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In this article, we set up a functional setting for mean-field electronic structure models of Hartree-Fock or Kohn-Sham types for disordered crystals. The electrons are quantum particles and the nuclei are classical point-like articles…

Mathematical Physics · Physics 2013-12-11 Eric Cancès , Salma Lahbabi , Mathieu Lewin

In electronic structure theory, restricted single-reference coupled cluster (CC) captures weak correlation but fails catastrophically under strong correlation. Spin-projected unrestricted Hartree-Fock (SUHF), on the other hand, misses weak…

Chemical Physics · Physics 2017-11-22 John A. Gomez , Thomas M. Henderson , Gustavo E. Scuseria

Quantum many-body nuclear dynamics is treated at the mean-field level with the time-dependent Hartree-Fock (TDHF) theory. Low-lying and high-lying nuclear vibrations are studied using the linear response theory. The fusion mechanism is also…

Nuclear Theory · Physics 2014-02-05 C. Simenel , M. Dasgupta , D. J. Hinde , A. Kheifets , A. Wakhle

The quark mean-field (QMF) model is applied to study the single $\Lambda^+_c$ hypernuclei. The charm baryon, $\Lambda^+_c$, is constructed by three constituent quarks, $u, ~d$, and $c$, confined by central harmonic oscillator potentials.…

Nuclear Theory · Physics 2020-02-26 Linzhuo Wu , Jinniu Hu , Hong Shen

The evolution of the energy difference between the neutron states $1i_{13/2}$ and $1h_{9/2}$ in the $N=82$ isotones and that between the proton states $1h_{11/2}$ and $1g_{7/2}$ in the $Z = 50$ isotopes are investigated within the framework…

Nuclear Theory · Physics 2021-07-27 Zhiheng Wang , Tomoya Naito , Haozhao Liang

The dynamical influence of $\Lambda$ hyperons on the excited-state properties of closed-shell multi-$\Lambda$ Ca, Ni, Sn and Pb hypernuclei is investigated using the self-consistent Hartree-Fock + Random Phase Approximation in coordinate…

Nuclear Theory · Physics 2026-03-26 Bahruz Suleymanli , Kutsal Bozkurt , Elias Khan , Haşim Güven , Jerome Margueron

Octupole vibrations are studied in some doubly magic nuclei using the time-dependent Hartree-Fock (TDHF) theory with a Skyrme energy density functional. Through the use of the linear response theory, the energies and transition amplitudes…

Nuclear Theory · Physics 2016-09-07 C. Simenel , J. Buete , K. Vo-Phuoc

The Lagrangian density of standard relativistic mean-field (RMF) models with density-dependent meson-nucleon coupling vertices is modified by introducing couplings of the meson fields to derivative nucleon densities. As a consequence, the…

Nuclear Theory · Physics 2007-05-23 S. Typel

We examine a recently proposed nucleon-nucleon interaction, claimed by its authors both realistic and leading to a standing wave instability in symmetric nuclear matter. Contrary to these claims, we find that this interaction leads to a…

Nuclear Theory · Physics 2009-11-07 Janusz Skalski

We fit the $^1 S_0 \Lambda\Lambda$ interaction in the nuclear medium to the masses of the experimentally known double-$\Lambda$ hypernuclei: $^{\phantom{6}6}_{\Lambda\Lambda}$He, $^{10}_{\Lambda\Lambda}$Be and $^{13}_{\Lambda\Lambda}$B. We…

Nuclear Theory · Physics 2009-09-25 J. Caro , C. Garcia-Recio , J. Nieves

Adopting hyperon-nucleon and hyperon-nucleon-nucleon interactions parametrized in chiral effective field theory, single-particle potentials of the $\Lambda$ and $\Sigma$ hyperons are evaluated in symmetric nuclear matter and in pure neutron…

Nuclear Theory · Physics 2018-03-14 M. Kohno

A compelling feature of relativistic mean-field phenomenology has been the reproduction of spin-orbit splittings in finite nuclei after fitting only to equilibrium properties of infinite nuclear matter. This successful result occurs when…

Nuclear Theory · Physics 2009-10-30 R. J. Furnstahl , John J. Rusnak , Brian D. Serot

The shapes of light normal nuclei and $\Lambda$ hypernuclei are investigated in the $(\beta, \gamma)$ deformation plane by using a newly developed constrained relativistic mean field (RMF) model. As examples, the results of some C, Mg, and…

Nuclear Theory · Physics 2015-03-19 Bing-Nan Lu , En-Guang Zhao , Shan-Gui Zhou

Properties of finite nuclei are investigated based on relativistic Hartree equations which have been derived from a relativistic quark model of the structure of bound nucleons. Nucleons are assumed to interact through the (self-consistent)…

Nuclear Theory · Physics 2007-05-23 Kazuo Tsushima , Koichi Saito , Anthony W. Thomas

Brueckner theory is used to investigate the in-medium properties of a $\Lambda$-hyperon in nuclear and neutron matter, based on hyperon-nucleon interactions derived within SU(3) chiral effective field theory (EFT). It is shown that the…

Nuclear Theory · Physics 2017-06-28 J. Haidenbauer , U. -G. Meißner , N. Kaiser , W. Weise

We present a purely numerical approach in Cartesian grid, for efficient computation of Hartree-Fock (HF) exchange contribution in the HF and density functional theory models. This takes inspiration from a recently developed algorithm [Liu…

Chemical Physics · Physics 2019-04-05 Abhisek Ghosal , Tanmay Mandal , Amlan K. Roy

The spin-dependent localized Hartree-Fock (SLHF) density-functional approach is extended to the treatment of the inner-shell excited-state calculation of open-shell atomic systems. In this approach, the electron spin-orbitals in an…

Atomic Physics · Physics 2009-11-13 Zhongyuan Zhou , Shih-I Chu

We study the binding energies, radii, single-particle energies, spin-orbit potential and density profile for multi-strange hypernuclei in the range of light mass to superheavy region within the relativistic mean field (RMF) theory. The…

Nuclear Theory · Physics 2015-06-22 M. Ikram , S. K. Singh , A. A. Usmani , S. K. Patra

The two recent density-dependent versions of the finite-range M3Y interaction (CDM3Y$n$ and M3Y-P$n$) have been probed against the bulk properties of asymmetric nuclear matter (NM) in the nonrelativistic Hartree Fock (HF) formalism. The…

Nuclear Theory · Physics 2010-05-07 Hoang Sy Than , Dao T. Khoa , Nguyen Van Giai

The microscopic origin of the spin-orbit (SO) potential in terms of sub-baryonic degrees of freedom is explored and discussed for application to nuclei and hyper-nuclei. We thus develop a chiral relativistic approach where the coupling to…

Nuclear Theory · Physics 2020-08-28 Guy Chanfray , Jérôme Margueron