Energies and radii of light nuclei around unitarity

Abstract

Light nuclei fall within a regime of universal physics governed by the fact that the two-nucleon scattering lengths are large compared to the typical nuclear interaction range set by one-pion exchange. This places nuclear physics near the so-called unitarity limit in which the scattering lengths are exactly infinite. Effective field theory provides a powerful theoretical framework to capture this separation of scales in a systematic way. It is shown here that the nuclear force can be constructed as a perturbative expansion around the unitarity limit and that this expansion has good convergence properties for both the binding energies of $A=3,4$ nuclei as well as for the radii of these states.

arXiv comment14 pages, 3 figures. Prepared as contribution to the EPJA topical issue "The tower of effective (field) theories and the emergence of nuclear phenomena."

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• Nuclear Effective Field Theories: Reverberations of the early days
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• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry
• Systematic study of large-momentum distribution in nuclei with the operator product expansion