Features of Pion Nucleon Scattering With Nucleons as Chiral Solitons
Jul 25, 198817 pages
Published in:
- Nucl.Phys.A 490 (1988) 602-618
- Published: 1988
Report number:
- TPR-88-13
Citations per year
Abstract: (Elsevier)
We show that after simultaneous quantization of the rotational and translational collective degrees of freedom of chiral solitons, the p-wave pion-nucleon scattering amplitude can be generated in close analogy with the phenomenologically successful Δ-isobar model. In particular, the Δ-decay width arises naturally. We also comment on the usual background scattering method and find that the absence of the Δ resonance in this approach is closely related to the fact that the value of the axial vector coupling constant g A comes out too small. We discuss this in the context of the Adler-Weisberger sum rule. We also comment on some problems in s-wave πN scattering.- PI NUCLEON: INTERACTION
- INTERACTION: PI NUCLEON
- NUCLEON: MODEL
- FIELD EQUATIONS: SOLITON
- SYMMETRY: CHIRAL
- DELTA(1232): WIDTH
- COUPLING CONSTANT: AXIAL-VECTOR
- AXIAL-VECTOR: COUPLING CONSTANT
- PARTIAL WAVE
- MODEL: ISOBAR
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