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We propose here a single Pfaffian correlated variational ansatz, that dramatically improves the accuracy with respect to the single determinant one, while remaining at a similar computational cost. A much larger correlation energy is indeed…

Chemical Physics · Physics 2020-07-28 Claudio Genovese , Tomonori Shirakawa , Kousuke Nakano , Sandro Sorella

We study the nucleon electromagnetic form factors (EM FFs) using a recently developed method combining Chiral Effective Field Theory ($\chi$EFT) and dispersion analysis. The spectral functions on the two-pion cut at $t > 4 M_\pi^2$ are…

High Energy Physics - Phenomenology · Physics 2018-05-16 J. M. Alarcón , C. Weiss

A method and codes for two-step correlation calculation of heavy-atom molecules have been developed, employing the generalized relativistic effective core potential and relativistic coupled cluster (RCC) methods at the first step, followed…

Chemical Physics · Physics 2009-11-07 A. N. Petrov , N. S. Mosyagin , T. A. Isaev , A. V. Titov , V. F. Ezhov , E. Eliav , U. Kaldor

A recent theoretical proposal for teleamplification requires preparation of Fock states, programmable interferometers, and photon-number resolving detectors to herald the teleamplification of an input state. These enable teleportation and…

Quantum Physics · Physics 2023-12-08 Aaron Z. Goldberg , Khabat Heshami

In the framework of the study of helium-like atomic systems possessing the collinear configuration, we propose a simple method for computing compact but very accurate wave functions describing the relevant $S$ state. It is worth noting that…

Atomic Physics · Physics 2021-05-13 Evgeny Z. Liverts , Nir Barnea

The proton's elastic electromagnetic form factors are calculated using an Ansatz for the nucleon's Poincare' covariant Faddeev amplitude that only retains scalar diquark correlations. A spectator approximation is employed for the current.…

Nuclear Theory · Physics 2009-01-14 J. C. R. Bloch , A. Krassnigg , C. D. Roberts

Different kinds of averaging of the wavefunctions/densities of the two-electron atomic systems are investigated. Using the Pekeris-like method, the ground state wave functions $\Psi$ of the helium-like atoms with nucleus charge $1\leq…

Atomic Physics · Physics 2020-04-22 Evgeny Liverts , Rajmund Krivec

Hartree-Fock atom in a strong electric static field is considered. It is demonstrated that exchange between outer and inner electrons, taken into account by the so-called Fock term affects strongly the long-range behavior of the inner…

Atomic Physics · Physics 2015-05-13 M. Ya. Amusia

A scheme is developed for creating pseudopotentials for use in correlated-electron calculations. Pseudopotentials for the light elements H, Li, Be, B, C, N, O, and F, are reported, based on data from high-level quantum chemical…

Materials Science · Physics 2014-05-05 J. R. Trail , R. J. Needs

We recently developed an Effective Field Theory (EFT) for rotational bands in odd-mass nuclei. Here we use EFT expressions to perform a Bayesian analysis of data on the rotational energy levels of $^{99}$Tc, ${}^{155,157}$Gd, ${}^{159}$Dy,…

Nuclear Theory · Physics 2022-03-07 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

Formulas and expectation values which are need to determine the lowest-order QED corrections ($\sim \alpha^3$) and corresponding recoil (or finite mass) corrections in the two-electron helium-like ions are presented. Other important…

Atomic Physics · Physics 2015-09-22 Alexei M. Frolov

Optical potential parameters in nuclear model calculations are determined by fitting elastic scattering angular distribution data. Due to the dominance of Coulomb part, elastic scattering is performed at much higher energies. A different…

Nuclear Theory · Physics 2022-09-07 Dipali Basak , Chinmay Basu

We discuss an approach to accurate numerical computations of slowly convergent properties in two-electron atoms/ions which include the negatively charged Ps$^{-}$ ($e^{-} e^{+} e^{-}$) and H$^{-}$ ions, He atom and positively charged,…

Atomic Physics · Physics 2016-09-21 Alexei M. Frolov , David M. Wardlaw

We calculate the photoionization with excitation-to photoionization ratios for atomic helium and heliumlike ions at intermediate values of the photon energies. The final state interactions between the electrons are included in the lowest…

Quantum Physics · Physics 2009-11-13 E. G. Drukarev , E. Z. Liverts , M. Ya. Amusia , R. Krivec , V. B. Mandelzweig

We discuss the spectral structure and decomposition of multi-photon states. Ordinarily `multi-photon states' and `Fock states' are regarded as synonymous. However, when the spectral degrees of freedom are included this is not the case, and…

Quantum Physics · Physics 2009-11-13 Peter P. Rohde , Wolfgang Mauerer , Christine Silberhorn

The toolbox for imaging molecules is well-equipped today. Some techniques visualize the geometrical structure, others the electron density or electron orbitals. Molecules are many-body systems for which the correlation between the…

The unitarity relations for isovector nucleon form factors in the two-pion approximation for the intermediate states are analytically extended in a model independent way from the real half-axis t > 4 $\mu^2$ ($\mu$ is the pion mass) to the…

Nuclear Theory · Physics 2007-05-23 M. I. Krivoruchenko

We introduce a functional of the local spectral electron density which can be used to to compute the total energy and the local spectral function of strongly-correlated materials. We illustrate the applicability of the method by using as an…

Strongly Correlated Electrons · Physics 2007-05-23 S. Y. Savrasov , G. Kotliar

The $1/Z$-expansion for the Coulomb system of infinitely massive center of charge Z and two electrons is discussed. Numerical deficiency in Baker et al, {\em Phys. Rev. \bf A41}, 1247 (1990) is indicated which continue to raise doubts in…

Quantum Physics · Physics 2013-12-17 J. C. Lopez Vieyra , A. V. Turbiner

In the present letter, it is demonstrated how full configuration interaction (FCI) results in extended basis sets may be obtained to within sub-kJ/mol accuracy by decomposing the energy in terms of many-body expansions in the virtual…

Chemical Physics · Physics 2017-09-15 Janus J. Eriksen , Filippo Lipparini , Jürgen Gauss