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SU(6) extension of the Weinberg-Tomozawa meson-baryon Lagrangian

2005/05/31 by C. García-Recio, C. Garcia-Recio, J. Nieves +1 · 6 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.74.034025

published as Phys.Rev. D74 (2006) 034025 · 5 pages, REVTex, 1 Figure, discussion and references added

arxiv created 2006/05/11 · openalex publication_date 2006/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A consistent SU(6) extension of the Weinberg-Tomozawa meson-baryon chiral Lagrangian is constructed which incorporates vector meson and baryon decuplet degrees of freedom. The corresponding Bethe-Salpeter approximation predicts the existence of an isoscalar spin-parity \frac3^\ensuremath-2 K*N bound state (strangeness +1) with a mass around 1.7--1.8 GeV. It is the highest hypercharge state of an antidecuplet SU(3) representation and it is unstable through K* decay. The estimated width of this state (neglecting d-wave KN decay) turns out to be small (\ensuremathΓ\ensuremath≤15 MeV). Clear signals of this resonance would be found in reactions like \ensuremathγp\ensuremath→K0pK+\ensuremathπ^\ensuremath- by looking at the three body pK+\ensuremathπ^\ensuremath- invariant mass.

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