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We introduce the transition-density formalism, an efficient and general method for calculating the interaction of external probes with light nuclei. One- and two-body transition densities that encode the nuclear structure of the target are…

Nuclear Theory · Physics 2020-12-30 Harald W. Griesshammer , Judith A. McGovern , Andreas Nogga , Daniel R. Phillips

The Relativistic Hartree Bogoliubov (RHB) model is applied in the self-consistent mean-field approximation to the description of the neutron halo in the mass region above the s-d shell. Pairing correlations and the coupling to particle…

Nuclear Theory · Physics 2009-02-11 W. Poeschl , D. Vretenar , G. A. Lalazissis , P. Ring

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

Nuclear Theory · Physics 2008-11-26 F. Hofmann , H. Lenske

A variety of phases in the inner crust of neutron stars are crucial for understanding the pulsar phenomena. However, the three-dimensional coordinate-space calculation of the phases is computationally demanding. We aim to generalize the…

Nuclear Theory · Physics 2025-07-14 Chengpeng Yu , Takashi Nakatsukasa

Parity violating elastic electron scattering on neutron-rich nuclei is described in the framework of relativistic mean-field theory. Self-consistent ground state density distributions of Ne, Na, Ni and Sn isotopes are calculated with the…

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

Hartree-Fock-Bogolyubov (HFB) calculations making use of a recently proposed microscopic effective pairing interaction are presented. The interaction was shown to reproduce the pairing properties provided by the realistic $AV18$ force very…

Nuclear Theory · Physics 2009-11-10 T. Duguet , P. Bonche

The elastic and inelastic scattering of protons from mirror nuclei $^{18}$Ne and $^{18}$O are studied in a folding model approach. For comparison, two different effective interactions are folded with Hartree-Fock densities to obtain the…

Nuclear Theory · Physics 2009-11-10 D. Gupta , D. N. Basu

We present a new numerical tool designed to probe the dense layers of neutron star crusts. It is based on the time-dependent Hartree-Fock-Bogoliubov theory with generalized Skyrme nuclear energy-density functionals of the Brussels-Montreal…

Nuclear Theory · Physics 2024-12-05 Daniel Pȩcak , Agata Zdanowicz , Nicolas Chamel , Piotr Magierski , Gabriel Wlazłowski

Proton and neutron densities from Skyrme-Hartree-Fock (SHF) calculations are used to generate non-local (g-folding) proton-nucleus optical potentials. They are formed by folding the densities with realistic nucleon-nucleon interactions. The…

Nuclear Theory · Physics 2011-03-28 S. Karataglidis , K. R. Henninger , W. R. Richter , K. Amos

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

We derive and implement symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations and apply them to the molecular electronic structure problem. All symmetries (particle number, spin, spatial, and complex conjugation) are deliberately…

Strongly Correlated Electrons · Physics 2012-02-15 Gustavo E. Scuseria , Carlos A. Jimenez-Hoyos , Thomas M. Henderson , Kousik Samanta , Jason K. Ellis

A systematic investigation of even-even superheavy elements in the region of proton numbers $100 \leq Z \leq 130$ and in the region of neutron numbers from the proton-drip line up to neutron number $N=196$ is presented. For this study we…

Nuclear Theory · Physics 2016-04-27 S. E. Agbemava , A. V. Afanasjev , T. Nakatsukasa , P. Ring

Double folding potential is constructed using the M3Y interaction and the matter densities of the projectile and target nuclei obtained from four microscopic energy density functional (EDF) models. The elastic scattering cross sections for…

Nuclear Theory · Physics 2024-01-17 Kyoungsu Heo , Hana Gil , Ki-Seok Choi , K. S. Kim , Chang Ho Hyun , W. Y. So

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

We perform particle-number projected mean-field study using the recently developed symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations. Realistic calculations have been performed in sd- and fp-shell nuclei using the shell model…

Nuclear Theory · Physics 2015-05-20 I. Maqbool , J. A. Sheikh , P. A. Ganai , P. Ring

Nucleon density distributions and nucleus-nucleus interaction potentials for the reactions $^{16}$O+$^{40}$Ca, $^{16}$O+$^{56}$Fe and $^{16}$O+$^{90}$Zr have been calculated in the framework of the modified Thomas-Fermi method and…

Nuclear Theory · Physics 2023-01-12 V. A. Nesterov , O. I. Davydovska , V. Yu. Denisov

The covariant density functional theory with a few number of parameters has been widely used to describe the ground-state and excited-state properties for the nuclei all over the nuclear chart. In order to describe exotic properties of…

Nuclear Theory · Physics 2016-03-11 Jie Meng , Shan-Gui Zhou

Numerical difficulties associated with computing matrix elements of operators between Hartree-Fock-Bogoliubov (HFB) wavefunctions have plagued the development of HFB-based many-body theories for decades. The problem arises from divisions by…

Chemical Physics · Physics 2023-06-09 Guo P. Chen , Gustavo E. Scuseria

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

Within the relativistic Hartree-Fock-Bogoliubov (RHFB) theory, the structure properties of Carbon isotopes are systematically studied. In order to reproduce the experiment data, we take the finite-range Gogny D1S with a strength factor $f$…

Nuclear Theory · Physics 2019-04-24 Xiao Li Lu , Bao Yuan Sun , Wen Hui Long