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Title: High-accuracy analysis of Compton scattering in chiral effective field theory: Status and future

Abstract

Theory and prospects of Compton scattering on nucleons and light nuclei below 500MeV are outlined; cf. [1–3].

Authors:
 [1];  [2];  [3]
  1. Institute for Nuclear Studies, Department of Physics, George Washington University, Washington DC 20052, USA and IKP-3, IAS and Jülich Centre for Hadron Physics, Forschungszentrum Jülich, D-52428 Jülich (Germany)
  2. Dept. of Physics and Astronomy, Inst. of Nuclear and Particle Physics, Ohio University, Athens OH 45701 (United States)
  3. School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL (United Kingdom)
Publication Date:
OSTI Identifier:
22280674
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1563; Journal Issue: 1; Conference: Workshop to explore physics opportunities with intense, polarized electron beams at 50-300 MeV, Cambridge, MA (United States), 14-16 Mar 2013; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ACCURACY; CHIRALITY; COMPTON EFFECT; ELECTRON REACTIONS; ELECTRON-NUCLEON INTERACTIONS; ENERGY DEPENDENCE; LIGHT NUCLEI; NUCLEONS; QUANTUM FIELD THEORY

Citation Formats

Grießhammer, Harald W., Phillips, Daniel R., and McGovern, Judith A. High-accuracy analysis of Compton scattering in chiral effective field theory: Status and future. United States: N. p., 2013. Web. doi:10.1063/1.4829403.
Grießhammer, Harald W., Phillips, Daniel R., & McGovern, Judith A. High-accuracy analysis of Compton scattering in chiral effective field theory: Status and future. United States. doi:10.1063/1.4829403.
Grießhammer, Harald W., Phillips, Daniel R., and McGovern, Judith A. Thu . "High-accuracy analysis of Compton scattering in chiral effective field theory: Status and future". United States. doi:10.1063/1.4829403.
@article{osti_22280674,
title = {High-accuracy analysis of Compton scattering in chiral effective field theory: Status and future},
author = {Grießhammer, Harald W. and Phillips, Daniel R. and McGovern, Judith A.},
abstractNote = {Theory and prospects of Compton scattering on nucleons and light nuclei below 500MeV are outlined; cf. [1–3].},
doi = {10.1063/1.4829403},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1563,
place = {United States},
year = {Thu Nov 07 00:00:00 EST 2013},
month = {Thu Nov 07 00:00:00 EST 2013}
}
  • The differential cross section for {gamma}-deuteron Compton scattering is computed to next-to-leading order (NLO) in an effective field theory that describes nucleon-nucleon interactions below the pion production threshold. Contributions at NLO include the nucleon isoscalar electric polarizability from its 1/m{sub {pi}} behavior in the chiral limit. The parameter free prediction of the {gamma}-deuteron differential cross section at NLO is in good agreement with data.
  • Polarized Compton scattering on the deuteron is studied in nuclear effective field theory. A set of tensor structures is introduced to define 12 independent Compton amplitudes. The scalar and vector amplitudes are calculated up to next-to-next-to-leading order in low-energy power counting. Significant contribution to the vector amplitudes is found to come from the spin-orbit type of relativistic corrections. A double-helicity-dependent cross section {delta}{sub 1}d{sigma}/d{omega}=(d{sigma}{sub +1-1}-d{sigma}{sub +1+1})/2d{omega} is calculated to the same order, and the effect of the nucleon isoscalar spin-dependent polarizabilities is found to be smaller than the effect of isoscalar spin-independent ones. Contributions of spin-independent polarizabilities are investigated inmore » various asymmetries, one of which has an effect as large as 12% (26%) at the center-of-mass photon energy 30 (50) MeV.« less
  • It is argued that the fine-tuning due to the unnaturally large, generalized effective range in the {sup 1}S{sub 0} channel of NN scattering must be incorporated in order for one to obtain satisfactory convergence for chiral effective field theory. Without the proposition of perturbative one-pion exchange, an effective field theory with the spin-0, isospin-1 dibaryon is developed to account for this fine-tuning, and is demonstrated up to O(Q) where the leading irreducible two-pion exchange arises. The approach shown in the paper results in rapid convergence of the {sup 1}S{sub 0} partial-wave amplitude.
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