TITLE

Relativistic interactions by means of boundary conditions: The Breit–Wigner formula

AUTHOR(S)
Moshinsky, M.; Laurrabaquio, G. López
PUB. DATE
December 1991
SOURCE
Journal of Mathematical Physics;Dec91, Vol. 32 Issue 12, p3519
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The relativistic generalization of the Breit–Wigner formula presented in this paper is not based on perturbative quantum field theory. Rather, it starts with two free Klein–Gordon or Dirac particles interacting only at the point of coincidence in space-time. This state has then two components, the two-particle one just mentioned and a single-particle one representing the compound system. From considerations of conservation of probability the boundary condition is derived relating the two-particle component at coincidence with the one-particle component of this state. From this boundary condition, the R and S matrices of the problems are obtained as well as a Breit–Wigner type of cross section. The present paper is restricted to a scalar compound particle so its spin is 0 and its parity +. In the concluding section, the generalization to one-point, but still Poincaré invariant, boundary conditions is mentioned. This generalization allows one to go to compound particles with arbitrary spin and parity and, in particular to the case 1- which may be of some practical interest.
ACCESSION #
9823563

 

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