Nucleon polarizabilities from low-energy Compton scattering

S. R. Beane; M. Malheiro; J. A. McGovern; D. R. Phillips; U. Van Kolck

doi:10.1016/j.physletb.2003.06.040

Nucleon polarizabilities from low-energy Compton scattering

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

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Abstract

An effective field theory is used to give a model-independent description of Compton scattering at energies comparable to the pion mass. The amplitudes for scattering on the proton and the deuteron, calculated to fourth order in small momenta in chiral perturbation theory, contain four undetermined parameters that are in one-to-one correspondence with the nucleon polarizabilities. These polarizabilities are extracted from fits to data on elastic photon scattering on hydrogen and deuterium. For the proton we find: α_p = (12.1 ± 1.1)_-0.5^+0.5 × 10^-4 fm³, β_p= (3.4 ± 1.1) _-0.1^+0.1 × 10^-4 fm³. For the isoscalar polarizabilities we obtain: α_N = (9.0 ± 1.5)_-0.8^+3.6 × 10^-4 fm³, β_N = (1.7 ± 1.5)_-0.6^+1.4 × 10^-4 fm³.

Original language	English (US)
Pages (from-to)	200-206
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	567
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2003.06.040
State	Published - Aug 14 2003
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2003.06.040

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@article{38088d08655b4b12af1d810d91379365,

title = "Nucleon polarizabilities from low-energy Compton scattering",

abstract = "An effective field theory is used to give a model-independent description of Compton scattering at energies comparable to the pion mass. The amplitudes for scattering on the proton and the deuteron, calculated to fourth order in small momenta in chiral perturbation theory, contain four undetermined parameters that are in one-to-one correspondence with the nucleon polarizabilities. These polarizabilities are extracted from fits to data on elastic photon scattering on hydrogen and deuterium. For the proton we find: αp = (12.1 ± 1.1)-0.5+0.5 × 10-4 fm3, βp= (3.4 ± 1.1) -0.1+0.1 × 10-4 fm3. For the isoscalar polarizabilities we obtain: αN = (9.0 ± 1.5)-0.8+3.6 × 10-4 fm3, βN = (1.7 ± 1.5)-0.6+1.4 × 10-4 fm3.",

author = "Beane, {S. R.} and M. Malheiro and McGovern, {J. A.} and Phillips, {D. R.} and {Van Kolck}, U.",

note = "Funding Information: We thank T. Hemmert and M. Lucas for discussions, E. Epelbaum and V. Stoks for providing us with deuteron wave functions, and J. Brower for coding assistance. M.M., D.R.P., and U.v.K. thank the Nuclear Theory Group at the University of Washington 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 (D.R.P.), by the UK EPSRC (J.M.), by Brazil's CNPq (M.M.), by DOE OJI Awards (D.R.P., U.v.K.) and by an Alfred P. Sloan Fellowship (U.v.K.).",

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doi = "10.1016/j.physletb.2003.06.040",

language = "English (US)",

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TY - JOUR

T1 - Nucleon polarizabilities from low-energy Compton scattering

AU - Beane, S. R.

AU - Malheiro, M.

AU - McGovern, J. A.

AU - Phillips, D. R.

AU - Van Kolck, U.

N1 - Funding Information: We thank T. Hemmert and M. Lucas for discussions, E. Epelbaum and V. Stoks for providing us with deuteron wave functions, and J. Brower for coding assistance. M.M., D.R.P., and U.v.K. thank the Nuclear Theory Group at the University of Washington 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 (D.R.P.), by the UK EPSRC (J.M.), by Brazil's CNPq (M.M.), by DOE OJI Awards (D.R.P., U.v.K.) and by an Alfred P. Sloan Fellowship (U.v.K.).

PY - 2003/8/14

Y1 - 2003/8/14

N2 - An effective field theory is used to give a model-independent description of Compton scattering at energies comparable to the pion mass. The amplitudes for scattering on the proton and the deuteron, calculated to fourth order in small momenta in chiral perturbation theory, contain four undetermined parameters that are in one-to-one correspondence with the nucleon polarizabilities. These polarizabilities are extracted from fits to data on elastic photon scattering on hydrogen and deuterium. For the proton we find: αp = (12.1 ± 1.1)-0.5+0.5 × 10-4 fm3, βp= (3.4 ± 1.1) -0.1+0.1 × 10-4 fm3. For the isoscalar polarizabilities we obtain: αN = (9.0 ± 1.5)-0.8+3.6 × 10-4 fm3, βN = (1.7 ± 1.5)-0.6+1.4 × 10-4 fm3.

AB - An effective field theory is used to give a model-independent description of Compton scattering at energies comparable to the pion mass. The amplitudes for scattering on the proton and the deuteron, calculated to fourth order in small momenta in chiral perturbation theory, contain four undetermined parameters that are in one-to-one correspondence with the nucleon polarizabilities. These polarizabilities are extracted from fits to data on elastic photon scattering on hydrogen and deuterium. For the proton we find: αp = (12.1 ± 1.1)-0.5+0.5 × 10-4 fm3, βp= (3.4 ± 1.1) -0.1+0.1 × 10-4 fm3. For the isoscalar polarizabilities we obtain: αN = (9.0 ± 1.5)-0.8+3.6 × 10-4 fm3, βN = (1.7 ± 1.5)-0.6+1.4 × 10-4 fm3.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

Nucleon polarizabilities from low-energy Compton scattering

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