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arXiv · 0907.2706

Analysis of 56-plet positive parity baryon decays in the 1/Nc expansion

J. L. Goity·C. Jayalath·N. N. Scoccola
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Abstract

The partial decay widths of positive parity baryons belonging to 56-plets of SU(6) are analyzed in the framework of the 1/Nc expansion. The channels considered are those with emission of a single pion, K or K-bar mesons, and the analysis is carried out to subleading order in 1/Nc and to first order in SU(3) symmetry breaking. The results for the multiplet [56,0+], to which the Roper resonance belongs, indicate a poor description at leading order, requiring important next to leading order corrections. For the multiplet [56,2+], the P-wave decays in the non-strange sector are well described at leading order, while the F-wave decays require the next to leading order corrections, which turn out to be of natural magnitude. SU(3) breaking effects are poorly determined, because only few decays with K meson in final state are established, and their widths are not known with sufficient accuracy.

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J. L. Goity, C. Jayalath, N. N. Scoccola. 2009-07-15. Analysis of 56-plet positive parity baryon decays in the 1/Nc expansion. https://doi.org/10.1103/physrevd.80.074027

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