Delta(1232) and the Polarizabilities of the Nucleon

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dc.creatorHemmert, Thomas R.
dc.creatorHolstein, Barry R.
dc.creatorKambor, Joachim
dc.date1996-12-16
dc.date.accessioned2026-07-07T10:33:26Z
dc.date.available2026-07-07T10:33:26Z
dc.descriptionPrevious 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 its effect on various contact terms or have been performed in chiral SU(3) where systematic errors are difficult to control. Herein we perfrom 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 $M_Δ-M_N$, collectively denoted by $ε$. We present the results of a systematic $O(ε^3)$ calculation of forward Compton scattering off the nucleon, extract the electric polarizability $\barα_E$, the magnetic polarizability $\barβ_M$ 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 $O(ε^4)$ calculation.
dc.description36 page standard latex file plus 4 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/9612374
dc.identifierhttp://arxiv.org/abs/hep-ph/9612374
dc.identifierPhys.Rev.D55:5598-5612,1997
dc.identifierdoi:10.1103/PhysRevD.55.5598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179109
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleDelta(1232) and the Polarizabilities of the Nucleon
dc.typetext

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