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arXiv · 2204.06263

Two particles interacting via a contact interaction on $S^2$

Dominic Schuh·Thomas Luu
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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.

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Dominic Schuh, Thomas Luu. 2022-04-13. Two particles interacting via a contact interaction on $S^2$. https://doi.org/10.1140/epja/s10050-022-00881-w

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