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A simple model to explain narrow nucleon resonances below the πN threshold

Thomas Walcher
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Abstract

Several experiments suggest the existence of narrow excited states in the nucleon below the πN threshold. Taking all information together a series of states emerges at masses of 940, 966, 985, 1003, m_4, 1044, m_6, 1094 MeV above the nucleon ground state at 940 MeV with m_4 and m_6 missing. A model based on the excitation of collective states of the quark condensate is proposed explaining these states as multiple production of a ``genuine'' Goldstone Boson with a mass of \approx 20 MeV. The model also accounts in a natural way for the non-observation of m_4 and m_6. It suggests an explanation of the mass gap problem of the hadronic spectrum and a confinement mechanism.

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Thomas Walcher. 2001-11-22. A simple model to explain narrow nucleon resonances below the πN threshold. https://arxiv.org/abs/hep-ph/0111279

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