Autor(es)

Timoteo, V. S. ; van Kolck, U.

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 852, p. 7-pg., 2024-04-10.

Resumo

We solve the Faddeev bound -state equations for three particles with simple two -body nonlocal, separable potentials that yield a scattering length twice as large as a positive effective range, as indicated by some lattice QCD simulations. Neglecting shape parameters, the two -body bound state is a double pole. For bosons we obtain a correlation between three- and two -body energies. For nucleons, this correlation depends additionally on the ratio of the effective ranges for the two -body S -wave channels. When this ratio takes the value suggested by lattice QCD, our three -body energy agrees well with a direct lattice determination. When this ratio takes the experimental value, we find a three -body bound state with energy close to that of the physical triton. We suggest that results could be improved systematically with distorted -wave perturbation theory around a separable potential whose form factor is an inverse square root of momentum squared. (AU)

• Processo FAPESP: 19/10889-1 - Efeitos dimensionais em sistemas fortemente interagentes
• Beneficiário: Varese Salvador Timoteo
• Modalidade de apoio: Auxílio à Pesquisa - Regular