%0 Electronic Article
%A Schuh, Dominic
%A Luu, Tom
%T Two particles interacting via a contact interaction on $S^2$
%N arXiv:2204.06263
%M FZJ-2022-04403
%M arXiv:2204.06263
%D 2022
%Z 24 pages, 6 figures
%X We consider two particles interacting via a contact interaction that are constrained to a sphere, or $S^2$. 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 L\'uscher 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.
%F PUB:(DE-HGF)25
%9 Preprint
%U https://juser.fz-juelich.de/record/911077