Accession Number : AD0644991

Title :   ANALYTICITY PROPERTIES OF UNITARY INTEGRALS.

Descriptive Note : Research communication no. 19,

Corporate Author : DOUGLAS AIRCRAFT CO INC HUNTINGTON BEACH CALIF ADVANCED RESEARCH LAB

Personal Author(s) : Jacobsen,Donald A.

Report Date : DEC 1966

Pagination or Media Count : 58

Abstract : A general unitary integral is analytically continued, the purpose being to obtain the domain of holomorphy of the integral in terms of the domains of holomorphy of the amplitudes occurring in the integrand. The amplitudes are assumed to be analytic on Riemann domains whose structure is restricted only by certain assumptions found to be prerequisites for an analytic continuation of the unitary integral. The Riemann domains allow for the possibility of an infinite number of signularities of an arbitrary type, and natural boundaries may occur. The analytic continuation is carried out explicitly in terms of scalar variables. All difficulties associated with the use of scalar variables are resolved to give an analytic continuation paralleling that in momentum space. (Author)

Descriptors :   (*ANALYTIC FUNCTIONS, *INTEGRALS), (*ELECTROMAGNETIC RADIATION, *NUCLEAR SCATTERING), S MATRIX, TOPOLOGY, COMPLEX VARIABLES, MOMENTUM

Subject Categories : Nuclear Physics & Elementary Particle Physics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE