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

doi:10.1016/j.nuclphysa.2004.09.068

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 journal › Article › peer-review

69 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: α_p = (12.1 ± 1.1 (stat.)) _-0.5 ^+0.5 (theory) and β_p = (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 α_N = (13.0 ± 1.9 (stat.))_-1.5 ^+3.9 (theory) and a β_N that is consistent with zero within sizable error bars.

Original language	English (US)
Pages (from-to)	311-361
Number of pages	51
Journal	Nuclear Physics A
Volume	747
Issue number	2-4
DOIs	https://doi.org/10.1016/j.nuclphysa.2004.09.068
State	Published - Jan 24 2005
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysa.2004.09.068

Cite this

@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.).",

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doi = "10.1016/j.nuclphysa.2004.09.068",

language = "English (US)",

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T1 - Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O (Q4)

AU - Beane, S. R.

AU - Malheiro, M.

AU - McGovern, J. A.

AU - Phillips, D. R.

AU - van Kolck, U.

N1 - Funding Information: We thank J. Feldman, H. Grießhammer, 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’s CNPq (M.M.), and by an Alfred P. Sloan Fellowship (U.v.K.).

PY - 2005/1/24

Y1 - 2005/1/24

N2 - 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.

AB - 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.

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U2 - 10.1016/j.nuclphysa.2004.09.068

DO - 10.1016/j.nuclphysa.2004.09.068

M3 - Article

AN - SCOPUS:11344275208

SN - 0375-9474

VL - 747

SP - 311

EP - 361

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 2-4

ER -

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

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