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Relativistic cluster dynamics of nucleons and mesons. I. Kinematics and covariance
Phys. Rev. C 47, 1237 – Published 1 March, 1993
DOI: https://doi.org/10.1103/PhysRevC.47.1237
Abstract
A time-ordered relativistic scattering theory for nucleons and mesons based on clusters rather than individual particles is derived. The S-matrix-type approach provides a recursive hierarchy of Lippmann-Schwinger equations, each describing the dynamical evolution of two-cluster configurations at different levels of the many-body problem. The presentation is restricted to a fixed number of particles; particle absorption and creation are treated in part II. The main concern here are the kinematic aspects of the problem. It is shown that the on-shell results of the formalism are covariant, without requiring negative-energy antiparticle contributions. This is achieved by constructing off-shell T matrices as invariants under a set of energy and momentum transformations which reduce to Lorentz transformations for on-shell energies. The present relativistic formulation is formally equivalent to a previously given nonrelativistic N-body approach.
See Also
Relativistic cluster dynamics of nucleons and mesons. II. Formalism and examples
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