Abstract
The antinucleon-nucleon (N¯N) potential, in isospin I=0 states, contains a strong tensor component which is a coherent sum of contributions from different meson exchanges. The large mixing of L=J1 and L=J+1 orbital momenta induced by the tensor potential can produce I=0 high-spin states (3, 4+, 5) relatively near to the N¯N threshold.