Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-12-21
J.Phys. G31 (2005) 617
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, 2 figures, 6 tables; replaced with revised version
Scientific paper
10.1088/0954-3899/31/7/008
The lower excitation spectrum of the nucleon and $\Delta$ 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 receive 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 $\Delta^*(3/2^-)$ and $\Delta^*(1/2^-)$ states in contrast to the non-relativistic Goldstone-Boson Exchange based quark models. This splitting is due-to a relativistic operator which couples the lower and upper orbital momentum of two interacting valence quarks.
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