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Effective Field Theory for Halo Nuclei: Shallow p-Wave States
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Halo nuclei are a promising new arena for studies based on effective field theory (EFT). We develop an EFT for shallow p-wave states and discuss the application to elastic n-alpha scattering. In contrast to the s-wave case, both the scattering length and effective range enter at leading order. We also discuss the prospects of using EFT in the description of other halos, such as the three-body halo nucleus 6He.
Forward citations
Cited by 4 Pith papers
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Deuterium-Proton Fusion in an Effective Field Theory Constructed from On-Shell Amplitudes
A nuclear-state on-shell EFT yields S(0)=0.209±0.008 eV b for d(p,γ)3He and traces the ab initio-data offset to a natural t_E1≈−0.15 contact term.
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Constructing Effective Interactions via Projection-Based Inversion
Discrete energy levels from truncated many-body calculations are inverted, via a Multiparameter Eigenvalue Problem emulator, into effective contact interactions that yield scattering phase shifts and resonance predictions.
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Finite-range EFT for the $E1$ strength distribution of ${}^6$He
Finite-range Halo EFT with separable interactions computes the E1 strength distribution of ⁶He at NLO and rms charge radius 2.00 ± 0.09 fm, both agreeing with data within theory errors.
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Renormalizing Two-Neutron Halo Nuclei Without Neutron-Core Interaction
The Hongo-Son two-neutron halo EFT needs an extra renormalization condition—one input radius or scattering amplitude—before charge and matter radii can be predicted separately, and the resulting coupling has a Landau pole.
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