Can I read Two-body Double Pole and Three-body Bound States: Physical and Unphysical Quark Masses on EtoBox?

Two-body Double Pole and Three-body Bound States: Physical and Unphysical Quark Masses by Timoteo, V. S.; van Kolck, U. is a scholarly article available to read on EtoBox.

What is Two-body Double Pole and Three-body Bound States: Physical and Unphysical Quark Masses about?

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 effective ranges in the two 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.

Author

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

Published

2023

Language

EN