Angular momentum reduction in the fourbody problem
Abstract
A complete angular momentum analysis of the integral equations of motion for four identical spinless particles is given. After separation of the variables associated with rotation, the equations of motion take the form of an infinite set of coupled integral equations in three continuous variables. In general, the fourparticle kinematic factors in the integral kernels are expressed as bilinear combinations of factors of the threeparticle kinematic factors type. For the case of a separable twoparticle interaction the equations obtained are simplified so that they are reduced to coupled integral equations in two continuous variables.
 Publication:

Czechoslovak Journal of Physics
 Pub Date:
 March 1977
 DOI:
 10.1007/BF01587359
 Bibcode:
 1977CzJPh..27..255K
 Keywords:

 Angular Momentum;
 Equations Of Motion;
 Four Body Problem;
 Particle Interactions;
 Particle Motion;
 Integral Equations;
 Kernel Functions;
 Kinematics;
 Nuclear Physics;
 Quantum Mechanics;
 Nuclear and HighEnergy Physics