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We present results of the Hartree-Fock-Bogolyubov calculations performed using nuclear energy density functionals based on regularized functional generators at next-to-leading and next-to-next-to-leading order. We discuss properties of…

Nuclear Theory · Physics 2017-01-30 K. Bennaceur , J. Dobaczewski , Y. Gao

We extend a recent calculation of the nuclear energy density functional in the framework of chiral perturbation theory by computing the isovector surface and spin-orbit terms: $(\vec \nabla \rho_p- \vec \nabla \rho_n)^2 G_d(\rho)+ (\vec…

Nuclear Theory · Physics 2014-11-20 N. Kaiser

We study the ^{1}S_{0} proton pairing gap in neutron star matter putting emphasis on influence of the Dirac effective mass and the proton fraction on the gap within the relativistic Hartree-Bogoliubov model. The gap equation is solved using…

Nuclear Theory · Physics 2009-11-10 Tomonori Tanigawa , Masayuki Matsuzaki , Satoshi Chiba

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 density functional scheme for calculating the pair density is presented by means of the constrained-search technique. The resultant single-particle equation takes the form of the modified Hartree-Fock equation which contains the kinetic…

Strongly Correlated Electrons · Physics 2015-06-25 Masahiko Higuchi , Katsuhiko Higuchi

A model with nucleons in a charge-independent potential well interacting by an isovector pairing force is considered. For a 24-dimensional valence space, the Hartree-Bogolyubov (HB) plus random phase approximation (RPA) to the lowest…

Nuclear Theory · Physics 2014-03-24 I. Bentley , K. Neergård , S. Frauendorf

The equation of state of asymmetric nuclear matter as well as the neutron and proton effective masses and their partial-wave and spin-isospin decomposition are analyzed within the Brueckner--Hartree--Fock approach. Theoretical uncertainties…

Nuclear Theory · Physics 2024-04-05 Isaac Vidaña , Jérôme Margueron , Hans-Josef Schulze

Based on the relativistic Hartree-Bogoliubov theory, the influence of the pairing interaction strength on the di-neutron correlations and the crossover from superfluidity of neutron Cooper pairs in the $^{1}S_{0}$ channel to Bose-Einstein…

Nuclear Theory · Physics 2012-07-05 Ting Ting Sun , Bao Yuan Sun , Jie Meng

The neutron pair correlation in nuclei near the neutron drip-line is investigated using the selfconsistent continuum Skyrme-Hartree-Fock-Bogoliubov theory formulated with the coordinate-space Green's function technique. Numerical analysis…

Nuclear Theory · Physics 2011-05-13 Ying Zhang , Masayuki Matsuo , Jie Meng

In a recent paper we studied the behavior of the pairing gaps $\Delta_F$ as a function of the Fermi momentum $k_F$ for neutron and nuclear matter in all relevant angular momentum channels where superfluidity is believed to naturally emerge.…

Nuclear Theory · Physics 2014-12-01 P. Finelli , S. Maurizio , J. W. Holt

Properties of density-dependent contact pairing interactions in nuclei are discussed. It is shown that the pairing interaction that is intermediate between surface and volume pairing forces gives the pairing gaps that are compatible with…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski , W. Nazarewicz , M. V. Stoitsov

The Hartree-Fock-Bogoliubov (HFB) equations in coordinate representation are solved exactly, i.e., with correct asymptotic boundary conditions for the continuous spectrum. The calculations are preformed with effective Skyrme interactions.…

Nuclear Theory · Physics 2009-11-07 M. Grasso , N. Sandulescu , Nguyen Van Giai , R. J. Liotta

A consistent folding model analysis of the ($\Delta S=0, \Delta T=1$) charge exchange \pn reaction measured with $^{48}$Ca, $^{90}$Zr, $^{120}$Sn and $^{208}$Pb targets at the proton energies of 35 and 45 MeV is done within a two-channel…

Nuclear Theory · Physics 2008-11-26 Dao T. Khoa , Hoang Sy Than , Do Cong Cuong

The possible exotic nuclear properties in the neutron-rich Ca, Ni, Zr, and Sn isotopes are explored with the continuum Skyrme Hartree-Fock-Bogoliubov theory formulated with the Green's function method. The available experimental two-neutron…

Nuclear Theory · Physics 2022-05-26 En-Bo Huo , Ting-Ting Sun , Ke-Ran Li , Xiao-Ying Qu , Ying Zhang

A realistic nuclear mean-field hamiltonian with pairing has been diagonalized using Fock space representation that allows for nearly exact treatment of the problem. Calculations were performed for all the even-even nuclei with Z in (20,…

Nuclear Theory · Physics 2007-05-23 J. Dudek , K. Mazurek , B. Nerlo-Pomorska

Pair densities and associated correlation functions provide a critical tool for introducing many-body correlations into a wide-range of effective theories. Ab initio calculations show that two-nucleon pair-densities exhibit strong spin and…

The giant halos predicted in neutron-rich Zr isotopes with $A=124-138$ are investigated by using the self-consistent continuum Skyrme Hartree-Fock-Bogoliubov approach, in which the asymptotic behavior of continuum quasiparticle states is…

Nuclear Theory · Physics 2013-10-08 Y. Zhang , M. Matsuo , J. Meng

Nuclear pairing is studied both in atomic nuclei and in neutron-star crusts in the unified framework of the energy-density functional theory using generalized Skyrme functionals complemented with a local pairing functional obtained from…

Nuclear Theory · Physics 2017-08-23 N. Chamel , J. M. Pearson , S. Goriely

In cold atoms and in the crust of neutron stars the pairing gap can reach values comparable with the Fermi energy. While in nuclei the neutron gap is smaller, it is still of the order of a few percent of the Fermi energy. The pairing…

Nuclear Theory · Physics 2021-12-28 Aurel Bulgac

We investigated effects of pairing correlations on the neutron skin thickness and the symmetry energy of finite nuclei. In this calculation we used Hartree-Fock-Bogoliubov (HFB) method with Skyrme forces and effective pairing interactions.…

Nuclear Theory · Physics 2017-08-23 Soonchul Choi , Ying Zhang , Myung-Ki Cheoun , Youngshin Kwon , Kyungsik Kim , Hungchong Kim