Angular momentum reduction for physical amplitudes in the three-body problem

Journal Article · 01 February 1974 · Physical Review. C, Nuclear Physics

DOI: https://doi.org/10.1103/PhysRevC.9.441 · OSTI ID:1442899

Bollé, D. ^[1]; Osborn, T. A. ^[1]

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1. Stanford Univ., CA (United States)

We give here an approach to the angular momentum reduction that is tailed to be appropriate for the multichannel structure of the three-body problem. Wherever possible we work directly with the physical scattering amplitudes. We obtain concrete partial-wave expansions of elastic, rearrangement, and breakup amplitudes. For these amplitudes we obtain a coupled two-variable integral equation. The effects of parity, time reversal, and rotational invariance are fully discussed. Finally, we provide expressions for the multichannel partial-wave cross sections, asymptotic coordinate-space wave functions, off-shell unitarity, and the partial-wave version of the optical theorem as well as phase-shift parametrizations of the amplitudes.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 1442899
• Report Number(s): SLAC-PUB--1289
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 9; ISSN 0556-2813; ISSN PRVCAN
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English