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Phys. Rev. C 62, 044004 (2000) [6 pages]

Faddeev approach to confined three-quark problems

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Z. Papp1, A. Krassnigg2, and W. Plessas2
1Institute of Nuclear Research of the Hungarian Academy of Sciences, H-4001 Debrecen, Hungary
2Institute for Theoretical Physics, University of Graz, A-8010 Graz, Austria

Received 1 February 2000; published 15 September 2000

We propose a method that allows for the efficient solution of the three-body Faddeev equations in the presence of infinitely rising confinement interactions. Such a method is useful in calculations of nonrelativistic and especially semirelativistic constituent quark models. The convergence of the partial wave series is accelerated and possible spurious contributions in the Faddeev components are avoided. We demonstrate how the method works with the example of the Goldstone-boson-exchange chiral quark model for baryons.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.62.044004
DOI:
10.1103/PhysRevC.62.044004
PACS:
21.45.+v, 12.39.-x, 03.65.Ge, 24.85.+p