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When two transverse-field Ising chains (TFICs) with magnetic order are coupled, the original free excitations become confined, giving rise to meson-like bound states. In this work, we study such bound states systematically. The mesons are…

High Energy Physics - Theory · Physics 2025-07-15 Yunjing Gao , Yunfeng Jiang , Jianda Wu

Bethe-Salpeter approach has been applied to the study of b --> c transitions both for heavy mesons and heavy baryons. Meson and baryon IW functions are calculated on the equal footing. A reasonable agreement with the experimental data for…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Rusetsky , M. A. Ivanov , J. G. Korner , V. E. Lyubovitskij

The exact Bethe-Salpeter amplitude for the fermion-antifermion bound state in the Schwinger Model is investigated. The dependence on the relative time and position in the center-of-mass frame in all contributing instanton sectors is…

High Energy Physics - Theory · Physics 2013-06-26 Tomasz Radozycki

Exploiting an interplay of the Bethe-Salpeter equation enabling us to regard mesons as bound states of quark and antiquark and the Dyson-Schwinger equation controlling the dressed quark propagator, we amend existing studies of quarkonia by…

High Energy Physics - Phenomenology · Physics 2019-06-03 Thomas Hilger , María Gómez-Rocha , Andreas Krassnigg , Wolfgang Lucha

We derive covariant equations for a system of two quarks and two antiquarks where the effect of quark-antiquark annihilation is taken into account. In our approach, only pair-wise interactions are retained, while all possibilities of…

High Energy Physics - Phenomenology · Physics 2014-10-06 A. N. Kvinikhidze , B. Blankleider

While the ground-state tensor ($J^{PC}=2^{++}$) mesons $a_{2}(1320)$, $K_{2}^{\ast}(1430)$, $f_{2}(1270)$, and $f_{2}^{\prime}(1525)$ are well known experimentally and form an almost ideal nonet of quark-antiquark states, their chiral…

High Energy Physics - Phenomenology · Physics 2022-08-31 Shahriyar Jafarzade , Arthur Vereijken , Milena Piotrowska , Francesco Giacosa

Within our description of Goldstone-type pseudoscalar mesons as almost massless bound states of quark and antiquark by a three-dimensional bound-state equation of Bethe-Salpeter origin, taking into account the pointwise behaviour of the…

High Energy Physics - Phenomenology · Physics 2018-03-22 Wolfgang Lucha , Franz F. Schoberl

Within the Bethe-Salpeter formalism for instantaneous interactions, we describe, along a totally analytic route, the lightest pseudoscalar mesons by quark-antiquark bound states which show at least three indispensable general features,…

High Energy Physics - Phenomenology · Physics 2016-03-18 Wolfgang Lucha , Franz F. Schöberl

To study the characteristic features of relativistic bound systems, the Bethe-Salpeter equation (BSE) for two equal mass spin 1/2 particles (like the deuteron) is solved in the cm-frame for a covariant separable interaction kernel. For that…

Nuclear Theory · Physics 2007-05-23 Frieder Kleefeld , Manfred Dillig

In this work we have employed Bethe-Salpeter equation (BSE) under covariant instantaneous ansatz (CIA) to study electromagnetic decays of ground state equal mass vector mesons: $\rho$, $\omega$, $\phi$, $\psi$ and $Y$ through the process…

High Energy Physics - Phenomenology · Physics 2015-06-16 Shashank Bhatnagar , Jorge Mahecha , Yikdem Mengesha

A covariant meson-exchange model of the anti-kaon nucleon interaction within the framework of the Bethe-Salpeter equation is presented. With just one free parameter we are able to get a good description of the available experimental data…

Nuclear Theory · Physics 2007-05-23 A. D. Lahiff

The new method of solution of the Bethe-Salpeter equation for quark-antiquark pseudoscalar bound state is proposed. With the help of integral representation the results are directly obtained in Minkowski space. Dressing of Greens functions…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Sauli

We investigate the structure of the instantaneous Bethe-Salpeter equation for \(q\bar{q}\)-bound states in the general case of unequal quark masses and develop a numerical scheme for the calculation of mass spectra and Bethe-Salpeter…

Nuclear Theory · Physics 2009-10-22 J. Resag , C. R. Münz , B. C. Metsch , H. R. Petry

This is the first of a series of three papers treating light baryon resonances (up to 3 GeV) within a relativistically covariant quark model based on the three-fermion Bethe-Salpeter equation with instantaneous two- and three-body forces.…

High Energy Physics - Phenomenology · Physics 2016-09-06 Ulrich Loering , Klaus Kretzschmar , Bernard Ch. Metsch , Herbert R. Petry

We generalise the framework of Dyson-Schwinger and Bethe-Salpeter equations for four-quark states to accommodate the case of unequal quark masses. As a first application, we consider the quantum numbers $I(J^{PC})=0(1^{++})$ of the…

High Energy Physics - Phenomenology · Physics 2019-08-07 Paul C. Wallbott , Gernot Eichmann , Christian S. Fischer

Using the framework of the Covariant Spectator Theory (CST) [1] we are developing a covariant model formulated in Minkowski space to study mesonic structure and spectra. Treating mesons as effective $q\bar{q}$ states, we focused in [2] on…

High Energy Physics - Phenomenology · Physics 2014-11-18 S. Leitão , A. Stadler , M. T. Peña , E. P. Biernat

In this thesis a model framework for describing baryons as diquark-quark bound states is presented which is formulated in an explicitly covariant manner. The relativistic bound state problem for three quarks is considered. Diquarks are…

Nuclear Theory · Physics 2007-05-23 Martin Oettel

In this work we study the meson properties in the framework of an effective quark model. We start from the Bethe-Salpeter equation choosing the interaction kernel in nonlocal form with the Gaussian meson vertex function, characterized by a…

High Energy Physics - Phenomenology · Physics 2025-12-11 A. Friesen , Yu. Kalinovsky , A. Khmelev

The aim of this text to present the covariant confined quark model (CCQM) and review its applications to the decays of $B$ mesons. We do so in the context of existing experimental measurements and theoretical results of other authors, which…

High Energy Physics - Phenomenology · Physics 2023-09-20 Stanislav Dubnička , Anna Zuzana Dubničková , Mikhail Alekseevich Ivanov , Andrej Liptaj

Inversion enables the construction of interaction potentials underlying - under fortunate circumstances even analytic - instantaneous Bethe-Salpeter descriptions of all lightest pseudoscalar mesons as quark-antiquark bound states of…

High Energy Physics - Phenomenology · Physics 2016-12-06 Wolfgang Lucha