The GDH sum rule for the Delta isobar: A possible anomaly?

Details The GDH sum rule for the Delta isobar: A possible anomaly? The GDH sum rule for the Delta isobar: A possible anomaly?

2000-10-18

arxiv.org/abs/nucl-th/0010060v1

Physics

Nuclear Physics

Nuclear Theory

5 pages, no figures. Extended talk at the GDH2000 Symposium, Mainz, June 14-17, 2000. To appear in proceedings

Scientific paper

The GDH sum rule is discussed for the Delta(1232) resonance. It is shown that apart from ordinary excitations to higher-energy states, the sum rule contains a large negative contribution due to de-excitation into the nucleon state. Therefore, a fulfillment of the sum rule assumes a strong coupling of Delta^+ and Delta^0 to resonances of spin 5/2 and higher. Calculations performed in quark models suggest that D15(1675) may be such a resonance. However, its strength is found to be not sufficient for bringing the GDH sum rule to a theoretically expected positive magnitude.

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