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A renormalizable theory for not-so-light nuclei

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arxiv 2505.09299 v1 pith:JM5E76CE submitted 2025-05-14 nucl-th

classification nucl-th
keywords nucleitheoryeftsorderrenormalizableactionagreeapplications
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present an improved action for Pionless Effective Field Theory (EFT). Previous formulations of renormalizable nuclear EFTs have encountered instabilities in systems with more than four nucleons. We resolve this issue by introducing a finite interaction range at leading order, which is compensated for in perturbation theory at next-to-leading order. Calculated ground-state energies of $^4$He, $^6$Li, $^{12}$C, and $^{16}$O converge and agree with experiment within theoretical uncertainties. This first successful implementation of systematic renormalizability beyond the lightest nuclei enables not only applications to larger nuclei but also extensions to other EFTs in the strong-coupling regime.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Observation of renormalization group invariance in symmetry-restored nuclear lattice effective field theory

    nucl-th 2025-09 conditional novelty 6.0 of 10

    After restoring Galilean invariance with counterterms, the N2LO lattice prediction for 4He binding stays constant for cutoffs 250-400 MeV and matches experiment.

  2. Hypernuclei with Neural Network Quantum States

    nucl-th 2025-07 conditional novelty 6.0 of 10

    Neural network quantum states, extended to include Lambda hyperons, reproduce hypernuclear separation energies to within roughly 9% and predict the observed proton-radius shrinkage in 7ΛLi.

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