/ 04 03 23 5 v 1 2 2 M ar 2 00 4 A model realisation of the Jaffe - Wilczek correlation for pentaquarks
نویسنده
چکیده
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 ∆ − 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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تاریخ انتشار 2004