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Recently, an instantaneous approximation to the Bethe-Salpeter formalism for the analysis of bound states in quantum field theory has been proposed which retains, in contrast to the Salpeter equation, as far as possible the exact…

High Energy Physics - Phenomenology · Physics 2009-11-11 Z. -F. Li , Wolfgang Lucha , F. F. Schoberl

In the framework of relativistic quantum field theory, the solution of homogeneous Bethe-Salpeter equation for two-body bound state can not describe unstable system, so we develop Bethe-Salpeter theory to investigate resonance which is…

High Energy Physics - Phenomenology · Physics 2023-10-20 Xiaozhao Chen , Xiaofu Lü

We use quantum electrodynamics and the Bethe-Salpeter equation to calculate the bound state energies for a two-particle system comprised of a spin-0 and spin-1/2 particle. We generalize our treatment to include the finite size of the…

Atomic Physics · Physics 2015-05-27 David Owen , Roger Barrett

A novel method for constructing a Bethe-Salpeter kernel for the meson bound-state problem is described. It produces a closed-form kernel that is symmetry-consistent (discrete and continuous) with the gap equation defined by any admissible…

High Energy Physics - Phenomenology · Physics 2021-08-11 Si-Xue Qin , Craig D. Roberts

We solve the Bethe-Salpeter equation in order to determine the spectrum of pseudoscalar and vector meson bound states for light as well as heavy quarks. The fermion propagators are obtained by solving the Schwinger-Dyson equation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pankaj Jain , Herman J. Munczek

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

In view of the obstacles encountered in any attempts to solve the Minkowski-space Bethe-Salpeter equation for bound states of two fermions, we study the possibility to model the bound-state features, at least at a qualitative level, by a…

Mathematical Physics · Physics 2014-09-17 Richard L. Hall , Wolfgang Lucha

We present a unified picture of mesons and baryons in the Dyson-Schwinger/Bethe-Salpeter approach, wherein the quark-gluon and quark-(anti)quark interaction follow from a systematic truncation of the QCD effective action and includes all…

High Energy Physics - Phenomenology · Physics 2015-09-08 Helios Sanchis-Alepuz , Richard Williams

A perspective on the contemporary use of Dyson-Schwinger equations, focusing on some recent phenomenological applications: a description and unification of light-meson observables using a one-parameter model of the effective quark-quark…

Nuclear Theory · Physics 2007-05-23 M. B. Hecht , C. D. Roberts , S. M. Schmidt

We provide a glimpse of recent progress in hadron physics made using QCD's Dyson-Schwinger equations, reviewing: the notion of in-hadron condensates and a putative solution of a gross problem with the cosmological constant; the dynamical…

Nuclear Theory · Physics 2015-05-27 L. Chang , I. C. Cloet , C. D. Roberts , H. L. L. Roberts

A systematic method of analysing Bethe-Salpeter equation using spectral representation for the relativistic bound state wave function is given. This has been explicitly applied in the context of perturbative QCD with string tension in the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ramesh Anishetty , Santosh Kumar Kudtarkar

In a covariant model where constituent quarks and diquarks interact through quark exchange, the Bethe-Salpeter equation in ladder approximation for octet and decuplet baryons is solved. Quark and diquark confinement is thereby effectively…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Hellstern , M. Oettel , R. Alkofer , H. Reinhardt

We present a calculation of the three-quark core contribution to nucleon and Delta-baryon masses and Delta electromagnetic form factors in a Poincare-covariant Faddeev approach. A consistent setup for the dressed-quark propagator, the…

High Energy Physics - Phenomenology · Physics 2011-03-21 D. Nicmorus , G. Eichmann , A. Krassnigg , R. Alkofer

The Bethe-Salpeter equation for a pseudoscalar bound-system, with i) a ladder kernel with massive gluons, ii) dynamically-dressed quark mass function and iii) an extended quark-gluon vertex, is solved in Minkowski space by using the…

High Energy Physics - Phenomenology · Physics 2023-05-23 A. Castro , W. de Paula , E. Ydrefors , T. Frederico , G. Salme

In this work, we systematically study the $D\bar{D}^*$/$B\bar{B}^*$ and $DD^*$/$\bar{B}\bar{B}^*$ systems with the Bethe-Salpeter equation in the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation…

High Energy Physics - Phenomenology · Physics 2022-06-01 Meng-Jie Zhao , Zhen-Yang Wang , Chao Wang , Xin-Heng Guo

We study hadronic decays of mesons and baryons in the context of the Dyson-Schwinger equations of QCD. Starting from a well-established effective interaction in rainbow-ladder truncation, we consistently calculate all ingredients of the…

High Energy Physics - Phenomenology · Physics 2011-09-07 Valentin Mader , Gernot Eichmann , Martina Blank , Andreas Krassnigg

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

A formalism for studying heavy quarks in terms of model Dyson-Schwinger equations is developed. The formalism is the natural extension of a technique which has proved successful in a number of studies of light hadron physics. The dressed…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. J. Burden , D. -S. Liu

Five different versions of the three-dimensional (3D) reduction of the Bethe-Salpeter (BS) equation in the instantaneous approximation for kernel of BS equation for the two-fermion systems are formulated. The normalization condition for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Kopaleishvili

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