Analyzing the Effects of Neutron Polarizabilities in Elastic Compton Scattering off ${}^3$He

Abstract

Motivated by the fact that a polarized ${}^3$He nucleus behaves as an `effective' neutron target, we examine manifestations of neutron electromagnetic polarizabilities in elastic Compton scattering from the Helium-3 nucleus. We calculate both unpolarized and double-polarization observables using chiral perturbation theory to next-to-leading order ($\mathcal{O}(e^{2}Q)$) at energies, $\omega \le m_{\pi }$, where $m_{\pi }$ is the pion mass. Our results show that the unpolarized differential cross section can be used to measure neutron electric and magnetic polarizabilities, while two double-polarization observables are sensitive to different linear combinations of the four neutron spin polarizabilities. [Note added in 2018] The qualitative conclusions and analytic formulae presented in this paper are correct, but several of the numerical results are wrong: see the erratum posted as arXiv:1804.01206 for further details. A full suite of corrected numerical results for cross sections and asymmetries can be found in Margaryan et al., arXiv:1804.00956. They can also be obtained as an interactive Mathematica notebook by emailing [email protected].

40 pages, 16 figures

References in corpus (2)

• Spectra and binding energy predictions of chiral interactions for 7Li
• Investigating Neutron Polarizabilities through Compton Scattering on ${}^3$He

Cited by in corpus (12)

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• Compton Scattering from the Deuteron below Pion-Production Threshold
• Investigating Neutron Polarizabilities through Compton Scattering on ${}^3$He
• Elastic Compton Scattering from 3He and the Role of the Delta
• Compton scattering from ${}^4$He at the TUNL HI$\gamma$S facility
• Erratum: Investigating Neutron Polarizabilities through Compton Scattering on ${}^3$He
• Scattering Observables from One- and Two-Body Densities: Formalism and Application to $\gamma {}^3$He Scattering
• Nucleon Spin-Polarisabilities from Polarisation Observables in Low-Energy Deuteron Compton Scattering
• Compton Scattering from the Deuteron above Pion-Production Threshold