The Adler–Weisberger and Goldberger–Miyazawa–Oehme sum rules as probes of constraints from analyticity and chiral symmetry in dynamical models for pion–nucleon scattering
✍ Scribed by S. Kondratyuk; K. Kubodera; F. Myhrer; O. Scholten
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 233 KB
- Volume
- 736
- Category
- Article
- ISSN
- 0375-9474
No coin nor oath required. For personal study only.
✦ Synopsis
The Adler-Weisberger and Goldberger-Miyazawa-Oehme sum rules are calculated within a relativistic, unitary and crossing symmetric dynamical model for pion-nucleon scattering using two different methods: (1) by evaluating the scattering amplitude at the corresponding low-energy kinematics and (2) by evaluating the sum-rule integrals with the calculated total cross section. The discrepancy between the results of the two methods provides a measure of the breaking of analyticity and chiral symmetry in the model. The contribution of the ∆ resonance, including its dressing with meson loops, is discussed in some detail and found to be small.