This title appears in the Scientific Report :
2022
Please use the identifier:
http://hdl.handle.net/2128/32562 in citations.
Two particles interacting via a contact interaction on $S^2$
Two particles interacting via a contact interaction on $S^2$
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 resu...
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Personal Name(s): | Schuh, Dominic (Corresponding author) |
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Luu, Tom | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 |
Imprint: |
2022
|
Document Type: |
Preprint |
Research Program: |
Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups |
Link: |
OpenAccess |
Publikationsportal JuSER |
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. |