Primary singularities, asymptotic wave functions and unitarity in the three- body problem

Journal Article · Mon Oct 01 00:00:00 EDT 1973 · Phys. Rev., C, v. 8, no. 4, pp. 1198-1210

DOI:https://doi.org/10.1103/PhysRevC.8.1198· OSTI ID:4364526

Osborn, T A; Bolle, D

This paper studies the singular pole structure present in the momentum space three-body-scattering wave functions. We prove that this structure alone is entirely responsible for the asymptotic behavior in coordinate space. We are also able to prove, without further assumptions, that the residues of each of the singularities in the wave function must be physical scattering amplitudes. We extend our study of these primary poles in three-body physics by using the singularity structure to obtain a derivation of the on-shell unitarity relations. (auth)

• Research Organization: Department of Physics, Brooklyn College of the City University of New York, Brooklyn, New York, 11210
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-014520
• OSTI ID: 4364526
• Journal Information: Phys. Rev., C, v. 8, no. 4, pp. 1198-1210, Other Information: Orig. Receipt Date: 30-JUN-74
• Country of Publication: United States
• Language: English

Related Subjects

N76100* -Physics (Theoretical)-General
*THREE-BODY PROBLEM- WAVE FUNCTIONS
BOUNDARY CONDITIONS
CROSS SECTIONS
FADDEEV EQUATIONS
PHASE SPACE
SINGULARITY