Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O (Q4)

S. R. Beane, M. Malheiro, J. A. McGovern, D. R. Phillips, U. van Kolck

Research output: Contribution to journalArticlepeer-review

64 Scopus citations

Abstract

We study Compton scattering in systems with A = 1 and 2 using chiral perturbation theory up to fourth order. For the proton we fit the two undetermined parameters in the O(Q4) γp amplitude of McGovern to experimental data in the region ω, t ≤ 180 MeV, obtaining a χ2 /d.o.f. of 133/113. This yields a model-independent extraction of proton polarizabilities based solely on low-energy data: αp = (12.1 ± 1.1 (stat.)) -0.5 +0.5 (theory) and βp = (3.4 ± 1.1 (stat.))-0.1 +0.1 (theory), both in units of 10-4 fm3. We also compute Compton scattering on deuterium to O(Q4). The γd amplitude is a sum of one- and two-nucleon mechanisms, and contains two undetermined parameters, which are related to the isoscalar nucleon polarizabilities. We fit data points from three recent γd scattering experiments with a χ2 /d.o.f. = 26.6/20, and find αN = (13.0 ± 1.9 (stat.))-1.5 +3.9 (theory) and a βN that is consistent with zero within sizable error bars.

Original languageEnglish (US)
Pages (from-to)311-361
Number of pages51
JournalNuclear Physics A
Volume747
Issue number2-4
DOIs
StatePublished - Jan 24 2005

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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