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  • Open Access

Precision Hypernuclear Structure from Interaction Cross Sections

Carlos A. Bertulani*

  • *Contact author: carlos.bertulani@etamu.edu

Phys. Rev. Lett. 137, 162502 – Published 15 October, 2026

DOI: https://doi.org/10.1103/vzp5-ttyh

Abstract

We establish interaction cross sections as a quantitative structural observable for hypernuclei. Using the hypertriton, HΛ3, as the most stringent benchmark, microscopic three-body wave functions are combined with a finite-range coupled-channel Glauber calculation and Bayesian inversion. For HΛ3+C12 at 1.5  GeV/nucleon, the interaction cross section decreases from about 1150 to 750 mb as the Λ separation energy BΛ increases from 0.1 to 0.5 MeV, while propagated reaction-model uncertainties remain near 5%. A measurement therefore supplies a direct inversion σI→rm→BΛ, constraining both the matter radius and the Λ separation energy. The framework provides the missing quantitative link between proposed interaction-cross-section measurements and the spatial structure of an already formed hypernucleus. Although demonstrated for the hypertriton, the methodology is readily extendable to other weakly bound hypernuclei.

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