The ABC model for Ω^-np system

In the framework of the Faddeev equations in configuration space, we investigate the Ω^-NN system using different versions of the attractive Ω^-N ⁵S₂ potentials derived by the HAL QCD Collaboration. We perform calculations of the binding energy and ground state characteristics for the particle configuration Ω^-np (J^π = 5/2⁺) within two models: the ABC model, in which all three particles are distinguishable due to the Coulomb interaction in the pair BC, and the AAC model when two particles (nucleons) are identical when the Coulomb force is omitted. There are some discrepancies in AAC calculations for the binding energy of the Ω^-NN system within different theoretical approaches. We evaluated the effect of the Coulomb force within the ABC model and compared with the AAC Faddeev calculations in momentum and coordinate spaces and variation method [1,2,3]. We found that the Coulomb energy shifts in three-body binding energy is about 0.9 MeV. At the same time, the effect of the Coulomb potential on the particle distribution in the Ω^-np is insignificant and does not violate symmetry of the particle distribution evaluated by root-mean-square distances.

1. H. Garcilazo, A. Valcarce, Phys. Rev. C 99, 014001 (2019).

2. L. Zhang, S. Zhang, Y.-G. Ma, Eur. Phys. J. C 82(5) (2022)

3. F. Etminan, Z. Sanchuli, M. M. Firoozabadi, Nucl. Phys. 1033, 122639 (2023)