dorsal/arxiv
View SchemaCompton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
| Authors | S. R. Beane, M. Malheiro, J. A. McGovern, D. R. Phillips, U. van Kolck |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403088 |
| URL | https://arxiv.org/abs/nucl-th/0403088 |
| DOI | 10.1016/j.nuclphysa.2004.09.068 |
| Journal | Nucl.Phys.A747:311-361,2005 |
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(Q^4) $\gamma$p amplitude of McGovern to experimental data in the region $\omega,\sqrt{|t|} \leq 180$ MeV, obtaining a chi^2/d.o.f. of 133/113. This yields a model-independent extraction of proton polarizabilities based solely on low-energy data: alpha_p=12.1 +/- 1.1 (stat.) +/- 0.5 (theory) and beta_p=3.4 +/- 1.1 (stat.) +/- 0.1 (theory), both in units of 10^{-4} fm^3. We also compute Compton scattering on deuterium to O(Q^4). The $\gamma$d 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 $\gamma$d scattering experiments with a chi^2/d.o.f.=26.6/20, and find alpha_N=13.0 +/- 1.9 (stat.) +3.9/-1.5 (theory) and a beta_N that is consistent with zero within sizeable error bars.
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"abstract": "We study Compton scattering in systems with A=1 and 2 using chiral\nperturbation theory up to fourth order. For the proton we fit the two\nundetermined parameters in the O(Q^4) $\\gamma$p amplitude of McGovern to\nexperimental data in the region $\\omega,\\sqrt{|t|} \\leq 180$ MeV, obtaining a\nchi^2/d.o.f. of 133/113. This yields a model-independent extraction of proton\npolarizabilities based solely on low-energy data: alpha_p=12.1 +/- 1.1 (stat.)\n+/- 0.5 (theory) and beta_p=3.4 +/- 1.1 (stat.) +/- 0.1 (theory), both in units\nof 10^{-4} fm^3. We also compute Compton scattering on deuterium to O(Q^4). The\n$\\gamma$d amplitude is a sum of one- and two-nucleon mechanisms, and contains\ntwo undetermined parameters, which are related to the isoscalar nucleon\npolarizabilities. We fit data points from three recent $\\gamma$d scattering\nexperiments with a chi^2/d.o.f.=26.6/20, and find alpha_N=13.0 +/- 1.9 (stat.)\n+3.9/-1.5 (theory) and a beta_N that is consistent with zero within sizeable\nerror bars.",
"arxiv_id": "nucl-th/0403088",
"authors": [
"S. R. Beane",
"M. Malheiro",
"J. A. McGovern",
"D. R. Phillips",
"U. van Kolck"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1016/j.nuclphysa.2004.09.068",
"journal_ref": "Nucl.Phys.A747:311-361,2005",
"title": "Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)",
"url": "https://arxiv.org/abs/nucl-th/0403088"
},
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