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The mathematical relations between the regular Coulomb function $F_{\eta\ell}(\rho)$ and the irregular Coulomb functions $H^\pm_{\eta\ell}(\rho)$ and $G_{\eta\ell}(\rho)$ are obtained in the complex plane of the variables $\eta$ and $\rho$…

Mathematical Physics · Physics 2018-11-21 David Gaspard

A simple model for the dielectric function of a completely ionized plasma with an arbitrary ionic charge, that is valid for long-wavelength high-frequency perturbations is derived using an approximate solution of a linearized Fokker-Planck…

Plasma Physics · Physics 2014-03-07 H. B. Nersisyan , M. E. Veysman , N. E. Andreev , H. H. Matevosyan

Results on two-particle angular correlations for charged particles emitted in proton-proton collisions at center-of-mass energies of 0.9, 2.36, and 7 TeV are presented, using data collected with the CMS detector over a broad range of…

High Energy Physics - Experiment · Physics 2012-08-27 CMS Collaboration

The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective…

Nuclear Theory · Physics 2008-11-26 U. van Kolck

The neutron-proton effective mass splitting ($\Delta m^*_{np}$) is investigated through analyses of heavy-ion collisions using the improved quantum molecular dynamics (ImQMD) model with both standard and extended Skyrme interactions. By…

Nuclear Theory · Physics 2025-06-24 Junping Yang , Meiqi Sun , Ying Cui , Yangyang Liu , Zhuxia Li , Kai Zhao , Yingxun Zhang

The theory of self-consistent effective interactions in nuclei is extended for a system with a velocity dependent mean potential. By means of the field coupling method, we present a general prescription to derive effective interactions…

Nuclear Theory · Physics 2009-09-25 T. Kubo , H. Sakamoto , T. Kammuri , T. Kishimoto

Motivated by recent suggestions --to split the electron-electron interaction into a short-range part, to be treated within the density functional theory, and a long-range part, to be handled by other techniques-- we compute, with a…

Materials Science · Physics 2009-11-10 Lorenzo Zecca , Paola Gori-Giorgi , Saverio Moroni , Giovanni B. Bachelet

A new effective field theory has been developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. This approach is expected to facilitate many-body calculations and has been demonstrated to…

Nuclear Theory · Physics 2023-09-04 Qingfeng Li , Songlin Lyu , Chen Ji , Bingwei Long

Motivated by the considerable importance of material properties in modern condensed matter physics research, and using techniques of the $N_{e}$ -electron systems in terms of the electron density $n_{\sigma e}\left( r\right) $ needed to…

Materials Science · Physics 2024-07-19 A. Belhaj , S. E. Ennadifi

A brief overview is given of some recent advances in charged-composite particle scattering. On the theoretical side, I address the three-charged particle wave function asymptotics, the nonperturbative investigation of the long-range…

Nuclear Theory · Physics 2007-05-23 Erwin O. Alt

A relativistic version of the effective charge model for computation of observable characteristics of multi-electron atoms and ions is developed. A complete and orthogonal Dirac hydrogen basis set, depending on one parameter -- effective…

Atomic Physics · Physics 2020-07-10 K. Dzikowski , O. D. Skoromnik , I. D. Feranchuk , N. S. Oreshkina , C. H. Keitel

A non-empirical exchange functional based on an interpolation between two limits of electron density: slowly varying limit and asymptotic limit, is proposed. In the slowly varying limit, we follow the study by Kleinman in 1984 which…

Materials Science · Physics 2020-08-04 Teepanis Chachiyo , Hathaithip Chachiyo

Because micro-ions accumulate around highly charged colloidal particles in electrolyte solutions, the relevant parameter to compute their interactions is not the bare charge, but an effective (or renormalized) quantity, whose value is…

Soft Condensed Matter · Physics 2009-11-07 Lyderic Bocquet , Emmanuel Trizac , Miguel Aubouy

A simple approximate expression in real and reciprocal spaces is given for the static exchange-correlation kernel of a uniform electron gas interacting with the long-range part only of the Coulomb interaction. This expression interpolates…

Materials Science · Physics 2009-11-11 Julien Toulouse

Effective interactions that fit the low energy p-$^3$He experimental data have been constructed. They are based on the Resonating Group Method and a modified Orthogonality Condition Model in which Pauli and partly Pauli forbidden states are…

Nuclear Theory · Physics 2007-05-23 S. Gojuki , S. Oryu , S. A. Sofianos

We analyse the Coulomb breakup of 19C measured at 67A MeV at RIKEN. We use the Coulomb-Corrected Eikonal (CCE) approximation to model the reaction and describe the one-neutron halo nucleus 19C within Halo Effective Field Theory (EFT). At…

A technique to deal with Coulomb electron distortions in the analysis of (e,e'p) reactions is presented. Thereby, no approximations are made. The suggested technique relies on a partial-wave expansion of the electron wave functions and a…

Nuclear Theory · Physics 2008-11-26 V. Van der Sluys , K. Heyde , J. Ryckebusch , M. Waroquier

We analyze the energy scale dependence of fragmentation functions from $e^+$-$e^-$ collisions using conventional momentum measures $x_p$ and $\xi_p$ and rapidity $y$. We find that replotting fragmentation functions on a normalized rapidity…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas A. Trainor , David T. Kettler

The production of hard photons in hadronic collisions is studied using Soft-Collinear Effective Theory (SCET). This is the first application of SCET to a physical, observable cross section involving energetic partons in more than two…

High Energy Physics - Phenomenology · Physics 2012-02-10 Thomas Becher , Matthew D. Schwartz

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