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Related papers: Whence the odd-even staggering in nuclear binding?

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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 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

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 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

Odd-even staggering of binding energies is studied in finite fermion systems with pairing correlations. We discuss contributions of the pairing and mean-field to the staggering, and we construct the binding-energy filters which measure the…

Nuclear Theory · Physics 2009-11-06 J. Dobaczewski , P. Magierski , W. Nazarewicz , W. Satula , Z. Szymanski

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 trends with mass number are examined for the odd-even-staggering (OES) in nuclear binding of neutrons and protons through the conventional measures $\Delta^{(3)}$. The large differences previously observed between these trends for even…

Nuclear Theory · Physics 2009-11-04 W. A. Friedman

The odd-even staggering of nuclear masses was recognized in the early days of nuclear physics. Recently, a similar effect was discovered in other finite fermion systems, such as ultrasmall metallic grains and metal clusters. It is believed…

Nuclear Theory · Physics 2008-11-26 W. Satuła , J. Dobaczewski , W. Nazarewicz

Nuclear shapes and odd-nucleon blockings strongly influence the odd-even differences of nuclear masses. When such effects are taken into account, the determination of the pairing strength is modified resulting in larger pair gaps. The…

Nuclear Theory · Physics 2009-10-31 F. R. Xu , R. Wyss , P. M. Walker

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

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

We calculate the binding energy and deformation parameter for light nuclei with and without pairing using a deformed relativistic mean field model. The role of BCS-type pairing effect is analyzed for Ne and F isotopes. The calculated…

Nuclear Theory · Physics 2007-05-23 P. Arumugam , T. K. Jha , S. K. Patra

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

In order to extract informations on pairing correlations in nuclei from experimental mass differences, the different contributions to odd-even mass differences are investigated within the Skyrme HFB method. In this first paper, the…

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

We have performed shell-model calculations of binding energies of nuclei around $^{132}$Sn. The main aim of our study has been to find out if the behavior of odd-even staggering across N=82 is explainable in terms of the shell model. In our…

Nuclear Theory · Physics 2015-06-16 L. Coraggio , A. Covello , A. Gargano , N. Itaco

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 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

The interplay of pairing is explored for the spectral statistics of nuclear systems with emphasis on the nearest neighbor spacing distributions by employing the kernel density and maximum likelihood estimation techniques. Different…

Nuclear Theory · Physics 2013-06-25 H. Sabri , B. Rashidian Maleki , J. Fouladi , N. Fouladi , M. A. Jafarizadeh

It is proposed that the odd-even staggering (OES) in the $\gamma$- bands of heavy deformed nuclei can be reasonably characterized by a discrete approximation of the fourth derivative of the odd-even energy difference as a function of…

Nuclear Theory · Physics 2009-11-06 Nikolay Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , Dennis Bonatsos

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…

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