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Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an…

Quantum Physics · Physics 2022-03-24 Eric Ouma Jobunga

Accurate ab initio calculations of the energy levels of the superheavy elements Z=112 are presented. Relativistic Hartree-Fock and configuration interaction methods are combined with the many-body perturbation theory to construct the…

Atomic Physics · Physics 2010-09-20 T. H. Dinh , V. A. Dzuba , V. V. Flambaum

Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a…

Mathematical Physics · Physics 2015-09-17 Karol Makuch , Przemysław Górka

Methods for calculating lower bounds to the exact energy using the variance of the upper bound energy are discussed and explored. All the matrix elements of the Hamiltonian squared are collected and considered, and those for which no known…

Quantum Physics · Physics 2021-07-09 Robbie Thomson Ireland

The aim of this paper is to present a systematic method for computing moments of matrix elements taken from circular orthogonal ensembles (COE). The formula is given as a sum of Weingarten functions for orthogonal groups but the technique…

Probability · Mathematics 2012-09-25 Sho Matsumoto

Variational Monte Carlo calculations for ${_{\Lambda}^4}H$ (ground and excited states) and ${_{\Lambda}^5}He$ are performed to decipher information on ${\Lambda}$-nuclear interactions. Appropriate operatorial nuclear and ${\Lambda}$-nuclear…

Nuclear Theory · Physics 2009-11-07 Rita Sinha , Q. N. Usmani , B. M. Taib

The S-matrix for a spin 1/2 particle in the presence of a potential which is the sum of the Coulomb potential V_c=-A_1/r and a Lorentz scalar potential V_s= -A_2/r is calculated

High Energy Physics - Theory · Physics 2008-11-26 Arvind Narayan Vaidya , Luiz Eduardo Silva Souza

In this paper the structure properties of asymmetrical nuclear matter has been calculated employing AV18 potential for different values of proton to neutron ratio. These calculations have been also made for the case of symmetrical nuclear…

Nuclear Theory · Physics 2015-06-03 G. H. Bordbar , H. Nadgaran

We have developed an all particle Fock-space relativistic coupled-cluster method for two-valence atomic systems. We then describe a scheme to employ the coupled-cluster wave function to calculate atomic properties. Based on these…

Atomic Physics · Physics 2011-01-11 B. K. Mani , D. Angom

By using bare Argonne V4' (AV4'), V6' (AV6'), and V8' (AV8') nucleon-nucleon (NN) interactions respectively, the nuclear equations of state (EOSs) for neutron matter are calculated with the unitary correlation operator and high-momentum…

Nuclear Theory · Physics 2020-12-04 Niu Wan , Takayuki Myo , Chang Xu , Hiroshi Toki , Hisashi Horiuchi , Mengjiao Lyu

An exact treatment of the operators Q/e(\omega) and the total momentum is adopted to solve the nuclear matter Bruecker-Bethe-Goldstone equation with two- and three-body forces. The single-particle potential, equation of state and nucleon…

Nuclear Theory · Physics 2021-07-27 Xin-Le Shang , Jian-Min Dong , Wei Zuo , Peng Yin , U. Lombardo4

We present and analyze results of the relativistic coupled-cluster calculation of energies, hyperfine constants, and dipole matrix elements for the $2s$, $2p_{1/2}$, and $2p_{3/2}$ states of Li atom. The calculations are complete through…

Atomic Physics · Physics 2011-07-13 A. Derevianko , S. G. Porsev , K. Beloy

Precision tests of the Standard Model and searches for beyond the Standard Model physics often require nuclear structure input. There has been a tremendous progress in the development of nuclear ab initio techniques capable of providing…

Nuclear Theory · Physics 2022-01-05 Petr Navratil

The matrix element technique provides a superior statistical sensitivity for precision measurements of important parameters at hadron colliders, such as the mass of the top quark or the cross section for the production of Higgs bosons. The…

High Energy Physics - Experiment · Physics 2014-11-20 Oleg Brandt , Gaston Gutierrez , Michael H. L. S. Wang , Zhenyu Ye

Characterizing the correlated behavior of nucleons inside atomic nuclei constitutes a long-standing challenge, both experimentally and theoretically. It has recently been understood that two-particle correlations in the azimuthal…

Nuclear Theory · Physics 2026-03-04 Stavros Bofos , Benjamin Bally , Thomas Duguet , Mikael Frosini

We propose an algorithm for calculating matrix elements of the non-linear Boltzmann equation collision integral in isotropic case. These matrix elements are used as starting ones in the recurrence procedure for calculating the matrix…

Computational Physics · Physics 2017-03-28 I. A. Ender , L. A. Bakaleinikov , E. Yu. Flegontova , A. B. Gerasimenko

The matrix element method utilizes ab initio calculations of probability densities as powerful discriminants for processes of interest in experimental particle physics. The method has already been used successfully at previous and current…

Computational Physics · Physics 2015-05-20 Doug Schouten , Adam DeAbreu , Bernd Stelzer

The tensorial form of the spin-other-orbit interaction operator in the formalism of second quantization is presented. Such an expression is needed to calculate both diagonal and off-diagonal matrix elements according to an approach, based…

Atomic Physics · Physics 2009-11-10 G. Gaigalas , A. Bernotas , Z. Rudzikas , C. Froese Fischer

Recently, a new approach for solving the three-body problem for (d,p) reactions in the Coulomb-distorted basis in momentum space was proposed. Important input quantities for such calculations are the scattering matrix elements for proton-…

Nuclear Theory · Physics 2015-06-22 L. Hlophe , V. Eremenko , Ch. Elster , F. M. Nunes , G. Arbanas , J. E. Escher , I. J. Thompson

We propose a new variational method for describing nuclear matter from nucleon-nucleon interaction. We use the unitary correlation operator method (UCOM) for central correlation to treat the short-range repulsion and further include the…