000911077 001__ 911077 000911077 005__ 20221114130836.0 000911077 0247_ $$2arXiv$$aarXiv:2204.06263 000911077 0247_ $$2Handle$$a2128/32562 000911077 037__ $$aFZJ-2022-04403 000911077 088__ $$2arXiv$$aarXiv:2204.06263 000911077 1001_ $$0P:(DE-HGF)0$$aSchuh, Dominic$$b0$$eCorresponding author 000911077 245__ $$aTwo particles interacting via a contact interaction on $S^2$ 000911077 260__ $$c2022 000911077 3367_ $$0PUB:(DE-HGF)25$$2PUB:(DE-HGF)$$aPreprint$$bpreprint$$mpreprint$$s1668422444_11751 000911077 3367_ $$2ORCID$$aWORKING_PAPER 000911077 3367_ $$028$$2EndNote$$aElectronic Article 000911077 3367_ $$2DRIVER$$apreprint 000911077 3367_ $$2BibTeX$$aARTICLE 000911077 3367_ $$2DataCite$$aOutput Types/Working Paper 000911077 500__ $$a24 pages, 6 figures 000911077 520__ $$aWe 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. 000911077 536__ $$0G:(DE-HGF)POF4-5111$$a5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0 000911077 588__ $$aDataset connected to arXivarXiv 000911077 7001_ $$0P:(DE-Juel1)159481$$aLuu, Tom$$b1$$ufzj 000911077 8564_ $$uhttps://juser.fz-juelich.de/record/911077/files/2204.06263.pdf$$yOpenAccess 000911077 909CO $$ooai:juser.fz-juelich.de:911077$$popenaire$$popen_access$$pVDB$$pdriver$$pdnbdelivery 000911077 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)159481$$aForschungszentrum Jülich$$b1$$kFZJ 000911077 9131_ $$0G:(DE-HGF)POF4-511$$1G:(DE-HGF)POF4-510$$2G:(DE-HGF)POF4-500$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$9G:(DE-HGF)POF4-5111$$aDE-HGF$$bKey Technologies$$lEngineering Digital Futures – Supercomputing, Data Management and Information Security for Knowledge and Action$$vEnabling Computational- & Data-Intensive Science and Engineering$$x0 000911077 9141_ $$y2022 000911077 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000911077 9201_ $$0I:(DE-Juel1)IAS-4-20090406$$kIAS-4$$lTheorie der Starken Wechselwirkung$$x0 000911077 980__ $$apreprint 000911077 980__ $$aVDB 000911077 980__ $$aUNRESTRICTED 000911077 980__ $$aI:(DE-Juel1)IAS-4-20090406 000911077 9801_ $$aFullTexts