Harmonic analysis on the timelike and spacelike hyperboloids. Application to inclusive reactions

Journal Article · Mon Oct 01 00:00:00 EDT 1973 · Nuovo Cimento, A

DOI:https://doi.org/10.1007/BF02786842· OSTI ID:4414672

Pasupathy, J.

The timelike and spacelike hyperboloids are homogeneous spaces with respect to the Lorentz group, viz. the quotient spaces SL_2,c SU₂ and SL_2,cSU_1,1. The scattering amplitude possesses suffici ent analyticity to continue from the tlmelike to the spacelike region. Starting from the harmonic analysis in the SU_1,1 basis for functions defined on the timelike sheet, with the aid of analytic continuation, the harmonic analysis is deduced for functions defined on the spacelike sheet in an SU₂ basis. The mathematical procedure is illustrated in detail by considering the three-body scattering amplitude, which is relevant for a discussion of inclusive reactions.

• Research Organization: Tata Inst. of Fundamental Research, Bombay
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-001506
• OSTI ID: 4414672
• Journal Information: Nuovo Cimento, A, Journal Name: Nuovo Cimento, A Journal Issue: 4 Vol. 17; ISSN 0369-3546
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

*INCLUSIVE INTERACTIONS-- SCATTERING AMPLITUDES
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTIC FUNCTIONS
LORENTZ GROUPS
SOMMERFELD-WATSON THEORY
SU GROUPS
THREE-BODY PROBLEM