@article{30456ac870124c668ae5b42cc6514d2f,
title = "Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O (Q4)",
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.",
author = "Beane, {S. R.} and M. Malheiro and McGovern, {J. A.} and Phillips, {D. R.} and {van Kolck}, U.",
note = "Funding Information: We thank J. Feldman, H. Grie{\ss}hammer, R. Hildebrandt, and M. Lucas for useful discussions, E. Epelbaum and V. Stoks for providing us with deuteron wave functions, and J. Brower for coding assistance. We are also very grateful to D. Choudhury for pointing out a significant error in the version of the computer code previously used to generate results for γd scattering. M.M., D.R.P., and U.v.K. thank the Nuclear Theory Group at the University of Washington and the Institute for Nuclear Theory program “Theory of Nuclear Forces and Nuclear Systems” for hospitality while part of this work was carried out, and U.v.K. thanks RIKEN, Brookhaven National Laboratory and the US DOE [DE-AC02-98CH10886] for providing the facilities essential for the completion of this work. This research is supported in part by the US DOE under grants DE-FG03-97ER41014 (S.R.B.), DE-FG02-93ER40756 and DE-FG02-02ER41218 (D.R.P.), and DE-FG03-01ER41196 (U.v.K.), by the UK EPSRC (J.M.), by Brazil{\textquoteright}s CNPq (M.M.), and by an Alfred P. Sloan Fellowship (U.v.K.).",
year = "2005",
month = jan,
day = "24",
doi = "10.1016/j.nuclphysa.2004.09.068",
language = "English (US)",
volume = "747",
pages = "311--361",
journal = "Nuclear Physics A",
issn = "0375-9474",
publisher = "Elsevier B.V.",
number = "2-4",
}