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Angular-momentum constraints in the light-cone quantum mechanics of the nucleon-nucleon system

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Abstract

We show that in the framework of the light-cone quantum mechanics of the two-nucleon system the constraints due to angular-momentum conservation can be reconstructed from the requirement of Lorentz invariance of the on-mass-shell scattering amplitudes. We have reduced the problem to the analysis of the rotational invariance of a Lippmann-Schwinger type equation and we show that, under plausible assumptions, maintaining rotational invariance of the scattering amplitude requires the two-body potential to be rotationally invariant.

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Authors and Affiliations

  1. Leningrad Nuclear Physics Institute, Gatchina, SU-188350, Leningrad, USSR

    L. L. Frankfurt & M. I. Strikman

  2. Nicolaus Copernicus Astronomical Center, Bartycka 18, PL-00-716, Warsaw, Poland

    L. Mankiewicz

  3. Institute of Theoretical Physics, Warsaw University, Hoża 69, PL-00-681, Warsaw, Poland

    M. Sawicki

Authors
  1. L. L. Frankfurt
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  2. M. I. Strikman
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  3. L. Mankiewicz
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  4. M. Sawicki
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Work supported in part by Research Program CPBP 01.03

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Frankfurt, L.L., Strikman, M.I., Mankiewicz, L. et al. Angular-momentum constraints in the light-cone quantum mechanics of the nucleon-nucleon system. Few-Body Systems 8, 37–43 (1990). https://doi.org/10.1007/BF01079801

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  • DOI: https://doi.org/10.1007/BF01079801

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