Precision Hypernuclear Structure from Interaction Cross Sections
Abstract
We establish interaction cross sections as a quantitative structural observable for hypernuclei. Using the hypertriton, 3ΛH, as the most stringent benchmark, microscopic three-body wave functions are combined with a finite-range coupled-channel Glauber calculation and Bayesian inversion. For 3ΛH+12C 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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BibTeX
@misc{bertulani2026precision,
title = {{Precision Hypernuclear Structure from Interaction Cross Sections}},
author = {Carlos A. Bertulani},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.02923},
eprint = {2606.02923},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.02923},
}
RIS
TY - UNPB
TI - Precision Hypernuclear Structure from Interaction Cross Sections
AU - Carlos A. Bertulani
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2606.02923
UR - https://arxiv.org/abs/2606.02923
AB - We establish interaction cross sections as a quantitative structural observable for hypernuclei. Using the hypertriton, ^3_ΛH, as the most stringent benchmark, microscopic three-body wave functions are combined with a finite-range coupled-channel Glauber calculation and Bayesian inversion. For ^3_ΛH+^12C at 1.5 GeV/nucleon, the interaction cross section decreases from about 1150 to 750 mb as the Λ separation energy B_Λ increases from 0.1 to 0.5 MeV, while propagated reaction-model uncertainties remain near 5\%. A measurement therefore supplies a direct inversion σ_I→ r_m→ B_Λ, 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.
ER -