We formulate a method to solve the coordinate space Faddeev equations for positive energies. The method employs hyperspherical coordinates and analytical expressions for the effective potentials at large distances. Realistic computations of the parameters of the resonances and the strength functions are carried out for the Borromean halo nucleus ${}^6\mathrm{He}$ $(n+n+\alpha )$ for $J^{\pi }{=0\mathrm{}}^{\pm }{,1\mathrm{}}^{\pm }{,2\mathrm{}}^{\pm }$.

• Received 9 May 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.2411