The $Δ(1232)$ as an Effective Degree of Freedom in Chiral Perturbation Theory

Details The $Δ(1232)$ as an Effective Degree of Freedom in Chiral Perturbation Theory The $Δ(1232)$ as an Effective Degree of Freedom in Chiral Perturbation Theory

1997-11-26

arxiv.org/abs/hep-ph/9711484v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, Latex using lamuphys.sty, 2 figures embedded with epsfig.sty. To appear in Proc. of Workshop on Chiral Dynamics 1997

Scientific paper

10.1007/BFb0104904

Heavy baryon chiral perturbation theory including spin 3/2 delta resonances as effective degrees of freedom is reviewed. The theory admits a systematic expansion in the small scale $\epsilon$, where $\epsilon$ collectively denotes soft momenta, the pion mass or the delta-nucleon mass difference. Renormalization is discussed in some detail on the example of the scalar sector of one-nucleon processes, and a reformulation of the principle of resonance saturation for counterterms of the HBChPT lagrangian is sketched. As an application, the polarizabilities of the nucleon are discussed at order $\epsilon^3$.

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