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As an application of the Covariant Spectator Theory (CST) we calculate the spectrum of heavy-light and heavy-heavy mesons using covariant versions of a linear confining potential, a one- gluon exchange, and a constant interaction. The CST…

High Energy Physics - Phenomenology · Physics 2017-03-01 Sofia Leitão , Alfred Stadler , M. T. Peña , E. P. Biernat

We use the Bethe-Salpeter equation in rainbow-ladder truncation to calculate the ground state mesons from the chiral limit to bottomonium, with an effective interaction that was previously fitted to the chiral condensate and pion decay…

Nuclear Theory · Physics 2008-11-26 P. Maris

A bound state problem in a topologically massive quantum electrodynamics is investigated by using a non-perturbative method. We formulate the Bethe- Salpeter equation for scalar bound states composed of massive fermion and anti-fermion pair…

High Energy Physics - Theory · Physics 2009-11-07 Toyoki Matsuyama , Hideko Nagahiro

The two-fermion bound system is an attractive subject of atomic and sub-atomic physics. Despite these systems are rather simple the study of two-particle bound states is challenging and still remains a source of progress in quantum theory.…

Nuclear Theory · Physics 2007-05-23 S. M. Dorkin , S. S. Semikh , M. Beyer , L. P. Kaptari

In this work, we systematically investigate the two-pseudoscalar meson systems with the Bethe-Salpeter equation in the ladder and instantaneous approximations. By solving the Bethe-Salpeter equation numerically with the kernel containing…

High Energy Physics - Phenomenology · Physics 2022-12-14 Zi-Long Li , Xing-Yue Tan , Zhu-Feng Zhang , Zhen-Yang Wang , Xin-Heng Guo

We investigate the properties of mesons with the exotic J^PC = 1^-+ quantum numbers. Starting out from the light-quark domain, where the \pi_1 states are used as references, we predict the masses of analogous quarkonia for c\bar{c} and…

High Energy Physics - Phenomenology · Physics 2015-06-04 T. Hilger , M. Gomez-Rocha , A. Krassnigg

Two different methods of the covariant relativistic separable kernel construction in the Bethe-Salpeter approach are considered. One of them leads in the center-of-mass system of two particles to the quasipotential equation. The constructed…

Nuclear Theory · Physics 2009-01-07 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya , Y. Yanev

We treat baryons as bound states of scalar or axialvector diquarks and a constituent quark which interact through quark exchange. This description results as an approximation to the relativistic Faddeev equation for three quarks which…

Nuclear Theory · Physics 2009-10-31 M. Oettel , S. Ahlig , R. Alkofer , C. Fischer

We treat baryons as bound states of scalar or axialvector diquarks and a constituent quark which interact through quark exchange. We obtain fully four-dimensional wave functions for both octet and decuplet baryons as solutions of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , S. Ahlig , C. Fischer , M. Oettel , H. Reinhardt

Starting from the bi-local Klein-Gordon Equation with spin-independent squared-mass operator, we give a covariant quark representation of general composite meson systems with definite Lorentz transformation properties. For benefit of this…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shin Ishida , Muneyuki Ishida , Tomohito Maeda

Non-perturbative proof is presented of a unique version of Goldstone theorem, that electromagnetism contributes to the masses of spinless particles of quark-antiquark bound states in the form of a commutator of the quark electric matrix and…

High Energy Physics - Phenomenology · Physics 2014-03-14 R. Ling , B. L. Lee , H. S. Zong , J. L. Ping

The Bethe-Salpeter equation for two-body bound system with spin $1/2$ constituent is addressed directly in the Minkowski space. In order to accomplish this aim we use the Nakanishi integral representation of the Bethe-Salpeter amplitude and…

High Energy Physics - Phenomenology · Physics 2017-11-06 W. de Paula , T. Frederico , G. Salmè , M. Viviani , R. Pimentel

We present a calculation of the spectrum of charmonia, bottomonia and B_c-meson states with `ordinary' and exotic quantum numbers. We discuss the merits and limitations of a rainbow-ladder truncation of Dyson-Schwinger and Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2015-06-22 Christian S. Fischer , Stanislav Kubrak , Richard Williams

In a covariant Bethe-Salpeter-equation approach and with a rainbow-ladder truncated model of QCD, we investigate the use of an effective interaction with the goal of reproducing QCD phenomenology. We extend previous studies and present…

High Energy Physics - Phenomenology · Physics 2015-03-05 Thomas Hilger , Carina Popovici , Maria Gomez-Rocha , Andreas Krassnigg

The ${q}\bar{q}$ spectrum is studied within a chiral constituent quark model. It provides with a good fit of the available experimental data from light (vector and pseudoscalar) to heavy mesons. The new $D$ states measured at different…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Vijande , F. Fernandez , A. Valcarce

The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum dependent masses of the constituents. This dependence is found by solving the…

Nuclear Theory · Physics 2010-12-27 S. M. Dorkin , T. Hilger , B. Kaempfer , L. P. Kaptari

In this paper we construct a covariant light-front model of heavy mesons within the framework of heavy quark effective theory (HQET). The covariant model consists of the light-front heavy meson bound states constructed in the heavy quark…

High Energy Physics - Phenomenology · Physics 2011-07-19 Hai-Yang Cheng , Chi-Yee Cheung , Chien-Wen Hwang , Wei-Min Zhang

Light meson spectra are studied in a Dyson-Schwinger/Bethe-Salpeter approach to QCD. By varying the interaction strength of three sets of models for the quark-antiquark interaction, the transition from the chiral symmetric to the chirally…

High Energy Physics - Phenomenology · Physics 2026-05-05 Reinhard Alkofer , Christian S. Fischer , Fabian Zierler

The Bethe-Salpeter equation provides the most widely used technique to extract bound states and resonances in a relativistic Quantum Field Theory. Nevertheless a thorough discussion how to identify its solutions with physical states is…

High Energy Physics - Theory · Physics 2009-10-31 S. Ahlig , R. Alkofer

In theoretical hadron physics mesons are a center of attention. Constructed in a simpler way than baryons in the quark model, they still present a considerable challenge if one aims at an understanding of all their aspects in terms of…

Nuclear Theory · Physics 2009-06-25 A. Krassnigg