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We investigate the structure of the potential energy surfaces of the superheavy nuclei 258Fm, 264Hs, (Z=112,N=166), (Z=114,N=184), and (Z=120,N=172) within the framework of self-consistent nuclear models, i.e. the Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2008-11-26 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn , W. Greiner

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

We present a density matrix approach for computing global solutions of Hartree-Fock theory, based on semidefinite programming (SDP), that gives upper and lower bounds on the Hartree-Fock energy of quantum systems. Equality of the upper- and…

Chemical Physics · Physics 2014-02-11 Srikant Veeraraghavan , David A. Mazziotti

Within the nuclear density functional theory (DFT) we study the effect of reflection-asymmetric shapes on ground-state binding energies and binding energy differences. To this end, we developed the new DFT solver AxialHFB that uses an…

Nuclear Theory · Physics 2013-03-05 E. Olsen , J. Erler , W. Nazarewicz , M. Stoitsov

The temperature dependence of the symmetry energy for isotopic chains of even-even Ni, Sn, and Pb nuclei is investigated in the framework of the local density approximation (LDA). The Skyrme energy density functional with two Skyrme-class…

Nuclear Theory · Physics 2017-02-22 A. N. Antonov , D. N. Kadrev , M. K. Gaidarov , P. Sarriguren , E. Moya de Guerra

The nuclear $\alpha$ decay of heavy nuclei is investigated based on the nuclear energy density functional, which leads to the $\alpha$ potential inside the parent nucleus in terms of the proton and neutron density profiles of the daughter…

Nuclear Theory · Physics 2017-03-22 Yeunhwan Lim , Yongseok Oh

Within the framework of Skyrme energy-density functional theory, the nucleus-nucleus potential is calculated and potential energy surface is obtained with different effective forces for accurately estimating the formation cross sections of…

Nuclear Theory · Physics 2022-06-28 Cheng Peng , Zhao-Qing Feng

The nucleon mean-field potential has been thoroughly investigated in an extended Hartree-Fock (HF) calculation of nuclear matter (NM) using the CDM3Y3 and CDM3Y6 density dependent versions of the M3Y interaction. The single-particle (s/p)…

Nuclear Theory · Physics 2015-08-25 Doan Thi Loan , Bui Minh Loc , Dao T. Khoa

The coordinate-space Hartree-Fock-Bogoliubov (HFB) approach with quasiparticle blocking has been applied to study the odd-A weakly bound nuclei $^{17,19}$B and $^{37}$Mg, in which halo structures have been reported in experiments. The…

Nuclear Theory · Physics 2015-06-16 Xueyu Xiong , Junchen Pei , Yinu Zhang , Yi Zhu

The ground-state properties and shape evolution of even-even hafnium isotopes ranging from $N=80$ to the neutron dripline are thoroughly examined using Covariant Density Functional Theory (CDFT) with density-dependent effective…

Nuclear Theory · Physics 2025-09-17 Usuf Rahaman

The properties of asymmetric nuclear matter have been investigated in a relativistic Dirac-Brueckner-Hartree-Fock framework using the Bonn A potential. The components of the self-energies are extracted by projecting on Lorentz invariant…

Nuclear Theory · Physics 2009-11-10 E. N. E. van Dalen , C. Fuchs , Amand Faessler

Properties of nuclear matter are investigated in the framework of relativistic Brueckner-Hartree-Fock model with the latest high-precision charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion and nucleon is adopted…

Nuclear Theory · Physics 2020-10-28 Chencan Wang , Jinniu Hu , Ying Zhang , Hong Shen

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

Machine learning is employed to build an energy density functional for self-bound nuclear systems for the first time. By learning the kinetic energy as a functional of the nucleon density alone, a robust and accurate orbital-free density…

Nuclear Theory · Physics 2022-03-21 X. H. Wu , Z. X. Ren , P. W. Zhao

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 properties of kaonic nuclei are studied using a two-dimensional Skyrme-Hartree-Fock model with a $KN$ Skyrme force. We focus in particular on the instability of the solutions for a too strong $KN$ interaction, which determines a maximum…

Nuclear Theory · Physics 2019-10-11 Yun Jin , Chao Feng Chen , Xian-Rong Zhou , Yi-Yuan Cheng , H. -J. Schulze

Parameters of the nuclear density functional theory (DFT) models are usually adjusted to experimental data. As a result they carry certain theoretical error, which, as a consequence, carries out to the predicted quantities. In this work we…

Nuclear Theory · Physics 2015-06-22 Markus Kortelainen

We put a stringent constraint on the isovector nuclear interactions in the Skyrme-Hartree-Fock model from the centroid energy $E_{-1}$ of the isovector giant dipole resonance in $^{208}$Pb as well as its electric polarizability $\alpha_D$.…

Nuclear Theory · Physics 2020-10-07 Jun Xu , Jia Zhou , Zhen Zhang , Wen-Jie Xie , Bao-An Li

A systematic study of the pairing-correlations derived from various particle-number projection methods is performed in an exactly soluble cranked-deformed shell model Hamiltonian. It is shown that most of the approximate particle-number…

Nuclear Theory · Physics 2009-11-07 J. A. Sheikh , P. Ring , E. Lopes , R. Rossignoli

We present a new approach for calculating the nuclear equation of state and compressibility for finite nuclei using the density-constrained Hartree-Fock method.

Nuclear Theory · Physics 2008-11-26 A. S. Umar , V. E. Oberacker
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