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{Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , A. S. Umar , M. Vallières , M. R. Strayer

The shell structure of magic nuclei far from stability is discussed in terms of the self-consistent spherical Hartree-Fock-Bogoliubov theory. In particular, the sensitivity of the shell-gap sizes and the two-neutron separation energies to…

Nuclear Theory · Physics 2015-06-26 J. Dobaczewski , W. Nazarewicz , T. R. Werner

Two methods based on bremsstrahlung were applied to the stable even Mo isotopes for the experimental determination of the photon strength function covering the high excitation energy range above 4 MeV with its increasing level density.…

Nuclear Experiment · Physics 2010-04-14 M. Erhard , A. R. Junghans , C. Nair , R. Schwengner , R. Beyer , J. Klug , K. Kosev , A. Wagner , E. Grosse

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

We reanalyze the results of our extensive Hartree-Fock + BCS calculation from new points of view paying attention to the properties of unstable nuclei. The calculation has been done with the Skyrme SIII force for the ground and shape…

Nuclear Theory · Physics 2008-11-26 Naoki Tajima

The isoscalar and isovector particle densities and the surface tension coefficients at the average binding energy are used to derive analytical expressions of the neutron skin thickness and the isovector stiffness of sharp edged…

Nuclear Theory · Physics 2015-06-12 J. P. Blocki , A. G. Magner , P. Ring , A. A. Vlasenko

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

An improved prescription for choosing a transformed harmonic oscillator (THO) basis for use in configuration-space Hartree-Fock-Bogoliubov (HFB) calculations is presented. The new HFB+THO framework that follows accurately reproduces the…

Nuclear Theory · Physics 2011-05-12 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , S. Pittel , D. J. Dean

The semiclassical method for description of the radiative strength function is used for asymmetric nuclei with $N \ne Z$. The theory is based on the linearized Vlasov-Landau equations in two-component finite Fermi liquid. The dependence of…

Nuclear Theory · Physics 2017-08-23 V. A. Plujko , M. O. Kavatsyuk , O. O. Kavatsyuk

Based on the Relativistic continuum Hartree-Bogoliubov (RCHB) theory, the pseudo-spin approximation in exotic nuclei is investigated in Zr and Sn isotopes from the proton drip line to the neutron drip line. The quality of the pseudo-spin…

Nuclear Theory · Physics 2008-11-26 J. Meng , K. Sugawara-Tanabe , S. Yamaji , A. Arima

Ground-state properties of spherical even-even nuclei $14\leq Z \leq 28$ and $N=18,20,22$ are described in the framework of Relativistic Hartree Bogoliubov (RHB) theory. The model uses the NL3 effective interaction in the mean-field…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , G. A. Lalazissis , P. Ring

We calculate positions of one- and two-particle, proton and neutron drip lines within the Hartree-Fock-Bogoliubov theory using Skyrme interaction. We also determine an approximate $r$-process path defined as a line where the neutron binding…

Nuclear Theory · Physics 2008-11-26 R. Smolańczuk , J. Dobaczewski

We have developed a new HFB code that specifically addresses nuclear structure physics near the driplines. The HFB equations are solved on a two-dimensional lattice for axially symmetric even-even nuclei using B-Spline techniques. The…

Nuclear Theory · Physics 2007-05-23 V. E. Oberacker , A. S. Umar , J. Chen , E. Teran

A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm…

Exotic and drip-line nuclei as well as nuclei immersed in a low density gas of neutrons in the outer crust of neutron stars are systematically investigated with respect to their neutron pairing properties. This is done using Skyrme…

Nuclear Theory · Physics 2015-06-15 A. Pastore , J. Margueron , P. Schuck , X. Viñas

The coordinate space formulation of the Hartree-Fock-Bogoliubov (HFB) method enables self-consistent treatment of mean-field and pairing in weakly bound systems whose properties are affected by the particle continuum space. Of particular…

Nuclear Theory · Physics 2008-12-24 J. C. Pei , M. V. Stoitsov , G. I. Fann , W. Nazarewicz , N. Schunck , F. R. Xu

Low-lying electric-dipole ($E1$) strength of a neutron-rich nucleus contains information on neutron-skin thickness, deformation, and shell evolution. We discuss the possibility of making use of total reaction cross sections on $^{40}$Ca,…

Nuclear Theory · Physics 2017-09-13 W. Horiuchi , S. Hatakeyama , S. Ebata , Y. Suzuki

An implementation of the Hartree-Fock (HF) method capable of robust convergence for well-behaved arbitrary central potentials is presented. The Hartree-Fock equations are converted to a generalized eigenvalue problem by employing a B-spline…

Atomic Physics · Physics 2021-08-13 D. T. Waide , D. G. Green , G. F. Gribakin

The microscopic origin of the $^{229m}$Th isomer and its possible manifestation also in neighboring nuclei is explored within a selfconsistent Skyrme Hartree-Fock plus Bardeen-Cooper-Schrieffer approach. By using the well established SIII…

Nuclear Theory · Physics 2024-09-30 Nikolay Minkov , Adriana Pálffy , Philippe Quentin , Ludovic Bonneau

The evolution of the low-lying E1 strength in proton-rich nuclei is analyzed in the framework of the self-consistent relativistic Hartree-Bogoliubov (RHB) model and the relativistic quasiparticle random-phase approximation (RQRPA). Model…

Nuclear Theory · Physics 2009-11-11 N. Paar , D. Vretenar , P. Ring