TY - JOUR

T1 - Nonsingular integral equation for two-body scattering and applications in two and three dimensions

AU - Stoof, H.T.C.

AU - Goey, de, L.P.H.

AU - Rovers, W.M.H.M.

AU - Kop Jansen, P.S.M.

AU - Verhaar, B.J.

PY - 1988

Y1 - 1988

N2 - We introduce a new nonsingular scattering integral equation, which is suitable for the investigation of the total (also off-shell) transition matrix in arbitrary dimension n=2. In particular, the low-energy properties are derived and lead, in connection with spin-polarized atomic hydrogen H¿, to the low-temperature behavior of two- and three-body surface processes. In addition, for three dimensions the method leads in a natural way to a separable approximation to the T matrix for all energies, with the possibility of formulating a procedure for optimizing this approximation. To show the practicability of the equation we also present numerical results for both n=2 and n=3.

AB - We introduce a new nonsingular scattering integral equation, which is suitable for the investigation of the total (also off-shell) transition matrix in arbitrary dimension n=2. In particular, the low-energy properties are derived and lead, in connection with spin-polarized atomic hydrogen H¿, to the low-temperature behavior of two- and three-body surface processes. In addition, for three dimensions the method leads in a natural way to a separable approximation to the T matrix for all energies, with the possibility of formulating a procedure for optimizing this approximation. To show the practicability of the equation we also present numerical results for both n=2 and n=3.

U2 - 10.1103/PhysRevA.38.1248

DO - 10.1103/PhysRevA.38.1248

M3 - Article

VL - 38

SP - 1248

EP - 1257

JO - Physical Review A: General Physics

JF - Physical Review A: General Physics

SN - 0556-2791

IS - 3

ER -