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

Bollé, D.; Osborn, T. A.

doi:10.1103/PhysRevC.9.441

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

Journal Article · Fri Feb 01 00:00:00 EDT 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]

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

Alternate ID(s):: OSTI ID: 4301791

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

References (15)

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Figures / Tables (1)

Fig. 1(p. 47)

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