TY  - EJOUR
AU  - Schuh, Dominic
AU  - Luu, Tom
TI  - Two particles interacting via a contact interaction on $S^2$
IS  - arXiv:2204.06263
M1  - FZJ-2022-04403
M1  - arXiv:2204.06263
PY  - 2022
N1  - 24 pages, 6 figures
AB  - 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.
LB  - PUB:(DE-HGF)25
UR  - https://juser.fz-juelich.de/record/911077
ER  -