Determining the -Nucleus Potential from the Measured Binding Energies of 15C
Abstract
The recent observation of the deeply bound - hypernucleus 15-C through the IRRAWADDY and KINKA events provided a crucial benchmark for determining the -nucleus interaction. This work aims to constrain the depth of this potential by calculating the binding energy B of the 15 C system, which forms a - -14 N bound state. We achieve this by numerically solving the Schroedinger equation for a hyperon 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 (B = 6.27 0.27 MeV) and the shallower 1-1 states (KISO/IBUKI events, B ≈ 1 MeV), respectively. Assuming 0 instead of -, we predict the ground state 0+ of 015N with (B0 = 2.636 MeV) by omitting the Coulomb interaction as a first approximation.
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