Angular momentum effects in the -nn bound-state problem

The possible existence of stable bound states of two neutrons and a negative pion is investigated in all three-body channels with angular momentum J2, by solving the relativistic Faddeev equations at threshold with all the S- and P-wave pion-nucleon channels and all the S-, P-, and D-wave nucleon-nucleon channels as input. It is shown that the most likely configuration to have in a bound state is that with angular momentum and parity quantum numbers JP=2+.