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Related papers: Regge behaviour within the Bethe-Salpeter approach

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We extend the calculation of relativistic bound-states of a fermion anti-fermion pair in the Bethe-Salpeter formalism to the case of total angular momentum $J=3$. Together with results for $J \le 2$ this allows for the investigation of…

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

We extend the range of application of the relativistic Dyson-Schwinger/Bethe-Salpeter approach from previously discussed mesons with total angular momentum $J \le 3$ to the ones with $J=4,5$. On a technical level, the new element is the…

High Energy Physics - Phenomenology · Physics 2025-11-03 Stephan Hagel , Christian S. Fischer , Markus Q. Huber , Jonathan Y. Yigzaw

We compute the heavy-heavy, light-light and light-heavy quarkonium spectrum starting from a first principle Salpeter equation obtained in a preceding paper. We neglect spin-orbit structures and exclude from our treatment the light…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Baldicchi , G. M. Prosperi

Starting from a first principle Salpeter equation we computed the heavy-heavy, light-light and heavy-light quarkonium spectrum and the ground light-light Regge trajectories. We neglect spin-orbit structures and exclude from our treatment…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Baldicchi , G. M. Prosperi

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

Starting from a path integral representation of appropriate 4-point and 2-point gauge invariant Green functions and from the "Modified Area Law" model for the evaluation of the Wilson loop, a q \bar q Bethe-Salpeter like equation and a…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. M. Prosperi

Following up on earlier work, we investigate possible effects of a dressed quark-gluon vertex in heavy-light mesons. In particular, we study corrections to the popular rainbow-ladder truncation of the Dyson-Schwinger-Bethe-Salpeter equation…

High Energy Physics - Phenomenology · Physics 2015-09-02 Maria Gomez-Rocha , Thomas Hilger , Andreas Krassnigg

We review in detail modern numerical methods used in the determination and solution of Bethe-Salpeter and Dyson--Schwinger equations. The algorithms and techniques described are applicable to both the rainbow-ladder truncation and its…

High Energy Physics - Phenomenology · Physics 2018-06-26 Helios Sanchis-Alepuz , Richard Williams

We investigate capabilities of the effective interaction in a rainbow-ladder truncated meson model of QCD within a covariant Landau-gauge Bethe-Salpeter-equation approach. Based upon past success for the light- as well as heavy-quark…

High Energy Physics - Phenomenology · Physics 2015-09-02 Carina Popovici , Thomas Hilger , Maria Gomez-Rocha , Andreas Krassnigg

Under the assumption that both light and heavy quarkonia populate approximately linear Regge trajectories with the requirements of additivity of intercepts and inverse slopes, the masses of different meson multiplets are estimated. The…

High Energy Physics - Phenomenology · Physics 2011-09-13 De-Min Li , Bing Ma , Yu-Xiao Li , Qian-Kai Yao , Hong Yu

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

We investigate masses of light mesons from a coupled system of Dyson--Schwinger (DSE) and Bethe--Salpeter equations (BSE), taking into account dominant non-Abelian, sub-leading Abelian, and dominant pion cloud contributions to the dressed…

High Energy Physics - Phenomenology · Physics 2009-12-21 Richard Williams , Christian S. Fischer

By using the Dyson-Schwinger/Bethe-Salpeter formalism in Euclidean spacetime, we calculate the ground state spectrum of $J\leq 1$ hadrons in an SU(2) gauge theory with 2 fundamental fermions. We show that the rainbow-ladder truncation,…

High Energy Physics - Phenomenology · Physics 2015-04-27 Milan Vujinovic , Richard Williams

Mass spectra of heavy baryons are calculated in the heavy-quark--light-diquark picture in the framework of the QCD-motivated relativistic quark model. The dynamics of light quarks in the diquark as well as the dynamics of the heavy quark…

High Energy Physics - Phenomenology · Physics 2011-08-09 D. Ebert , R. N. Faustov , V. O. Galkin

The variational einbein field method is applied to the model of the QCD string with quarks at the ends for the case of light-light and heavy-light mesons. Special attention is payed to the proper string dynamics. The correct string slope of…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Nefediev

We investigate the masses of light mesons from a coupled system of Dyson-Schwinger and Bethe-Salpeter equations. The dominant non-Abelian and sub-leading Abelian contributions to the dressed quark-gluon vertex are explicitly taken into…

High Energy Physics - Phenomenology · Physics 2012-06-25 Richard Williams

The combined Dyson-Schwinger and Bethe-Salpeter equations in rainbow-ladder approximation are used to search for Regge trajectories of mesons in the pseudo-scalar and vector channels. We focus on the often employed Alkofer-Watson-Weigel…

High Energy Physics - Phenomenology · Physics 2020-05-25 R. Greifenhagen , B. Kämpfer , L. P. Kaptari

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless.…

Nuclear Theory · Physics 2010-03-04 A. Bender , C. D. Roberts , L. v. Smekal

Masses of the ground, orbitally and radially excited states of quark-antiquark mesons composed from the light (u,d,s) quarks are calculated within the framework of the relativistic quark model based on the quasipotential approach. The…

High Energy Physics - Phenomenology · Physics 2009-07-09 D. Ebert , R. N. Faustov , V. O. Galkin

Masses of the ground, orbitally and radially excited states of heavy-light mesons are calculated within the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. Both light (q=u,d,s) and heavy (Q=c,b)…

High Energy Physics - Phenomenology · Physics 2010-05-12 D. Ebert , R. N. Faustov , V. O. Galkin
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