| Full text | |
| Author(s): |
Timoteo, V. S.
;
van Kolck, U.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Physics Letters B; v. 852, p. 7-pg., 2024-04-10. |
| Abstract | |
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) | |
| FAPESP's process: | 19/10889-1 - Dimensional effects in strongly interacting systems |
| Grantee: | Varese Salvador Timoteo |
| Support Opportunities: | Regular Research Grants |