Constraining Low-Energy Proton Capture on Beryllium-7 through Charge Radius Measurements

Abstract

In this paper, we point out that a measurement of the charge radius of Boron-8 provides indirect access to the S-factor for radiative proton capture on Beryllium-7 at low energies. We use leading-order halo effective field theory to explore this correlation and we give a relation between the charge radius and the S-factor. Furthermore, we present important technical aspects relevant to the renormalization of pointlike P-wave interactions in the presence of a repulsive Coulomb interaction.

arXiv commentAccepted for publication in European Physical Journal A. 29 pages, 9 figures

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• Elastic $\alpha$-${}^{12}$C scattering at low energies in cluster effective field theory
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the bound states of ${}^{16}$O in effective field theory
• Range corrections in Proton Halo Nuclei
• Low-energy bound states, resonances, and scattering of light ions
• Models, measurements, and effective field theory: proton capture on Beryllium-7 at next-to-leading order
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• Cluster effective field theory and nuclear reactions
• Three-body systems in physics of cold atoms and halo nuclei
• Coupled-channels treatment of ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ in effective field theory
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Halo structure of ${}^{17}$C
• Radiative proton capture on ${}^{15}\mathrm{N}$ within effective field theory
• Neutron transfer reactions in halo effective field theory
• Finite-Size Effects in Heavy Halo Nuclei from Effective Field Theory
• Low-Energy Deuteron-Alpha Elastic Scattering in Cluster Effective Field Theory