Elastic deuteron-deuteron scattering in the 5S2 channel within Nuclear Lattice Effective Field Theory
Abstract
We calculate low-energy deuteron-deuteron scattering in the spin-quintet 5S2 channel using nuclear lattice effective field theory. The calculation combines chiral interactions at next-to-next-to-next-to-leading order, implemented through wavefunction matching, with the adiabatic projection method. Because the radial cluster basis develops small norm-matrix eigenvalues at large Euclidean projection time, we investigate two stabilization procedures: Tikhonov regularization and projection onto well-resolved norm eigenmodes. The two procedures yield consistent Coulomb-subtracted phase shifts within their statistical and numerical uncertainties. A Coulomb-modified effective-range analysis gives 5add = (11.99 ± 0.22) fm and 5rdd = (3.44 ± 0.79) fm. The phase shifts are more negative, and the scattering length is substantially larger than in previous calculations, corresponding to a stronger effective repulsion in the 5S2 channel. These results provide a first nuclear-lattice benchmark for deuteron-deuteron scattering and establish a starting point for future coupled-channel calculations of the deuteron-induced reactions relevant to big-bang nucleosynthesis.
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BibTeX
@misc{meyer2026elastic,
title = {{Elastic deuteron-deuteron scattering in the $^5S_2$ channel within Nuclear Lattice Effective Field Theory}},
author = {Helen Meyer and Serdar Elhatisari and Fabian Hildenbrand and Ulf-G. Meißner},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.00681},
eprint = {2607.00681},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.00681},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Elastic deuteron-deuteron scattering in the ^5S_2 channel within Nuclear Lattice Effective Field Theory
AU - Helen Meyer
AU - Serdar Elhatisari
AU - Fabian Hildenbrand
AU - Ulf-G. Meißner
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2607.00681
UR - https://arxiv.org/abs/2607.00681
AB - We calculate low-energy deuteron-deuteron scattering in the spin-quintet ^5S_2 channel using nuclear lattice effective field theory. The calculation combines chiral interactions at next-to-next-to-next-to-leading order, implemented through wavefunction matching, with the adiabatic projection method. Because the radial cluster basis develops small norm-matrix eigenvalues at large Euclidean projection time, we investigate two stabilization procedures: Tikhonov regularization and projection onto well-resolved norm eigenmodes. The two procedures yield consistent Coulomb-subtracted phase shifts within their statistical and numerical uncertainties. A Coulomb-modified effective-range analysis gives ^5a_dd = (11.99 ± 0.22) fm and ^5r_dd = (3.44 ± 0.79) fm. The phase shifts are more negative, and the scattering length is substantially larger than in previous calculations, corresponding to a stronger effective repulsion in the ^5S_2 channel. These results provide a first nuclear-lattice benchmark for deuteron-deuteron scattering and establish a starting point for future coupled-channel calculations of the deuteron-induced reactions relevant to big-bang nucleosynthesis.
ER -