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VOLUME 90 (2009) | ISSUE 6 | PAGE 451
Baryon resonances in the mean field approach and a simple explanation of the Θ+ pentaquark
PACS: 12.39.Ki, 14.20.Dh, 14.20.Jn
Abstract
We suggest to classify baryon resonances as single-quark states in a mean field, and/or as its collective excitations. Identifying the Roper resonance N(1440,{\textstyle{\frac{1}{2}}}^+), the nucleon resonance N(1535,{\textstyle{\frac{1}{2}}}^-), and the singlet hyperon \Lambda(1405,{\textstyle{\frac{1}{2}}}^-) as single-quark excitations, we find that there must be an exotic S=+1 baryon resonance Θ+  (the "pentaquark") with a mass about 1440+1535-1405=1570 MeV and spin-parity {\textstyle{\frac{1}{2}}}^+. We argue that Θ+  is an analog of the Gamov-Teller excitation long known in nuclear physics.