Two particles interacting via a contact interaction on
arXiv:2204.06263 · doi:10.1140/epja/s10050-022-00881-w
Abstract
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.
arXiv comment24 pages, 6 figures
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