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We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The…

Atomic Physics · Physics 2009-11-13 Christian Hainzl , Mathieu Lewin , Eric Sere , Jan Philip Solovej

Nonrelativistic systems exhibiting collective magnetic behavior are analyzed in the framework of effective Lagrangians. The method, formulating the dynamics in terms of Goldstone bosons, allows to investigate the consequences of spontaneous…

Condensed Matter · Physics 2009-10-31 Christoph P. Hofmann

In the framework of the non relativistic quark model, an exhaustive study of radiative transitions in mesons is performed. The emphasis is put on several points. Some traditional approximations (long wave length limit, non relativistic…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. Bonnaz , B. Silvestre-Brac , C. Gignoux

We study meson-meson scattering in a soluble model which describes asymptotically free mesons and confined quark-antiquark pairs via coupled channels. Concretely, the two scattered mesons are assumed to interact through s-channel…

High Energy Physics - Phenomenology · Physics 2011-06-07 K. P. Khemchandani , Eef van Beveren , George Rupp

In line with some previous works, we study in this paper the meson spectrum in the framework of a second order quark-antiquark Bethe-Salpeter formalism which includes confinement. An analytic one loop running coupling constant alpha_s(Q),…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Baldicchi , G. M. Prosperi

Pion-loop corrections for Compton scattering are calculated in a novel approach based on the use of dispersion relations in a formalism obeying unitarity. The basic framework is presented, including an application to Compton scattering. In…

Nuclear Theory · Physics 2009-11-06 S. Kondratyuk , O. Scholten

The spectral density of euclidean Dirac operator is investigated in partially quenched QCD with arbitrary quark masses. A representation of scalar and pseudoscalar correlators in terms of the spectral density is discussed. The spectral…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Zyablyuk

By a reformulation of the loop expansion in the Resonance-Spectrum-Expansion amplitude for meson-meson scattering, in terms of s-channel exchange of families of propagator modes, we obtain a formalism which allows for a wider range of…

High Energy Physics - Phenomenology · Physics 2009-11-18 Eef van Beveren , George Rupp

Dispersion relations for the scattering of hadrons are considered within the framework of Quantum Chromodynamics. It is argued that the original methods of proof remain applicable. The setting and the spectral conditions are provided by an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Oehme

We show that technique of Dyson equation in wave multiple scattering by spatially disordered discrete medium statistical theory leads directly to a dielectric permittivity tensor, which is characterized by spatial dispersion and obeys the…

Disordered Systems and Neural Networks · Physics 2010-09-27 Yu. N. Barabanenkov , M. Yu. Barabanenkov , S. A. Nikitov

The question how to Lorentz transform an N-particle wave function naturally leads to the concept of a so-called multi-time wave function, i.e. a map from (space-time)^N to a spin space. This concept was originally proposed by Dirac as the…

Mathematical Physics · Physics 2015-04-10 Matthias Lienert

Corrections to meson/ground-state baryon scattering amplitudes in the 1/N_c expansion of QCD have previously been shown to be controlled by the t-channel difference |I_t - J_t| of isospin and angular momentum and by the change of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Herry J. Kwee , Richard F. Lebed

We investigate wavepacket dynamics across supercritical barriers for the Klein-Gordon and Dirac equations. Our treatment is based on a multiple scattering expansion (MSE). For spin-0 particles, the MSE diverges, rendering invalid the use of…

Quantum Physics · Physics 2021-04-14 M. Alkhateeb , X. Gutierrez de la Cal , M. Pons , D. Sokolovski , A. Matzkin

This thesis has been devoted to the study of different properties of hadrons with one and two heavy quarks $c$ and/or $b$. All calculations have been done in the framework of a nonrelativistic constituent quark model. In order to check the…

High Energy Physics - Phenomenology · Physics 2007-10-10 J. M. Verde-Velasco

The quark dynamics inside light mesons, except pseudoscalar ones, can be quite well described by a spinless Salpeter equation supplemented by a Cornell interaction (possibly partly vector, partly scalar). A mass formula for these mesons can…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Brau , C. Semay

An approach to the description of subdynamics inside non-relativistic quantum field theory is presented, in which the notions of relevant observable, time scale and complete positivity of the time evolution are stressed. A scattering theory…

Quantum Physics · Physics 2009-11-07 Ludovico Lanz , Bassano Vacchini

We present new results of a relativistic quark model based on the Bethe-Salpeter equation in its instantaneous approximation. Assuming a linearly rising confinement potential with an appropriate spinorial structure in Dirac space and…

High Energy Physics - Phenomenology · Physics 2011-07-19 Matthias Koll , Ralf Ricken , Dirk Merten , Bernard Metsch , Herbert Petry

We discuss the behaviour of the spectral density of the massless Dirac operator at the small eigenvalues and quark masses compatible with the restrictions imposed by the low energy theorems in QCD. Sum rule for its derivative over the quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gorsky

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

This paper investigates how the nonzero temperature affects the differential cross-section for mesons scattering in a Lorentz-violating extension of the scalar electrodynamics. We initially discuss some features of the model and extract the…

High Energy Physics - Phenomenology · Physics 2022-08-09 M. C. Araújo , R. V. Maluf