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The time-dependent Dirac equation can be solved exactly for ionization induced by ultrarelativistic heavy ion collisions. Ionization calculations are carried out in such a framework for a number of representative ion-ion pairs. For each…

Atomic Physics · Physics 2009-10-31 Anthony J. Baltz

We develop a nuclear mass model that is based on chiral effective field theory at next-to-next-to leading order. Nuclear binding energies are computed via the Hartree-Fock method using a Hamiltonian from delta-full chiral effective field…

Nuclear Theory · Physics 2025-04-30 C. Mishra , A. Ekström , G. Hagen , M. Menickelly , T. Papenbrock , S. M. Wild

For the bound-muon decay process, the study of atomic effects on the electron spectrum near its endpoint is performed within the framework of the Fermi effective theory. The analysis takes into account for corrections due to…

Atomic Physics · Physics 2025-06-04 M. Y. Kaygorodov , Y. S. Kozhedub , A. V. Malyshev , A. O. Davydov , Y. Wu , S. B. Zhang

The most precise to-date evaluation of the nuclear recoil effect on the $n=1$ and $n=2$ energy levels of He-like ions is presented in the range $Z=12-100$. The one-electron recoil contribution is calculated within the framework of the…

Atomic Physics · Physics 2018-04-03 A. V. Malyshev , R. V. Popov , V. M. Shabaev , N. A. Zubova

We present a general multi-component density functional theory in which electrons and nuclei are treated completely quantum mechanically, without the use of a Born-Oppenheimer approximation. The two fundamental quantities in terms of which…

Materials Science · Physics 2007-05-23 Thomas Kreibich , Robert van Leeuwen , E. K. U. Gross

In this paper, we use density functional theory to calculate the electronic structure and properties of 46 metallic and semi-metallic elements. The binding energy and bond charge model (BBC) model is combined with the tight binding and…

Materials Science · Physics 2023-06-21 Liangjing Ge , Maolin Bo

If one-electron observables of a many-electron system are of interest, a many-electron dynamics can be represented exactly by a one-electron dynamics with effective potentials. The formalism for this reduction is provided by the Exact…

Chemical Physics · Physics 2021-01-04 Jakub Kocák , Axel Schild

Electric field dynamics at a positive ion imbedded in an electron gas is considered using a semiclassical description. The dependence of the field autocorrelation function on charge number is studied for strong ion-electron coupling via MD…

Statistical Mechanics · Physics 2009-11-07 James Dufty , Ilya Pogorelov , Bernard Talin , Annette Calisti

A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the…

Chemical Physics · Physics 2020-10-13 Dimitri N. Laikov

Approximate scaling laws with respect to the nuclear charge are introduced for the time-dependent Dirac equation describing hydrogen-like ions subject to laser fields within the dipole approximation. In particular, scaling relations with…

Atomic Physics · Physics 2018-12-12 I. V. Ivanova , V. M. Shabaev , Dmitry A. Telnov , Alejandro Saenz

Multicomponent methods are a conceptually simple way to include nuclear quantum effects into quantum chemistry calculations. In multicomponent methods, the electronic molecular orbitals are described using the linear combination of atomic…

Chemical Physics · Physics 2022-12-02 Irina Samsonova , Gabrielle B. Tucker , Naresh Alaal , Kurt R. Brorsen

Using halo effective field theory (EFT), an expansion in $R_{core}/R_{halo}$, where $R_{core}$ is the radius of the core and $R_{halo}$ the radius of the halo nucleus, we calculate the charge and neutron form factors of the two-neutron halo…

Nuclear Theory · Physics 2017-02-22 Jared Vanasse

A model for the description of proton collisions from molecules composed of atoms such as hydrogen, carbon, nitrogen, oxygen and phosphorus (H, C, N, O, P) was recently extended to treat collisions with multiply charged ions with a focus on…

Atomic Physics · Physics 2020-07-28 Hans Jürgen Lüdde , Alba Jorge , Marko Horbatsch , Tom Kirchner

One presented some lattice models, while the theoretic derivation has not been found, and the importance of correlation effects has to be emphasized. On the basis of the non-relativistic Hamiltonian from the Dirac equation, we derive in…

General Physics · Physics 2009-08-25 Tian De Cao

The hyperpolarizability of an atom is a property that describes the nonlinear interaction between an atom and an external electric field leading to a higher-order Stark shift. Accurate evaluations of these coefficients for various systems…

Atomic Physics · Physics 2025-02-12 Shan-Shan Lu , Hong-Yuan Zheng , Zong-Chao Yan , James F. Babb , Li-Yan Tang

The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

Nuclear Theory · Physics 2021-04-27 S. Gmuca , K. Petrik , J. Leja

Bulk nuclear observables such as charge radii and binding energies are well described by both nonrelativistic and covariant mean-field models. However, predictions of neutron radii, which are not tightly constrained by reliable data, vary…

Nuclear Theory · Physics 2009-07-09 R. J. Furnstahl

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…

Taking into account the negative searches for New Physics at the LHC, electroweak effective theories are appropriate to deal with current energies. Tracks of new, higher scales can be studied through next-to leading order corrections of the…

High Energy Physics - Phenomenology · Physics 2017-10-19 Ignasi Rosell , Claudius Krause , Antonio Pich , Joaquín Santos , Juan José Sanz-Cillero

It is shown that the probe-independent charge radius of the neutrino is a physical observable; as such, it may be extracted from experiment, at least in principle. This is accomplished by expressing a set of experimental neutrino-electron…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bernabeu , J. Papavassiliou , J. Vidal
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