Abstract
It is shown that for the correct formulation of the pair-interaction approximation in the dynamical equations for a system of four and more particles in the various approaches of quantum field theory not only the sum of the pair-interaction potentials but also additional, “two-pair” kernels must be taken into account. Equations of two types with compact kernels that take into account these terms are obtained. The kernels of these equations are expressed in terms of the two-annd three-particle scattering amplitudes. The equations of the first type have a structure identical to their nonrelativistic analog, whereas the equations of the second type differ from the nonrelativistic equations even in the number of components. An advantage of these equations is that they can be generalized to the case of arbitrarily many particles.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
