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arXiv · 2607.00681

Elastic deuteron-deuteron scattering within Nuclear Lattice Effective Field Theory

Helen Meyer·Serdar Elhatisari·Fabian Hildenbrand·Ulf-G. Meißner
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Abstract

We calculate low-energy deuteron-deuteron scattering in the spin-quintet $^{5}S_2$ 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 ${}^5a_{dd} = (12.96 \pm 0.26)\,\mathrm{fm}$ and ${}^5r_{dd} = (3.62 \pm 0.79)\,\mathrm{fm}$. 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 $^{5}S_2$ channel. These results provide a first nuclear-lattice benchmark for deuteron-deuteron scattering and establish a basis for future coupled-channel calculations of the deuteron-induced reactions relevant to big-bang nucleosynthesis.

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Helen Meyer, Serdar Elhatisari, Fabian Hildenbrand, Ulf-G. Meißner. 2026-07-01. Elastic deuteron-deuteron scattering within Nuclear Lattice Effective Field Theory. https://arxiv.org/abs/2607.00681

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