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A model realisation of the Jaffe-Wilczek correlation for pentaquarks

2004/03/22 by Jo Dudek, J. J. Dudek, Dudek, J. J. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0403235

10 pages, uses psfrag

arxiv created 2004/03/22 · openalex publication_date 2004/03/22 · arxiv updated 2015/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a realisation of the pentaquark structure proposed by Jaffe and Wilczek within a simple quark model with colour-spin contact interactions and coloured harmonic confinement, which accurately describes the Δ-N splitting. In this model spatially compact diquarks are formed in the pentaquark but no such compact object exists in the nucleon. The colour-spin attraction brings the Jaffe-Wilczek-like state down to a low mass, compatible with the experimental observation and below that of the naive ground state with all S-waves. We find, however, that although these trends are maintained, the extreme effects observed do not survive the required ``smearing'' of the delta function contact interaction. We also demonstrate the weakness of the ``schematic'' approximation when applied to a system containing a P-wave. An estimate of the anti-charmed pentaquark mass is made which is in line with the Jaffe-Wilczek prediction and significantly less than the value reported by the H1 collaboration.

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