Color-suppression of non-planar diagrams in bosonic bound states

Alvarenga Nogueira, J. H.; Ji, Chueng-Ryong; Ydrefors, E.; Frederico, T.

doi:10.1016/j.physletb.2017.12.032

Title: Color-suppression of non-planar diagrams in bosonic bound states

Journal Article · 15 December 2017 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2017.12.032 · OSTI ID:1413559

^[1]; Ji, Chueng-Ryong ^[2]; Ydrefors, E. ^[3]; Frederico, T. ^[3]

Instituto Tecnológico de Aeronáutica (Brazil); Istituto Nazionale di Astrofisica (INAF), Roma (Italy)
North Carolina State Univ., Raleigh, NC (United States)
Instituto Tecnológico de Aeronáutica (Brazil)

We study the suppression of non-planar diagrams in a scalar QCD model of a meson system in space–time dimensions due to the inclusion of the color degrees of freedom. As a prototype of the color-singlet meson, we consider a flavor-nonsinglet system consisting of a scalar-quark and a scalar-antiquark with equal masses exchanging a scalar-gluon of a different mass, which is investigated within the framework of the homogeneous Bethe–Salpeter equation. The equation is solved by using the Nakanishi representation for the manifestly covariant bound-state amplitude and its light-front projection. The resulting non-singular integral equation is solved numerically. The damping of the impact of the cross-ladder kernel on the binding energies are studied in detail. The color-suppression of the cross-ladder effects on the light-front wave function and the elastic electromagnetic form factor are also discussed. As our results show, the suppression appears significantly large for , which supports the use of rainbow-ladder truncations in practical non-perturbative calculations within QCD.

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Research Organization:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-03ER41260

OSTI ID:: 1413559

Alternate ID(s):: OSTI ID: 1499277

Journal Information:: Physics Letters B, Vol. 777, Issue C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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Cited By (1)

Relativistic Studies of Few-Body Systems Using the Bethe–Salpeter Approach Nogueira, J. H. Alvarenga; Ydrefors, E.; Frederico, T. Few-Body Systems, Vol. 59, Issue 5 https://doi.org/10.1007/s00601-018-1418-3	journal	June 2018