A data-driven prediction for the primordial deuterium abundance

Fuente: arXiv
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Auteurs principaux: Launders, Timothy, Giovanetti, Cara, Liu, Hongwan
Format: Preprint
Publié: 2026
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author Launders, Timothy
Giovanetti, Cara
Liu, Hongwan
author_facet Launders, Timothy
Giovanetti, Cara
Liu, Hongwan
contents We predict the primordial deuterium abundance using a novel, fully data-driven approach, where we use Gaussian process regression to fit experimental nuclear reaction data for $d$,($d$,$n$)$^3$He, $d$,($d$,$p$)$t$, and $d$($p$,$γ$)$^3$He, three reactions to which the primordial deuterium abundance is most sensitive. Using the Planck determination of the baryon density, we predict $10^5\times\mathrm{D/H} = 2.442\pm0.040$ in standard Big Bang Nucleosynthesis, $1.70σ$ below the Cooke et al. measurement. Our result is consistent with predictions relying on first principles calculations of the deuterium burning cross sections. With the inferred baryon density from a combined fit to Planck, ACT DR6, and SPT-3G D1, this discrepancy worsens to $1.98σ$. We validate our approach and confirm that Gaussian processes make unbiased D/H predictions with appropriately-sized uncertainties. We repeat our validation tests for low-degree polynomial fits, a technique used in previous analyses, and find that they systematically over-predict D/H. Our results highlight the need for improved measurements of the $d$,($d$,$n$)$^3$He and $d$,($d$,$p$)$t$ S-factors at energies between 0.1 and 0.6 MeV.
format Preprint
id arxiv_https___arxiv_org_abs_2604_16600
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A data-driven prediction for the primordial deuterium abundance
Launders, Timothy
Giovanetti, Cara
Liu, Hongwan
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Nuclear Theory
We predict the primordial deuterium abundance using a novel, fully data-driven approach, where we use Gaussian process regression to fit experimental nuclear reaction data for $d$,($d$,$n$)$^3$He, $d$,($d$,$p$)$t$, and $d$($p$,$γ$)$^3$He, three reactions to which the primordial deuterium abundance is most sensitive. Using the Planck determination of the baryon density, we predict $10^5\times\mathrm{D/H} = 2.442\pm0.040$ in standard Big Bang Nucleosynthesis, $1.70σ$ below the Cooke et al. measurement. Our result is consistent with predictions relying on first principles calculations of the deuterium burning cross sections. With the inferred baryon density from a combined fit to Planck, ACT DR6, and SPT-3G D1, this discrepancy worsens to $1.98σ$. We validate our approach and confirm that Gaussian processes make unbiased D/H predictions with appropriately-sized uncertainties. We repeat our validation tests for low-degree polynomial fits, a technique used in previous analyses, and find that they systematically over-predict D/H. Our results highlight the need for improved measurements of the $d$,($d$,$n$)$^3$He and $d$,($d$,$p$)$t$ S-factors at energies between 0.1 and 0.6 MeV.
title A data-driven prediction for the primordial deuterium abundance
topic Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2604.16600