The low energy scattering of heavy positively charged particles on hydrogen
atoms (H) are investigated by solving the Faddeev equations in configuration
space. A resonant value of the pH scattering length, a=750±5 a.u., in the
pp antisymmetric state was found. This large value indicates the existence of a
first excited state with a binding energy B=1.14×10−9 a.u. below the
H ground state. Several resonances for non zero angular momenta states are
predicted.Comment: 8 pages, 9 figures, contribution to International Workshop "Dynamics
and structure of critically stable quantum few-body systems" held at Les
Houches, France, October 8-13, 2001. To appear in Few-Body Physic