Toward testing antinucleonunicodex2013nucleus optical potentials with antineutron scattering lengths
Abstract
The antineutronunicodex2013nucleus scattering length is currently known only indirectly, via antiprotonunicodex2013nucleus optical potentials fitted to level shifts and widths of antiprotonic atoms. The antineutronunicodex2013nucleus and antiprotonunicodex2013nucleus potentials are related to each other through charge symmetry. We calculate the scattering length from optical potentials proposed for antiprotonic atoms using nucleon density distributions as input. We find that the scattering length for an N>Z nuclide is largely affected by the poorly constrained neutron density distribution and by a possible isovector interaction, one of the mechanisms introduced to reproduce the isotope dependence of antiprotonic 40,48Ca data. For 48Ca, the isovector term modifies the scattering length by 0.3unicodex20130.4 fm (0.4unicodex20130.5 fm) for the real (imaginary) part, an order of magnitude beyond the uncertainty propagated from the isoscalar potential. As no antineutronunicodex2013nucleus scattering data are available below 76 MeV/c, a direct measurement with recently proposed low-energy antineutron beams would provide the first access to the antinucleonunicodex2013nucleus interaction in the s-wave regime.
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BibTeX
@misc{fujioka2026toward,
title = {{Toward testing antinucleon$\unicodex2013$nucleus optical potentials with antineutron scattering lengths}},
author = {Hiroyuki Fujioka and Sayaka Ishii},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.18668},
eprint = {2608.18668},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.18668},
}
RIS
TY - UNPB
TI - Toward testing antinucleonunicodex2013nucleus optical potentials with antineutron scattering lengths
AU - Hiroyuki Fujioka
AU - Sayaka Ishii
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2608.18668
UR - https://arxiv.org/abs/2608.18668
AB - The antineutronunicodex2013nucleus scattering length is currently known only indirectly, via antiprotonunicodex2013nucleus optical potentials fitted to level shifts and widths of antiprotonic atoms. The antineutronunicodex2013nucleus and antiprotonunicodex2013nucleus potentials are related to each other through charge symmetry. We calculate the scattering length from optical potentials proposed for antiprotonic atoms using nucleon density distributions as input. We find that the scattering length for an N>Z nuclide is largely affected by the poorly constrained neutron density distribution and by a possible isovector interaction, one of the mechanisms introduced to reproduce the isotope dependence of antiprotonic ^40,48Ca data. For ^48Ca, the isovector term modifies the scattering length by 0.3unicodex20130.4 fm (0.4unicodex20130.5 fm) for the real (imaginary) part, an order of magnitude beyond the uncertainty propagated from the isoscalar potential. As no antineutronunicodex2013nucleus scattering data are available below 76 MeV/c, a direct measurement with recently proposed low-energy antineutron beams would provide the first access to the antinucleonunicodex2013nucleus interaction in the s-wave regime.
ER -