dorsal/arxiv
View SchemaNucleon Polarizabilities from Deuteron Compton Scattering within a Green's-Function Hybrid Approach
| Authors | Robert P. Hildebrandt, Harald W. Griesshammer, Thomas R. Hemmert |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512063 |
| URL | https://arxiv.org/abs/nucl-th/0512063 |
| DOI | 10.1140/epja/i2010-11024-y |
| Journal | Eur.Phys.J.A46:111-137,2010 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We examine elastic Compton scattering from the deuteron for photon energies ranging from zero to 100 MeV, using state-of-the-art deuteron wave functions and NN-potentials. Nucleon-nucleon rescattering between emission and absorption of the two photons is treated by Green's functions in order to ensure gauge invariance and the correct Thomson limit. With this Green's-function hybrid approach, we fulfill the low-energy theorem of deuteron Compton scattering and there is no significant dependence on the deuteron wave function used. Concerning the nucleon structure, we use Chiral Effective Field Theory with explicit \Delta(1232) degrees of freedom within the Small Scale Expansion up to leading-one-loop order. Agreement with available data is good at all energies. Our 2-parameter fit to all elastic $\gamma d$ data leads to values for the static isoscalar dipole polarizabilities which are in excellent agreement with the isoscalar Baldin sum rule. Taking this value as additional input, we find \alpha_E^s= (11.3+-0.7(stat)+-0.6(Baldin)) x 10^{-4} fm^3 and \beta_M^s = (3.2-+0.7(stat)+-0.6(Baldin)) x 10^{-4} fm^3 and conclude by comparison to the proton numbers that neutron and proton polarizabilities are essentially the same.
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"abstract": "We examine elastic Compton scattering from the deuteron for photon energies\nranging from zero to 100 MeV, using state-of-the-art deuteron wave functions\nand NN-potentials. Nucleon-nucleon rescattering between emission and absorption\nof the two photons is treated by Green\u0027s functions in order to ensure gauge\ninvariance and the correct Thomson limit. With this Green\u0027s-function hybrid\napproach, we fulfill the low-energy theorem of deuteron Compton scattering and\nthere is no significant dependence on the deuteron wave function used.\nConcerning the nucleon structure, we use Chiral Effective Field Theory with\nexplicit \\Delta(1232) degrees of freedom within the Small Scale Expansion up to\nleading-one-loop order. Agreement with available data is good at all energies.\nOur 2-parameter fit to all elastic $\\gamma d$ data leads to values for the\nstatic isoscalar dipole polarizabilities which are in excellent agreement with\nthe isoscalar Baldin sum rule. Taking this value as additional input, we find\n\\alpha_E^s= (11.3+-0.7(stat)+-0.6(Baldin)) x 10^{-4} fm^3 and \\beta_M^s =\n(3.2-+0.7(stat)+-0.6(Baldin)) x 10^{-4} fm^3 and conclude by comparison to the\nproton numbers that neutron and proton polarizabilities are essentially the\nsame.",
"arxiv_id": "nucl-th/0512063",
"authors": [
"Robert P. Hildebrandt",
"Harald W. Griesshammer",
"Thomas R. Hemmert"
],
"categories": [
"nucl-th",
"nucl-ex"
],
"doi": "10.1140/epja/i2010-11024-y",
"journal_ref": "Eur.Phys.J.A46:111-137,2010",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Nucleon Polarizabilities from Deuteron Compton Scattering within a Green\u0027s-Function Hybrid Approach",
"url": "https://arxiv.org/abs/nucl-th/0512063"
},
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