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Energies and radii of light nuclei around unitarity
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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.
Forward citations
Cited by 4 Pith papers
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Three- and four-boson systems expanded around the unitarity limit: Application to $^4$He
EFT study of ^4He trimers and tetramers around unitarity limit yields binding energies and radii that converge to phenomenological potential results after including finite-range and four-body corrections.
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Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.
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Coulomb Corrections to Three-Nucleon Moments
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element...
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Coulomb Effects and Wigner-SU(4) Symmetry in He-3 Charge and Magnetic Properties
Non-perturbative Coulomb corrections in LO pionless EFT give a 0.85(3) MeV He-3/H-3 binding split, 0.043(2) fm charge-radius shift, 0.036(2) fm magnetic-radius shift, and -0.0041(1) μ_N moment shift.
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