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The small axial charge of the N(1535)-resonance
Authors:C S An  D O Riska
Institution:(1) Institute of High Energy Physics, CAS, P.O. Box 918, 10049 Beijing, China;(2) Helsinki Institute of Physics, University of Helsinki, Helsinki, POB 64, 00014, Finland
Abstract:There is a natural cancellation between the contributions of the qqq and qqqq $$
\bar q
$$ components to the axial charge of the N(1535)-resonance. While the probability of the former is larger than that of the latter, its coefficient in the axial charge expression is exceptionally small. The magnitude of two of the corresponding coefficients of the qqqq $$
\bar q
$$ components is in contrast large and has the opposite sign. This result provides a phenomenological illustration of the recent unquenched lattice calculation result that the axial charge of the N(1535)-resonance is very small, if not vanishing (T.T. Takahashi, T. Kunihiro, arXiv: 0801.4707 hep-lat]). The result sets an upper limit on the magnitude of the probability of qqqq $$
\bar q
$$ components as well.
Keywords:PACS" target="_blank">PACS  12  39  Jh Nonrelativistic quark model  14  20  Gk Baryon resonances with S = 0
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