Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory

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Auteurs principaux: Thim, Oliver, Ekström, Andreas, Forssén, Christian
Format: Preprint
Publié: 2026
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author Thim, Oliver
Ekström, Andreas
Forssén, Christian
author_facet Thim, Oliver
Ekström, Andreas
Forssén, Christian
contents We predict ground-state energies of $^3$H, $^4$He, and $^6$Li in chiral effective field theory up to next-to-next-to-next-to-leading-order (N$^3$LO) using a power counting guided by renormalization-group invariance. Subleading two-nucleon interactions are treated perturbatively, and for $^4$He and $^6$Li, we calculate the perturbative corrections from numerical derivatives of ground-state energies obtained with Lanczos diagonalization. We find that including the $^3$H binding energy in the calibration is essential for robust predictions of $^4$He and $^6$Li. This work demonstrates that the employed power counting can be applied to construct nuclear interactions with predictive power for light nuclei, bringing nuclear structure predictions closer to a foundation in quantum chromodynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14985
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
Thim, Oliver
Ekström, Andreas
Forssén, Christian
Nuclear Theory
We predict ground-state energies of $^3$H, $^4$He, and $^6$Li in chiral effective field theory up to next-to-next-to-next-to-leading-order (N$^3$LO) using a power counting guided by renormalization-group invariance. Subleading two-nucleon interactions are treated perturbatively, and for $^4$He and $^6$Li, we calculate the perturbative corrections from numerical derivatives of ground-state energies obtained with Lanczos diagonalization. We find that including the $^3$H binding energy in the calibration is essential for robust predictions of $^4$He and $^6$Li. This work demonstrates that the employed power counting can be applied to construct nuclear interactions with predictive power for light nuclei, bringing nuclear structure predictions closer to a foundation in quantum chromodynamics.
title Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
topic Nuclear Theory
url https://arxiv.org/abs/2604.14985