https://doi.org/10.1140/epja/s10050-022-00881-w
Regular Article - Theoretical Physics
Two particles interacting via a contact interaction on 
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, 53115, Bonn, Germany
2
Institut für Kernphysik and Institute for Advanced Simulation, Forschungszentrum Jülich, 54245, Jülich, Germany
Received:
9
August
2022
Accepted:
2
November
2022
Published online:
21
November
2022
We consider two particles interacting via a contact interaction that are constrained to a sphere, or . We determine their spectrum to arbitrary precision and for arbitrary angular momentum. We show how the non-inertial frame leads to non-trivial solutions for different angular momenta. Our results represent an extension of the finite-volume Lüscher formulas but now to a non-trivial geometry. We apply our results to predict the spectrum of select two-nucleon halo nuclei and compare with experimental results.
© The Author(s) 2022
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