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We derive an analytic connection between the screened self-consistent effective potential from density functional theory (DFT) and atomic effective pseudopotentials (AEPs). The motivation to derive AEPs is to address structures with…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 J. R. Cárdenas , G. Bester

We seek to obtain a usable form of the nuclear energy density functional that is rooted in the modern theory of nuclear forces. We thus consider a functional obtained from the density matrix expansion of local nuclear potentials from chiral…

Nuclear Theory · Physics 2018-05-23 R. Navarro Perez , N. Schunck , A. Dyhdalo , R. J. Furnstahl , S. K. Bogner

In this review, we will discuss the results of our recent work to study the general optimization of the pure isovector parameters of the popular relativistic mean-field (RMF) and Skyrme-Hartree-Fock (SHF) nuclear energy-density functionals…

Nuclear Theory · Physics 2013-03-27 F. J. Fattoyev , W. G. Newton , Jun Xu , Bao-An Li

We present an updated general purpose nuclear equation of state (EoS) for use in simulations of core-collapse supernovae, neutron star mergers and black hole collapse. This EoS is formulated in the context of Density Functional Theory (DFT)…

We present the first successful functional renormalization group(FRG)-aided density-functional (DFT) calculation of the equation of state (EOS) of an infinite nuclear matter (NM) in (1+1)-dimensions composed of spinless nucleons. We give a…

Nuclear Theory · Physics 2019-02-06 Takeru Yokota , Kenichi Yoshida , Teiji Kunihiro

Nuclear matter is studied within the Density Functional Theory (DFT) framework. Our method employs a finite number of nucleons in a box subject to periodic boundary conditions, in order to simulate infinite matter and study its response to…

Nuclear Theory · Physics 2023-04-26 Francesco Marino , Gianluca Colò , Xavier Roca-Maza , Enrico Vigezzi

The self-energy effect on the neutron-proton (np) pairing gap is investigated up to the third order within the framework of the extend Bruecker-Hartree-Fock (BHF) approach combined with the BCS theory. The self-energy up to the second-order…

Nuclear Theory · Physics 2019-07-26 Xiao-Hua Fan , Xin-le Shang , Jian-Min Dong , Wei Zuo

We report the first use of the effective QMC energy density functional (EDF), derived from a quark model of hadron structure, to study a broad range of ground state properties of even-even nuclei across the periodic table in the…

Nuclear Theory · Physics 2016-03-23 J. R. Stone , P. A. M. Guichon , P. G. Reinhard , A. W. Thomas

A microscopic framework of nuclear energy density functionals is reviewed, which establishes a direct relation between low-energy QCD and nuclear structure, synthesizing effective field theory methods and principles of density functional…

Nuclear Theory · Physics 2008-11-26 Dario Vretenar

Semi-local density functionals for the exchange-correlation energy of electrons are extensively used as it produce realistic and accurate results for finite and extended systems. The choice of techniques play crucial role in constructing…

Materials Science · Physics 2017-11-01 Subrata Jana , Prasanjit Samal

Pairing correlations are ubiquitous in low-energy states of atomic nuclei. To incorporate them within nuclear density functional theory, often used for global computations of nuclear properties, pairing functionals that generate nucleonic…

Nuclear Theory · Physics 2026-05-22 Sudhanva Lalit , Paul-Gerhard Reinhard , Kyle Godbey , Witold Nazarewicz

Constraining the nuclear matter equation of state (EOS) beyond saturation density is a central goal of nuclear physics and astrophysics. While the relativistic Brueckner-Hartree-Fock (RBHF) theory, an \textit{ab initio,} non-perturbative…

Nuclear Theory · Physics 2025-12-23 Kangmin Chen , Xiaoying Qu , Hui Tong , Sibo Wang , Yangyang Yu

The development of systematic effective field theories (EFTs) for nuclear forces and advances in solving the nuclear many-body problem have greatly improved our understanding of dense nuclear matter and the structure of finite nuclei. For…

Nuclear Theory · Physics 2025-09-30 Brendan T. Reed , Matthias Heinz , Pierre Arthuis , Achim Schwenk , Ingo Tews

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new,…

Nuclear Theory · Physics 2010-11-19 Alexandros Gezerlis , G. F. Bertsch

The kinetic energy (KE) kernel, which is defined as the second order functional derivative of the KE functional with respect to density, is the key ingredient to the construction of KE models for orbital free density functional theory…

Materials Science · Physics 2025-05-15 Zhandos A. Moldabekov , Xuecheng Shao , Michele Pavanello , Jan Vorberger , Tobias Dornheim

Nuclear Density Functional Theory (DFT) plays a prominent role in the understanding of nuclear structure, being the approach with the widest range of applications. Hohenberg and Kohn theorems warrant the existence of a nuclear Energy…

Nuclear Theory · Physics 2020-03-03 G. Accorto , P. Brandolini , F. Marino , A. Porro , A. Scalesi , G. Colò , X. Roca-Maza , E. Vigezzi

We survey approaches to nonrelativistic density functional theory (DFT) for nuclei using progress toward ab initio DFT for Coulomb systems as a guide. Ab initio DFT starts with a microscopic Hamiltonian and is naturally formulated using…

Nuclear Theory · Physics 2009-12-04 J. E. Drut , R. J. Furnstahl , L. Platter

We show that in two dimensions (2D) a systematic expansion of the self-energy and the effective interaction of the dilute electron gas in powers of the two-body T-matrix T_0 can be generated from the exact hierarchy of functional…

Strongly Correlated Electrons · Physics 2007-05-23 Francesca Sauli , Peter Kopietz

We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the…

Nuclear Theory · Physics 2009-03-24 Gautam Rupak , Thomas Schaefer

We present a real-space formulation and higher-order finite-difference implementation of periodic Orbital-free Density Functional Theory (OF-DFT). Specifically, utilizing a local reformulation of the electrostatic and kernel terms, we…

Computational Physics · Physics 2015-12-23 Swarnava Ghosh , Phanish Suryanarayana