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The formalism developed in Refs.~\cite{Guo:2023ecc,Guo:2024zal,Guo:2024pvt} that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral is further…

High Energy Physics - Lattice · Physics 2025-07-04 Peng Guo , Frank X. Lee

It is shown that the equation of motion of the one-particle Green function of an interacting many-electron system is governed by a multiplicative time-dependent exchange-correlation potential, which is the Coulomb potential of a…

Strongly Correlated Electrons · Physics 2022-02-16 Ferdi Aryasetiawan

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

In order to analyze data on charged pions correlation channels, pi^+(2pi^-) and pi^-(2pi^+), we propose new interferometry approach using the Coulomb wave function. We show that to describe adequately data we have to introduce new parameter…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Biyajima , T. Mizoguchi , N. Suzuki

The energy density functional (EDF) method is very widely used in nuclear physics, and among the various existing functionals those based on the relativistic Hartree (RH) approximation are very popular because the exchange contributions…

Nuclear Theory · Physics 2014-05-16 Nguyen Van Giai , Haozhao Liang , Huai-Qiang Gu , Wenhui Long , Jie Meng

We consider the problem of Coulomb corrections to the inclusive cross section. We show that these corrections in the limiting case of small charge number of one of the nuclei coincide with those to the exclusive cross section. Within our…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Lee , A. I. Milstein

The correction to the Coulomb energy due to virtual production of $e^+e^-$ pairs, which is on the order of one percent of the Coulomb energy at nuclear scales is discussed. The effects of including a pair-production term in the…

Nuclear Theory · Physics 2021-08-25 Thomas Settlemyre , Aldo Bonasera , Hua Zheng

The role of Bose-Einstein correlations in a widely discussed intermittency phenomenon is reviewed. In particular, it is shown that particle correlations of different origin are better displayed when analysed as functions of appropriately…

High Energy Physics - Phenomenology · Physics 2015-06-25 I. V. Andreev , M. Biyajima , I. M. Dremin , N. Suzuki

High-precision calculations of the energy levels of the superheavy elements E119 and E120+ are presented. Dominating correlation corrections beyond relativistic Hartree-Fock are included to all orders in the Coulomb interaction using the…

Atomic Physics · Physics 2008-08-13 T. H. Dinh , V. A. Dzuba , V. V. Flambaum , J. S. M. Ginges

We study the influence of a possible coherent component in the boson source on the two-, three- and $n$-particle correlation functions in a generalized core/halo type of boson-emitting source. In particular, a simple formula is presented…

High Energy Physics - Phenomenology · Physics 2009-02-10 T. Csorgo , B. Lorstad , J. Schmidt-Sorensen , A. Ster

In this paper we consider calculation of two-centre exchange integrals over Slater-type orbitals (STOs). We apply the Neumann expansion of the Coulomb interaction potential and consider calculation of all basic quantities which appear in…

Quantum Physics · Physics 2016-11-04 Michał Lesiuk , Robert Moszynski

We applied an analytical formula for Bose-Einstein correlations (BEC) developed by us recently to high-energy heavy ion collisions, in particular to data on S+Pb$\to\pi^+$-$\pi^+$+X reaction at energy $200$ GeV/nucleon reported by the NA44…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Osada , S. Sano , M. Biyajima , G. Wilk

Bose-Einstein correlations and momentum distributions are calculated for longitudinally expanding systems, like jets or high energy heavy ion collisions with light projectiles. The expansion generates a thermal length-scale in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Csorgo

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

We perform the self-consistent Skyrme Hartree-Fock calculation with the Coulomb exchange functional in the form of generalized gradient approximation (GGA). It is found that the Perdew-Burke-Ernzerhof GGA (PBE-GGA) Coulomb exchange…

Nuclear Theory · Physics 2019-02-15 Tomoya Naito , Xavier Roca-Maza , Gianluca Colò , Haozhao Liang

The size of $\pi^+\pi^-$ atom in the low lying states is considerably smaller than the radius of atomic screening. Due to that we can neglect this screening calculating the contribution of multi-photon exchanges. We obtain the analytic…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Yu. Ivanov , L. Szymanowski

We present a systematic analysis of Coulomb corrections for leptonic ($B^0_{d,s}\to \ell^+\ell^-$), semileptonic ($B^0_{d,s}\to h^0\,\ell^+\ell^-$, $B^0_{d,s}\to V^0\ell^+\ell^-$) and radiative leptonic ($B^0_{d,s}\to \gamma \ell^+\ell^-$)…

High Energy Physics - Phenomenology · Physics 2026-02-10 S. I. Manukhov , N. V. Nikitin

It is demonstrated that, within the eikonal approach, the Coulomb corrections to the elastic electromagnetic non-flip and spin-flip proton--nucleus amplitudes are identical when the two amplitudes share the same exponential form factors.…

High Energy Physics - Phenomenology · Physics 2026-02-10 Andrei Poblaguev

We derive exact and closed-form expressions for a large class of two-point and three-point inflation correlators with the tree-level exchange of a single massive particle. The intermediate massive particle is allowed to have arbitrary mass,…

High Energy Physics - Theory · Physics 2023-07-26 Zhehan Qin , Zhong-Zhi Xianyu

The correlation function of two identical pions interacting via Coulomb potential is computed for a general case of anisotropic particle's source of finite life time. The effect of halo is taken into account as an additional particle's…

Nuclear Theory · Physics 2008-11-26 Radoslaw Maj , Stanislaw Mrowczynski