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Related papers: Regge behaviour within the Bethe-Salpeter approach

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We revisit the model of mesons as rotating strings with massive endpoints and confront it with meson spectra. We look at Regge trajectories both in the (J,M2) and (n,M2) planes, where J and n are the angular momentum and radial excitation…

High Energy Physics - Phenomenology · Physics 2014-08-07 Jacob Sonnenschein , Dorin Weissman

We present the analysis of Ref.[1] of the radial (n) and angular-momentum (J) Regge trajectories for all light-quark meson states listed in the Particle Data Tables. The parameters of the trajectories are obtained with linear regression,…

High Energy Physics - Phenomenology · Physics 2017-08-23 P. Masjuan , E. R. Arriola , W. Broniowski

The spectra of heavy quarkonia are studied in two approaches: with the use of the Afonin-Pusenkov representation of the Regge trajectory for the squared excitation energy $E^2(nl)$ (ERT), and using the relativistic Hamiltonian with the…

High Energy Physics - Phenomenology · Physics 2019-10-02 A. M. Badalian B. L. G. Bakker

In these proceedings we present a mini-review on the topic of the Dyson-Schwinger/Bethe-Salpeter approach to the study of relativistic bound-states in physics. In particular, we present a self-contained discussion of their derivation, as…

High Energy Physics - Phenomenology · Physics 2015-09-02 Helios Sanchis-Alepuz , Richard Williams

We investigate the light quarkonium spectrum using a covariant Dyson-Schwinger-Bethe-Salpeter-equation approach to QCD. We discuss splittings among as well as orbital angular momentum properties of various states in detail and analyze…

High Energy Physics - Phenomenology · Physics 2017-09-27 T. Hilger , M. Gomez-Rocha , A. Krassnigg

The spectra and electroweak decay properties of light mesons are analyzed within the framework of the instantaneous Bethe-Salpeter equation. The interaction kernel comprises alternative spin-structures for a parameterization of confinement…

Nuclear Theory · Physics 2011-07-19 C. R. Münz , J. Resag , B. C. Metsch , H. R. Petry

We present the results of a covariant constituent quark model, based on the Bethe-Salpeter equation, where confinement is implemented by a string like linear potential explaining the Regge trajectories. An instanton induced quark force…

High Energy Physics - Phenomenology · Physics 2011-04-20 B. C. Metsch , H. R. Petry

Two newly proposed Regge trajectory relations are employed to analyze the heavy-light systems. One of the relations is $M=m_1+m_2+C'+\beta_x\sqrt{x+c_{0x}}$, $(x=l,\,n_r)$. Another reads…

High Energy Physics - Phenomenology · Physics 2024-04-05 Jiao-Kai Chen

In this work we calculate the mass spectrum and decay constants of ground and excited states of heavy-light $P$-wave mesons such as $1^{++}$ and $1^{+-}$, with quark composition, $c\overline{u}, c\overline{s}, b\overline{u}, b\overline{s}$,…

High Energy Physics - Phenomenology · Physics 2021-08-18 Vaishali Guleria , Shashank Bhatnagar

The electromagnetic interaction with quarks is investigated through a relativistic, electromagnetic gauge-invariant treatment. Gluon dressing of the quark-photon vertex and the quark self-energy functions is described by the inhomogeneous…

Nuclear Theory · Physics 2009-09-25 Michael R. Frank

We study the Regge-like spectra of light mesons in a relativized quark model. An analytical mass formula is presented for the light unflavored mesons with the help of auxiliary field method, by which a quasi-linear Regge-Chew-Frautschi plot…

High Energy Physics - Phenomenology · Physics 2017-11-21 Duojie Jia , Cheng-Qun Pang , Atsushi Hosaka

We study the heavy-light mesons in a relativistic model, which is derived from the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation on the heavy quark. The kernel we choose is based on scalar confining…

High Energy Physics - Phenomenology · Physics 2016-05-10 Jing-Bin Liu , Mao-Zhi Yang

We attempt to apply the Regge trajectory approach to the doubly heavy triquarks $((Qq)\bar{Q}^{\prime})$ $(Q,\,Q'=b,\,c; q=u,\,d,\,s)$. We propose the Regge trajectory relations for the doubly heavy triquarks, and then employ them to…

High Energy Physics - Phenomenology · Physics 2026-02-20 Xin-Ru Liu , Qi Liu , He Song , Jiao-Kai Chen

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 the Regge phenomenology, the radial spectrum of light mesons is given by a linear relation $M_n^2=a(n+b)$, where $a$ is a universal slope, the dimensionless intercept $b$ depends on quantum numbers, and $n$ enumerates the excited states…

High Energy Physics - Phenomenology · Physics 2016-11-23 S. S. Afonin , I. V. Pusenkov

We discuss the light baryon spectrum obtained from a recent quark-diquark calculation, implementing non-pointlike diquarks that are self-consistently calculated from their Bethe-Salpeter equations. We examine the orbital angular momentum…

High Energy Physics - Phenomenology · Physics 2017-03-08 Gernot Eichmann

We propose a holographic model for quarkonia using the WKB approximation with the Langer correction to properly reproduce nonlinear Regge trajectories of the form $m_n^2 = \beta (n + c_0)^{2/3} + c_1$. This form is expected from previous…

High Energy Physics - Phenomenology · Physics 2025-12-24 Nelson R. F. Braga , Yan F. Ferreira

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

Prima facie the systematic implementation of corrections to the rainbow-ladder truncation of QCD's Dyson-Schwinger equations will uniformly reduce in magnitude those calculated mass-dimensioned results for pseudoscalar and vector meson…

Nuclear Theory · Physics 2008-11-26 G. Eichmann , R. Alkofer , I. C. Cloet , A. Krassnigg , C. 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