Baryon-baryon bound states in a (2+1)-dimensional lattice QCD model

Paulo A. Faria da Veiga, Michael O’Carroll, and Ricardo Schor
Phys. Rev. D 68, 037501 – Published 25 August 2003
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Abstract

We consider bound states of two baryons (antibaryons) in lattice QCD in a Euclidean formulation. For simplicity, we analyze an SU(3) theory with a single flavor in 2+1 dimensions and two-dimensional Dirac matrices. For a small hopping parameter 0<κ1 and large glueball mass, we recently showed the existence of a (anti)baryonlike particle, with an asymptotic mass of the order of 3lnκ and with an isolated dispersion curve, i.e., an upper gap property persisting up to near the meson-baryon threshold, which is of order 5lnκ. Here, we show that there is no baryon-baryon (or antibaryon-antibaryon) bound state solution to the Bethe-Salpeter equation up to the two-baryon threshold, which is approximately 6lnκ.

  • Received 14 May 2003

DOI:https://doi.org/10.1103/PhysRevD.68.037501

©2003 American Physical Society

Authors & Affiliations

Paulo A. Faria da Veiga* and Michael O’Carroll

  • Departamento de Matemática, ICMC-USP, C. P. 668, 13560-970 São Carlos, SP, Brazil

Ricardo Schor

  • Departamento de Física-ICEx, UFMG, C. P. 702, 30161-970 Belo Horizonte, MG, Brazil

  • *Electronic address: veiga@icmc.usp.br
  • Electronic address: ocarroll@icmc.usp.br
  • Electronic address: rsschor@fisica.ufmg.br

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Issue

Vol. 68, Iss. 3 — 1 August 2003

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