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@ARTICLE{Schuh:911077,
      author       = {Schuh, Dominic and Luu, Tom},
      title        = {{T}wo particles interacting via a contact interaction on
                      ${S}^2$},
      reportid     = {FZJ-2022-04403, arXiv:2204.06263},
      year         = {2022},
      note         = {24 pages, 6 figures},
      abstract     = {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.},
      cin          = {IAS-4},
      cid          = {I:(DE-Juel1)IAS-4-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2204.06263},
      howpublished = {arXiv:2204.06263},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2204.06263;\%\%$},
      url          = {https://juser.fz-juelich.de/record/911077},
}