Determining the Ξ-Nucleus Potential from the Measured Binding Energies of ¹5_Ξ^C

2025/10/09 by Paing Thit Nyein, Nyein, Paing Thit, Kyaw Kyaw Naing +7
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2510.08077

Abstract

The recent observation of the deeply bound Ξ- hypernucleus 15Ξ-C through the IRRAWADDY and KINKA events provided a crucial benchmark for determining the Ξ-nucleus interaction. This work aims to constrain the depth of this potential by calculating the binding energy BΞof the 15ΞC system, which forms a Ξ- -14 N bound state. We achieve this by numerically solving the Schroedinger equation for a Ξhyperon within a phenomenological Woods-Saxon potential, using the stable Numerov method, incorporating the Coulomb interaction. For a potential well depth V0 = 12 MeV, our calculations yield a 0+1 state binding energy of 6.35 MeV and a 1-1 state energy of 0.87 MeV. These results are in excellent agreement with the IRRAWADDY event (BΞ= 6.27 ± 0.27 MeV) and the shallower 1-1 states (KISO/IBUKI events, BΞ≈ 1 MeV), respectively. Assuming Ξ0 instead of Ξ-, we predict the ground state 0+ of Ξ015N with (BΞ0 = 2.636 MeV) by omitting the Coulomb interaction as a first approximation.

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