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A particle-number projection technique is used to calculate transfer probabilities in the $^{16}$O+$^{208}$Pb reaction below the fusion barrier. The time evolution of the many-body wave function is obtained with the time-dependent…

Nuclear Theory · Physics 2010-11-11 Cédric Simenel

The inclusion of nucleonic exchange energy has been a long-standing challenge for the relativistic density functional theory (RDFT) in nuclear physics. We propose an orbital-dependent relativistic Kohn-Sham density functional theory to…

Nuclear Theory · Physics 2023-04-26 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Tae-Sun Park

Self-consistent calculations within the relativistic mean field theory (RMFT) were performed for 150 spherical even-even nuclei. The macroscopic part of the binding energy was evaluated by subtracting the Strutinsky shell corrections from…

Nuclear Theory · Physics 2009-11-07 Bozena Nerlo-Pomorska , Katarzyna Mazurek

Pairing properties of even-even superheavy N=184 isotones are studied within the Skyrme-Hartree-Fock+BCS approach. In the particle-hole channel we take the Skyrme energy density functional SLy4, while in the particle-particle channel we…

Nuclear Theory · Physics 2008-11-26 A. Staszczak , J. Dobaczewski , W. Nazarewicz

Time-dependent Hartree-Fock (TDHF) theory has been a powerful tool in describing a variety of complex nuclear dynamics microscopically without empirical parameters. In this contribution, recent advances in nuclear dynamics studies with TDHF…

Nuclear Theory · Physics 2019-03-26 Kazuyuki Sekizawa

Restricted open-shell Hartree-Fock (ROHF) theory is formulated as a projected self-consistent unrestricted HF (UHF) model by mathematically constraining spin density eigenvalues. The resulting constrained UHF (CUHF) wave function is…

Strongly Correlated Electrons · Physics 2015-05-19 Takashi Tsuchimochi , Gustavo E. Scuseria

Hybrid density functionals, which replaces a fraction of density functional theory (DFT) exchange with exact Hartree-Fock (HF) exchange, have been used to study the structural, magnetic, and electronic properties of delta-Plutonium. The…

Materials Science · Physics 2009-11-13 Raymond Atta-Fynn , Asok K. Ray

We have explored the occurrence of the spherical shell closures for superheavy nuclei in the framework of the relativistic Hartree-Fock-Bogoliubov (RHFB) theory. Shell effects are characterized in terms of two-nucleon gaps $\delta_{2n(p)}$.…

Nuclear Theory · Physics 2015-06-15 Jia Jie Li , Wen Hui Long , Jerome Margueron , Nguyen Van Giai

We study the low temperature transport characteristics of a disordered metal in the presence of electron-electron interactions. We compare Hartree-Fock and dynamical mean field theory (DMFT) calculations to investigate the scattering…

Strongly Correlated Electrons · Physics 2011-09-20 E. C. Andrade , E. Miranda , V. Dobrosavljevic

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest nuclei for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2008-11-26 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

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 propose a procedure to determine the effective nuclear shell-model Hamiltonian in a truncated space from a self-consistent mean-field model, e.g., the Skyrme model. The parameters of pairing plus quadrupole-quadrupole interaction with…

Nuclear Theory · Physics 2009-09-28 Kazunari Kaneko , Takahiro Mizusaki , Yang Sun , Munetake Hasegawa

Time-dependent Hartree-Fock (TDHF) is one of the fundamental post-Hartree-Fock (HF) methods to describe excited states. In its Tamm-Dancoff form, equivalent to Configuration Interaction Singles, it is still widely used and particularly…

Chemical Physics · Physics 2024-11-18 Uday Panta , David A. Strubbe

In earlier work we showed how the low energy behavior of the symmetric Anderson model in a magnetic field $H$ could be described in terms of field dependent renormalized quasiparticles. Here we extend the approach to the non-symmetric…

Strongly Correlated Electrons · Physics 2013-05-29 J. Bauer , A. C. Hewson

We propose a framework to learn the time-dependent Hartree-Fock (TDHF) inter-electronic potential of a molecule from its electron density dynamics. Though the entire TDHF Hamiltonian, including the inter-electronic potential, can be…

Chemical Physics · Physics 2024-12-05 Harish S. Bhat , Prachi Gupta , Christine M. Isborn

We present an analysis of two-proton shell gaps in Sn isotopes. As the theoretical tool we use self-consistent mean-field models, namely the relativistic mean-field model and the Skyrme-Hartree-Fock approach, both with two different pairing…

One of the open problems in nuclear structure is how to predict properties of finite nuclei from the knowledge of a bare nucleon-nucleon interaction of the meson-exchange type. We point out that a promising starting point consists in…

Nuclear Theory · Physics 2014-11-20 Nguyen Van Giai , Brett V. Carlson , Zhongyu Ma , Hermann Wolter

We present detailed results of Unrestricted Hartree-Fock (UHF) calculations for up to eight electrons in a parabolic quantum dot. The UHF energies are shown to provide rather accurate estimates of the ground-state energy in the entire range…

Strongly Correlated Electrons · Physics 2009-11-10 Boris Reusch , Hermann Grabert

We study localization in a quasiperiodic spinful antiferromagnetic Hubbard ring within a self-consistent Hartree-Fock framework, emphasizing the interplay of quasiperiodicity, staggered Zeeman-field-induced antiferromagnetic order, and…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Souvik Roy , Ranjini Bhattacharya

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

Chemical Physics · Physics 2014-04-22 Srikant Veeraraghavan , David A. Mazziotti