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
SN - 0556-2791
VL - 38
SP - 1248
EP - 1257
JO - Physical Review A: General Physics
JF - Physical Review A: General Physics
IS - 3
ER -