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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

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

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

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

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

We explore the systematics of odd-even mass staggering with a view to identifying the physical mechanisms responsible. The BCS pairing and mean field contributions have A- and number parity dependencies which can help disentangle the…

Nuclear Theory · Physics 2009-07-22 W. A. Friedman , G. F. Bertsch

We discuss the role of pairing anti-halo effect in the observed odd-even staggering in reaction cross sections for $^{30,31,32}$Ne and $^{36,37,38}$Mg isotopes by taking into account the ground state deformation of these nuclei. To this…

Nuclear Theory · Physics 2017-12-20 Y. Urata , K. Hagino , H. Sagawa

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 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

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

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

From the experimental data on odd-even staggering of masses, we have shown that variation of pairing as a function of neutron number plays an important role in many distinctive features like occurrence of new shell closures, shell erosion,…

Nuclear Theory · Physics 2012-04-24 M. Saha Sarkar , S. Sarkar

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 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…

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

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 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

Some binding-energy-related quantities serving as effective order parameters have been used to analyze the shape phase transition in the odd Sm nuclei. It is found that the signals of phase transition in the odd Sm nuclei are greatly…

Nuclear Theory · Physics 2015-10-28 Yu Zhang , Xin Guan , Yin Wang , Yan Zuo , Li-na Bao , Feng Pan

Ground-state properties of exotic even-even nuclei with extreme neutron-to-proton ratios are described in the framework of the self-consistent mean-field theory with pairing formulated in coordinate space. This theory properly accounts for…

Nuclear Theory · Physics 2008-11-26 J. Dobaczewski , W. Nazarewicz , T. R. Werner , J. F. Berger , C. R. Chinn , J. Dechargé

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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