The ABC model for the Ω−np system with lattice HAL QCD and Yukawa potentials produces low-energy characteristics differing from prior AAC calculations, with the Coulomb force exerting only marginal perturbative effects and binding driven by short-range ΩN behavior.
Cluster reduction of the four-body Yakubovsky equations in configuration space for bound-state problem and low-energy scattering
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abstract
A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is proposed. This expansion reduces the Yakubovsky differential equations to a system of coupled-channel equations for functions depending on the relative coordinates between the subsystems of the two-cluster partitions. On the basis of the resulting equations the four-nucleon bound-state problem and the zero-energy n-t scattering problem are solved on the relatively small computer.
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Examination of the lattice QCD-motivated strong attractive $\Omega N$ potentials in the $\Omega^- n p$ system
The ABC model for the Ω−np system with lattice HAL QCD and Yukawa potentials produces low-energy characteristics differing from prior AAC calculations, with the Coulomb force exerting only marginal perturbative effects and binding driven by short-range ΩN behavior.