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Pentaquark Decay Amplitudes From SU(3) Flavor Symmetry

2004/06/04 by Steven Golbeck, Golbeck, Steven, Mikhail Savrov +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0406060

14 pages, no figures

arxiv created 2004/06/07 · arxiv updated 2009/12/01

Abstract

The experimental signature of an S=+1 baryon of mass 1540 MeV and width 10-25 MeV has led to speculation that this is an exotic baryon consisting of 4 quarks and 1 antiquark lying at the top of a 10 SU(3) multiplet. The observed decay modes are Θ+ → K+n and Θ+ → K0Sp or in terms of flavor multiplets, 10 to 8 x 8. The effective Hamiltonian for this decay can be written as a flavor singlet piece plus an SU(3) breaking term. By using the Wigner-Eckart thereom, we then relate the decay amplitudes of all 10 members of the antidecuplet in terms of 5 parameters. Similarly, we perform the same calculation for the proposed exotic multiplets 27 and 35.

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