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Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the rate for the fusion process $p + p \ra d + e^+ + \nu_e$ to leading order in the momentum expansion. Coulomb…

Nuclear Theory · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

The numerical implementation of an exchange-correlation functional is not always an accurate reproduction of its theoretical specification. For example, density functionals for exchange and correlation can be defined by an exchange or…

Materials Science · Physics 2012-11-01 Jonathan E. Moussa , Peter A. Schultz

A new finite-range representation of the JLM effective nucleon-nucleon interaction is suggested based on the CDM3Y density dependent functional and M3Y-Paris interaction. The density dependence has been carefully adjusted at each energy so…

Nuclear Theory · Physics 2007-08-30 Dao T. Khoa , Do Cong Cuong

While in principle exact, Kohn-Sham density functional theory -- the workhorse of computational chemistry -- must rely on approximations for the exchange-correlation functional. Despite staggering successes, present-day approximations still…

We present a theoretical approach to study the dynamics of spherical, cylindrical and ellipsoidal charge distributions under their self-Coulomb field and a stochastic force due to collisions and random motions of charged particles. The…

Plasma Physics · Physics 2022-02-14 Omid Zandi , Renske M. van der Veen

We report on numerical studies of the energy spectrum and the localization properties in the double-layer quantum Hall system at $\nu = 1$. The Coulomb interaction is treated by the Hartree-Fock approximation, and the localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jun-ichiro Watanabe , Tatsuya Nakajima

We investigate the behavior of disordered interacting electrons in the insulating regime. Our study is based on the quantum Coulomb glass model which is obtained from the classical Coulomb glass by adding hopping matrix elements between…

Disordered Systems and Neural Networks · Physics 2015-06-25 Frank Epperlein , Michael Schreiber , Thomas Vojta

An approach to achieve nuclear fusion utilizing the formation of high densities of electrons and neutrals is described. The profusion of low energy electrons provides high dynamic electric fields that help reduce the Coulomb barrier in…

Plasma Physics · Physics 2019-08-30 Alfred Y. Wong , Chun-Ching Shih

One approximation is made to describe a M+1 electron many-body wavefunction by a M electron many-body wavefunction and a single electron wavefunction. Under this approximation, we have derived the Coulomb energy which relates the exciton…

Materials Science · Physics 2007-05-23 Lin-Wang Wang

A relativistic density-functional theory based on a Fock-space effective quantum-electrodynamics (QED) Hamiltonian using the Coulomb or Coulomb-Breit two-particle interaction is developed. This effective QED theory properly includes the…

Chemical Physics · Physics 2021-05-03 Julien Toulouse

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

We present a relativistic chiral effective theory for symmetric and asymmetric nuclear matter taken in the Hartree-Fock scheme. The nuclear binding is insured by a background chiral invariant scalar field associated with the radial…

Nuclear Theory · Physics 2008-12-18 E. Massot , G. Chanfray

Density functional theory was used to study the nonmagnetic (NM) and ferromagnetic (FM) phases of face-centered cubic cerium. Functionals of four levels of approximations for the exchange-correlation energy were used: LDA, PBE, LDA/PBE+$U$,…

Strongly Correlated Electrons · Physics 2014-04-09 Fabien Tran , Ferenc Karsai , Peter Blaha

We develop a quantum kinetic theory of two-dimensional electron gases in which exchange is treated self-consistently at the Hartree-Fock level and enters as a nonlocal, momentum-dependent field in phase space. By starting from the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 J. L. Figueiredo , J. T. Mendonça , H. Terças

By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear electric…

High Energy Physics - Theory · Physics 2016-07-01 T. C. Adorno , D. M. Gitman , A. E. Shabad

The relativistic Hartree approach describing the bound states of both nucleons and anti-nucleons in finite nuclei has been extended to include tensor couplings for the $\omega$- and $\rho$-meson. After readjusting the parameters of the…

Nuclear Theory · Physics 2009-11-07 Guangjun Mao

We compute the ground-state properties of finite systems of neutrons in an external harmonic trap, interacting via the Minnesota potential, using the "exact-exchange" form of orbital-dependent density functional theory. We compare our…

Nuclear Theory · Physics 2011-07-28 Joaquín E. Drut , Lucas Platter

We study the energy of relativistic electrons and positrons interacting via the second quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock approximation. We show that the associated functional has a…

Mathematical Physics · Physics 2007-05-23 J. -M. Barbaroux , W. Farkas , B. Helffer , H. Siedentop

We study the relation between the finite-range (meson-exchange) and zero-range (point-coupling) representations of effective nuclear interactions in the relativistic mean-field framework. Starting from the phenomenological interaction…

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