Preprint

FZJ-2022-04403

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Two particles interacting via a contact interaction on $S^2$

Schuh, D. (Corresponding author) ; Luu, T.FZJ*

2022

This record in other databases:

Please use a persistent id in citations: http://hdl.handle.net/2128/32562

Report No.: arXiv:2204.06263

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.

Note: 24 pages, 6 figures

---

Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2022

---

Database coverage:

---