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Article
Delta(1232) and the polarizabilities of the nucleon
PHYSICAL REVIEW D
  • TR Hemmert
  • BR Holstein
  • J Kambor
Publication Date
1997
Abstract
Previous calculations of the polarizabilities of the nucleon within the framework of heavy baryon chiral perturbation theory have included the contribution of the Δ(1232) only in its effects on various contact terms or have been performed in chiral SU(3) where systematic errors are difficult to control. Herein, we perform a corresponding calculation in chiral SU(2) wherein Δ(1232) is treated as an explicit degree of freedom and the expansion is taken to third order in soft momenta, the pion mass, and the quantity MΔ-MN, collectively denoted ε. We present the results of a systematic O(ε3) calculation of forward Compton scattering off the nucleon, extract the electric polarizability α̅ E, the magnetic polarizability β̅ M, and the spin polarizability γ, and compare with available information from experiments and from previous calculations. Concluding with a critical discussion of our results, we point out the necessity of a future O(ε4) calculation.
Disciplines
Comments
This is the pre-published version which is collected from arXiv. The published version is at http://prd.aps.org/abstract/PRD/v55/i9/p5598_1
Pages
5598-5612
Citation Information
TR Hemmert, BR Holstein and J Kambor. "Delta(1232) and the polarizabilities of the nucleon" PHYSICAL REVIEW D Vol. 55 Iss. 9 (1997)
Available at: http://works.bepress.com/barry_holstein/176/