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Lower excitation spectrum of the nucleon and delta in a relativistic chiral quark model

2004/12/31 by E. M. Tursunov, E M Tursunov · 3 citations
Physics and Astronomy · #Baryon #Delta baryon #Excitation #Isospin #Nuclear physics research studies #Nucleon #Parity (physics) #Pion #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quark model #Valence (chemistry) #hep-ph #nucl-th

paper · pdf · doi:10.1088/0954-3899/31/7/008

published in Journal of Physics G Nuclear and Particle Physics 31(7), 617-629 (IOP Publishing) · 11 pages, 2 figures, 6 tables; replaced with revised version

arxiv created 2005/01/31 · openalex publication_date 2005/05/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The lower excitation spectrum of the nucleon and Δ is calculated in a relativistic chiral quark model. Contributions of the second-order self-energy and exchange diagrams due to pion fields to the mass spectrum of the SU (2) baryons are estimated. A splitting between N(939) and positive parity nucleon resonance (Roper resonance) N*(1440) is reproduced with a reasonable accuracy. The obtained structure of one-meson exchange interaction confirms a prediction of the large N c limit approach stating that the mass splitting between various baryon states receives contributions from operators which simultaneously couple spin, isospin and orbital momentum. It is shown that one-meson exchange interaction generates a splitting between negative parity N*(1/2 − ) and N*(3/2 − ) states, and also between Δ*(3/2 − ) and Δ*(1/2 − ) states in contrast to the non-relativistic Goldstone boson exchange based quark models.

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