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We review studies of inelastic meson-meson scattering. In nonperturbative schemes with chiral-perturbation-theory Lagrangians and in models based on effective meson Lagrangians, inelastic meson-meson scattering leads to the successful…

High Energy Physics - Phenomenology · Physics 2020-09-03 Xiao-Ming Xu , H. J. Weber

We study forward and backward pi-pi scattering within a QCD model based on the Dyson--Schwinger, Bethe--Salpeter equations truncated to the rainbow-ladder level. Our microscopic relativistic quark formulation preserves chiral symmetry and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stephen R. Cotanch , Pieter Maris

The matter density distribution inside a hadron is evaluated using gauge-invariant correlation functions within the quenched and the unquenched theory. Comparison with the charge density distribution suggests that hadron deformation is a…

High Energy Physics - Lattice · Physics 2009-11-10 C. Alexandrou , Ph. de Forcrand , A. Tsapalis

In classical field theory, radiation does not reflect off of reflectionless kinks. In quantum field theory, radiation quanta, called mesons, can be reflected. We provide a general analytical formula for the leading order amplitude and…

High Energy Physics - Theory · Physics 2023-11-27 Jarah Evslin , Hui Liu

We provide a brief review of recent progress in the study of mesons using QCD's Dyson-Schwinger equations. Along the way we touch on aspects of confinement and dynamical chiral symmetry breaking but in the main focus upon: exact results for…

Nuclear Theory · Physics 2011-11-23 Lei Chang , Craig D. Roberts , Peter C. Tandy

We review the unitarization of Chiral Perturbation Theory with dispersion relations and how it describes meson-meson scattering data, generating light resonances whose mass, width and nature can be related to QCD parameters like quark…

High Energy Physics - Phenomenology · Physics 2019-08-12 J. R. Pelaez , J. Nebreda , G. Rios

We studied meson-meson interactions using the 't Hooft model, which represents QCD in 1+1 dimensions and assumes a large number of colors ($N_c$). The dominant interactions in this large $N_c$ limit are generated by quark exchange. Our…

Nuclear Theory · Physics 2009-11-10 Z. Batiz , M. T. Pena , A. Stadler

The results of a model for meson-meson scattering are studied. The model is shown to be capable of on the one hand reproducing the scattering data, while on the other hand a quark-antiquark confinement spectrum can be determined. It is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eef van Beveren , George Rupp

Mesons as bound states of quark and anti-quark in the framework of a relativistic potential model are studied. Interaction of constituents in bound state is described by the Lorentz-scalar QCD inspired funnel-type potential with the…

High Energy Physics - Phenomenology · Physics 2017-04-18 Mikhail N. Sergeenko

The model of induced quark currents formulated in our recent paper (Phys. Rev. D51, 176) is developed. The model being a kind of nonlocal extension of the bosonization procedure is based on the hypothesis that the QCD vacuum is realized by…

High Energy Physics - Phenomenology · Physics 2011-07-19 Ja. V. Burdanov , G. V. Efimov , S. N. Nedelko , S. A. Solunin

Dispersion approach based on the constituent quark picture and its applications to weak decays of heavy mesons are reviewed. Meson interaction amplitudes are represented within this approach as relativistic spectral integrals over the mass…

High Energy Physics - Phenomenology · Physics 2012-03-20 Dmitri Melikhov

In this paper we study meson scattering in a non-minimally Lorentz-violating scalar QED at finite temperature. The meson scatterings were investigated in tree level and the finite temperature effects were addressed by using the thermofield…

High Energy Physics - Theory · Physics 2024-06-26 M. C. Araújo , R. V. Maluf , J. Furtado

Scattering phase shifts of a meson-meson system in staggered 3-dimensional lattice QED are computed. The main task of the simulation is to obtain a discrete set of two-body energy levels. These are extracted from a 4-point time correlation…

High Energy Physics - Lattice · Physics 2009-10-22 H. R. Fiebig , R. M. Woloshyn

We investigate the nucleon-nucleon interaction by using the meson exchange model and the two body Dirac equations of constraint dynamics. This approach to the two body problem has been successfully tested for QED and QCD relativistic bound…

Nuclear Theory · Physics 2009-11-07 Bin Liu , Horace Crater

The Two-Body Dirac equations of constraint theory are of special interest not only in view of applications for phenomenological calculations of mesonic spectra but also because they avoid no-go theorems about relativistic interactions.…

Quantum Physics · Physics 2015-07-29 Matthias Lienert

Smooth transitions from hadronic matter to hot and dense matter of quantum chromodynamics accompany continuous transformations in effective degrees of freedom. The microscopic descriptions should include relativistic quarks interacting…

High Energy Physics - Phenomenology · Physics 2022-08-30 Toru Kojo , Daiki Suenaga

Within the framework of the instantaneous Bethe-Salpeter equation, we present a detailed analysis of light meson spectra with respect to various parameterizations of confinement in Dirac space. Assuming a linearly rising quark-antiquark…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ralf Ricken , Matthias Koll , Dirk Merten , Bernard Ch. Metsch , Herbert R. Petry

We present our recent progress on the relativistic modeling of electron-nucleus reactions and compare our predictions with inclusive $^{12}$C ($e,e'$) experimental data in a wide kinematical region. The model, originally based on the…

Nuclear Theory · Physics 2016-07-29 G. D. Megias , J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly

In this work, an unquenched quark model is proposed for describing the heavy-light mesons by taking into account the coupled-channel effects induced by chiral dynamics. After including a relativistic correction term for the strong…

High Energy Physics - Phenomenology · Physics 2023-12-11 Ru-Hui Ni , Jia-Jun Wu , Xian-Hui Zhong

Dirac, Fock, and Podolsky [Ref. 1] devised a relativistic model in 1932 in which a fixed number of $N$ Dirac electrons interact through a second-quantized electromagnetic field. It is formulated with the help of a multi-time wave function…

Mathematical Physics · Physics 2019-09-04 Dirk-André Deckert , Lukas Nickel