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The phenomenological Skyrme energy density functional theory is one of the most popular theories for dealing with finite nuclei and infinite nuclear matter, including neutron star matter. However, the density dependence of the effective…

Nuclear Theory · Physics 2025-01-06 Mingya Duan , Michael Urban

The continued miniaturization of semiconductor devices, represented by Moore's law, has reached the atomic scale limit, requiring nanoscale quantum mechanical effects to be included in device simulations without empirical parameters. For…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Yong-Hoon Kim , Ryong-Gyu Lee

Properties of asymmetric nuclear matter are derived from various many-body approaches. This includes phenomenological ones like the Skyrme Hartree-Fock and relativistic mean field approaches, which are adjusted to fit properties of nuclei,…

Nuclear Theory · Physics 2009-04-28 P. Gögelein , E. N. E. van Dalen , Kh. Gad , Kh. S. A. Hassaneen , H. Müther

The Hartree-Fock problem was recently recast as a semidefinite optimization over the space of rank-constrained two-body reduced-density matrices (RDMs) [Phys. Rev. A 89, 010502(R) (2014)]. This formulation of the problem transfers the…

Chemical Physics · Physics 2018-04-10 Daniel R. Nascimento , A. Eugene DePrince

Recently, a microscopically motivated nuclear energy density functional was derived by applying the density matrix expansion to the Hartree-Fock (HF) energy obtained from long-range chiral effective field theory two- and three-nucleon…

Nuclear Theory · Physics 2019-01-15 Y. N. Zhang , S. K. Bogner , R. J. Furnstahl

In the present paper we explore the neutron-drip region of cold non-rotating isolated neutron stars. We have performed extended nuclear-structure calculations for nuclei embedded in the electron gas. For modeling the outer crust we use a…

Nuclear Theory · Physics 2021-01-01 Uwe Heinzmann , Igor Mishustin , Stefan Schramm

In the framework of the KIDS generalized energy density functional (EDF), the nuclear equation of state (EoS) is expressed as an expansion in powers of the Fermi momentum or the cubic root of the density ($\rho^{1/3}$). Although an optimal…

Nuclear Theory · Physics 2019-07-24 Hana Gil , Young-Min Kim , Chang Ho Hyun , Panagiota Papakonstantinou , Yongseok Oh

We show that a lattice formulation of density-functional theory (DFT), guided by renormalization-group concepts, can be used to obtain numerical predictions of energy gaps, spin-density profiles, critical exponents, sound velocities,…

Strongly Correlated Electrons · Physics 2009-11-13 Francisco C. Alcaraz , Klaus Capelle

In spite of numerous scientific and practical applications, there is still no comprehensive theoretical description of the nuclear fission process based solely on protons, neutrons and their interactions. The most advanced simulations of…

Nuclear Theory · Physics 2025-10-29 N. Schunck , K. R. Quinlan , J. Bernstein

PET requires accurate, precise, and efficient scatter correction techniques. Conventional scatter estimation typically relies on tail-fitted single-scatter simulation (SSS) strategy. However, the accuracy of tail-fitted SSS is limited, for…

Nuclear energy density functionals successfully reproduce properties of nuclei across almost the entire nuclear chart. However, nearly all available functionals are phenomenological in nature and lack a rigorous connection to systematically…

Nuclear Theory · Physics 2024-01-22 L. Zurek , S. K. Bogner , R. J. Furnstahl , R. Navarro Pérez , N. Schunck , A. Schwenk

The problem of the effective mass scaling in the single particle spectra calculated within the Skyrme energy density functional (EDF) method is studied. It is demonstrated that for specific pairs of orbitals the commonly anticipated…

Nuclear Theory · Physics 2008-11-26 W. Satula , R. A. Wyss , M. Zalewski

A set of relativistic mean field models is constructed including the Hartree and Hartree-Fock approximation accounting for the exchange of isoscalar and isovector mesons as well as the pion. Density dependent coupling functions are…

Nuclear Theory · Physics 2011-09-02 E. N. E. van Dalen , H. Müther

Present applications of the dispersive-optical-model analysis are restricted by the use of a local but energy-dependent version of the generalized Hartree-Fock potential. This restriction is lifted by the introduction of a corresponding…

Nuclear Theory · Physics 2010-12-02 W. H. Dickhoff , D. Van Neck , S. J. Waldecker , R. J. Charity , L. G. Sobotka

We present SPARC-atomSFE, a spectral finite-element package for accurate and efficient atomic structure calculations within the framework of Kohn-Sham density functional theory. The package supports both all-electron and norm conserving…

Computational Physics · Physics 2026-05-19 Qihao Cheng , Shubhang Krishnakant Trivedi , Phanish Suryanarayana

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

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

Density functional theory has been an essential analysis tool for both theoretical and experimental chemists since accurate hybrid functionals were developed. Here we propose a local hybrid method derived from the optimized effective…

Chemical Physics · Physics 2017-03-24 Jaewook Kim , Kwangwoo Hong , Sang-Yeon Hwang , Seongok Ryu , Sunghwan Choi , Woo Youn Kim

The non-relativistic model of nuclear matter with Brussels extended Skyrme interactions is employed in order to build, within a Bayesian approach, models for the dense matter equation of state (EOS). In addition to a minimal set of…

Nuclear Theory · Physics 2024-09-12 Mikhail V. Beznogov , Adriana R. Raduta

A new scheme to study the properties of finite nuclei is proposed based on the Dirac-Brueckner-Hartree-Fock (DBHF) approach starting from a bare nucleon-nucleon interaction. The relativistic structure of the nucleon self-energies in nuclear…

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