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Baryon resonances in the mean field approach and a simple explanation of the Θ+ pentaquark

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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, 1/2+), the nucleon resonance N(1535, 1/2), and the singlet hyperon Λ(1405, 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 1/2+. We argue that Θ+ is an analog of the Gamov-Teller excitation long known in nuclear physics.

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Correspondence to D. I. Diakonov.

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Diakonov, D.I. Baryon resonances in the mean field approach and a simple explanation of the Θ+ pentaquark. Jetp Lett. 90, 407–411 (2009). https://doi.org/10.1134/S0021364009180015

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