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

Abstract

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.

Authors:
 [1];  [1]
  1. Stanford Univ., CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1442899
Report Number(s):
SLAC-PUB-1289
Journal ID: ISSN 0556-2813; PRVCAN
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 9; Journal Issue: 2; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bollé, D., and Osborn, T. A. Angular momentum reduction for physical amplitudes in the three-body problem. United States: N. p., 1974. Web. doi:10.1103/PhysRevC.9.441.
Bollé, D., & Osborn, T. A. Angular momentum reduction for physical amplitudes in the three-body problem. United States. doi:10.1103/PhysRevC.9.441.
Bollé, D., and Osborn, T. A. Fri . "Angular momentum reduction for physical amplitudes in the three-body problem". United States. doi:10.1103/PhysRevC.9.441. https://www.osti.gov/servlets/purl/1442899.
@article{osti_1442899,
title = {Angular momentum reduction for physical amplitudes in the three-body problem},
author = {Bollé, D. and Osborn, T. A.},
abstractNote = {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.},
doi = {10.1103/PhysRevC.9.441},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 9,
place = {United States},
year = {1974},
month = {2}
}

Journal Article:
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