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The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski

We critically examine the Hartree-Fock-Bogoliubov (HFB) solution of the equations of motion for condensate fluctuations in a weakly coupled plasma of charged bosons at finite temperature. Analytic expressions are derived for the first two…

Statistical Mechanics · Physics 2009-11-07 B. Davoudi , A. Minguzzi , M. P. Tosi

The non-topological, stationary and propagating, soliton solutions of the classical continuous Heisenberg ferromagnet equation are investigated. A general, rigorous formulation of the Inverse Scattering Transform for this equation is…

Mathematical Physics · Physics 2018-06-18 F. Demontis , S. Lombardo , M. Sommacal , C. van der Mee , F. Vargiu

Brueckner-Hartree-Fock theory allows to derive the $G$-matrix as an effective interaction between nucleons in the nuclear medium. It depends on the center of mass momentum $\bm{P}$ of the two particles and on the two relative momenta…

Nuclear Theory · Physics 2018-11-14 Hui Tong , Xiu-Lei Ren , Peter Ring , Shi-Hang Shen , Si-Bo Wang , Jie Meng

The aim of this work is to develop the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) theory based on the point-coupling density functionals and extend it to provide a unified description for all even-even nuclei in…

We present a new Skyrme-Hartree-Fock-Bogoliubov nuclear-mass model in which the contact-pairing force is constructed from microscopic pairing gaps of symmetric nuclear matter and neutron matter calculated from realistic two- and three-body…

Nuclear Theory · Physics 2010-11-24 S. Goriely , N. Chamel , J. M. Pearson

Mutual entrainment effects in hot neutron-proton superfluid mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. The local mass currents in homogeneous or inhomogeneous nuclear systems,…

Nuclear Theory · Physics 2021-02-24 Valentin Allard , Nicolas Chamel

A study of the nucleon mean-field potential in nuclear matter (NM) is done within an extended Hartree-Fock (HF) formalism, using the CDM3Y6 density dependent version of the M3Y interaction which is associated with the nuclear…

Nuclear Theory · Physics 2024-07-25 Dao T. Khoa , Doan Thi Loan , Nguyen Hoang Phuc

In the theory of resonant scattering, the double differential cross section involves the computation of a multifold integral of a 4-point correlation function, which generalizes the traditional 2-point correlation function of Van-Hove for…

Other Condensed Matter · Physics 2007-09-19 Arnaud Courcelle , John Rowlands

We describe the computational ingredients for an approach to treat interacting fermion systems in the presence of pairing fields, based on path-integrals in the space of Hartree-Fock-Bogoliubov (HFB) wave functions. The path-integrals can…

Strongly Correlated Electrons · Physics 2017-01-30 Hao Shi , Shiwei Zhang

We consider theoretically the problem of an artificial gauge potential applied to a cold atomic system of interacting neutral bosons in a tight-binding optical lattice. Using the Bose-Hubbard model, we show that an effective magnetic field…

Quantum Gases · Physics 2011-01-26 Stephen Powell , Ryan Barnett , Rajdeep Sensarma , Sankar Das Sarma

We study the spectrum of a large system of $N$ identical bosons interacting via a two-body potential with strength $1/N$. In this mean-field regime, Bogoliubov's theory predicts that the spectrum of the $N$-particle Hamiltonian can be…

Mathematical Physics · Physics 2015-05-25 Phan Thành Nam , Robert Seiringer

The prospects of extracting new physics signals in coherent elastic neutrino--nucleus scattering (CE$\nu$NS) processes are limited by the precision with which the underlying nuclear structure physics, embedded in the weak nuclear form…

Nuclear Theory · Physics 2023-04-27 N. Van Dessel , V. Pandey , H. Ray , N. Jachowicz

Self-consistent-field (SCF) approximations formulated using Hartree-Fock (HF) or Kohn-Sham Density Functional Theory (KS-DFT) both have the potential to yield multiple solutions. However, the formal relationship between multiple solutions…

Chemical Physics · Physics 2021-01-06 Rhiannon A. Zarotiadis , Hugh G. A. Burton , Alex J. W. Thom

Density-functional theory with on-site $U$ and inter-site $V$ Hubbard corrections (DFT+$U$+$V$) is a powerful and accurate method for predicting various properties of transition-metal compounds. However, its accuracy depends critically on…

Materials Science · Physics 2025-12-23 Wooil Yang , Iurii Timrov , Francesco Aquilante , Young-Woo Son

In this first in a series of articles, we apply effective interactions derived by the Unitary Correlation Operator Method (UCOM) to the description of open-shell nuclei, using a self-consistent Hartree-Fock-Bogoliubov framework to account…

Nuclear Theory · Physics 2009-09-01 H. Hergert , R. Roth

We report on Hartree-Fock-Bogoliubov (HFB) calculations of the ground-state rotationnal band of the heavy nucleus $^{254}$No recently observed experimentally. The calculated quadrupole deformation is consistent with the experimental value…

Nuclear Theory · Physics 2009-11-06 H. Laftchiev , D. Samsoen , P. Quentin , J. Piperova

The calculations of the elastic scattering properties of ultracold-francium isotopes are reported in the detail. A parametric model potential for the triplet molecular states of the Fr$_{2}$ is represented, and the scattering lengths at and…

Atomic Physics · Physics 2016-08-16 M. Kemal Öztürk , Süleyman Özçelik

We show that the Hartree-Fock-Bogoliubov (HFB) method is able to describe experimental values of alpha decay widths by including a residual nucleon-nucleon Surface Gaussian Interaction (SGI) within the standard procedure used to calculate…

Nuclear Theory · Physics 2023-02-22 A. Dumitrescu , D. S. Delion

We investigate the sensitivity of the medium effect in the high-density region on the nucleus-nucleus elastic scattering in the framework of the double-folding (DF) model with the complex $G$-matrix interaction. The medium effect including…

Nuclear Theory · Physics 2015-06-22 T. Furumoto , Y. Sakuragi , Y. Yamamoto