Artículos de revistas
LOW-ENERGY BEHAVIOR OF FEW-PARTICLE SCATTERING-AMPLITUDES IN 2 DIMENSIONS
Fecha
1992-10-01Registro en:
Physical Review A. College Pk: American Physical Soc, v. 46, n. 7, p. 3967-3977, 1992.
1050-2947
10.1103/PhysRevA.46.3967
WOS:A1992JV10900053
WOSA1992JV10900053.pdf
8031087349809439
Autor
UNIV SYDNEY
Universidade Estadual Paulista (Unesp)
Institución
Resumen
A study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t-matrix elements tend to zero as the energy and momentum variables tend to zero. The multiple-scattering series is used to show that the connected three-to-three amplitudes diverge in the low-energy-momentum limit. Unitarity relations are used to show that the connected two-to-three and one-to-three amplitudes have specific logarithmic singularities at the m-particle breakup threshold. The subenergy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of ph cal interest.