding energies are studied systematically within the covariant density functional (CDF) theories, specifically the relativistic Hartree-Fock-Bogoliubov (RHFB) and the relativistic…

Nuclear Theory · Physics 2019-04-24 Long Jun Wang , Bao Yuan Sun , Jian Min Dong , Wen Hui Long

Systematic odd-even binding energy differences in finite metallic particles are usually attributed to mean-field orbital energy effects or to a coherent pairing interaction. We show analytically and numerically that a purely random two-body…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 Thomas Papenbrock , Lev Kaplan , George F. Bertsch

The odd-even mass staggering (OES) of nuclei is analyzed in the context of self-consistent mean-field calculations. The procedure developed allows to understand the OES for spherical as well as for deformed nuclei. Comparison with results…

Nuclear Theory · Physics 2007-05-23 T. Duguet , P. Bonche , P. -H. Heenen , J. Meyer

The phenomenological adjustment of the nuclear pairing strength is usually performed with respect to the odd-even staggering of the binding energies. We find that the results strongly depend on the way in which the ground states of the odd…

Nuclear Theory · Physics 2015-06-26 K. Rutz , M. Bender , P. -G. Reinhard , J. A. Maruhn

Non-empirical effective contact pairing forces to be used in self-consistent mean-field calculations are presented. These pairing forces, constructed so as to reproduce exactly any given microscopic pairing gaps in infinite homogeneous…

Nuclear Theory · Physics 2010-09-21 Nicolas Chamel

The existing nuclear masses formula and nuclear masses model has undoubtedly achieved very good results, but it is still not satisfactory for some nuclear masses. Although there are many studies in Odd-Even staggering (OES) of nuclear…

Nuclear Theory · Physics 2020-05-12 B. B. Jiao

I review the phenomena associated with pairing in nuclear physics, most prominently the ubiquitous presence of odd-even mass differences and the properties of the excitation spectra, very different for even-even and odd-A nuclei. There are…

Nuclear Theory · Physics 2017-08-23 G. F. Bertsch

Two types of average neutron-proton interaction formulas are compared: In the first type, neutron-proton interactions for even-even and odd-$A$ nuclei extracted from experimental binding energies show a smooth behavior as a function of mass…

Nuclear Theory · Physics 2016-03-30 Zheying Wu , S. A. Changizi , Chong Qi

The fragmentation of thermalized sources is studied using a version of the Statistical Multifragmentation Model which employs state densities that take the pairing gap in the nuclear levels into account. Attention is focused on the…

A short review of recent results on the global performance of covariant energy density functionals is presented. It is focused on the analysis of the accuracy of the description of physical observables of ground and excited states as well…

Nuclear Theory · Physics 2015-01-20 A. V. Afanasjev , S. E. Agbemava , D. Ray , P. Ring

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
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