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

L. L. Frankfurt; Mark Strikman; L. Mankiewicz; M. Sawicki

doi:10.1007/BF01079801

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

L. L. Frankfurt, Mark Strikman, L. Mankiewicz, M. Sawicki

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3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	37-43
Number of pages	7
Journal	Few-Body Systems
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/BF01079801
State	Published - Jun 1 1990

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1007/BF01079801

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title = "Angular-momentum constraints in the light-cone quantum mechanics of the nucleon-nucleon system",

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.",

author = "Frankfurt, {L. L.} and Mark Strikman and L. Mankiewicz and M. Sawicki",

year = "1990",

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doi = "10.1007/BF01079801",

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T1 - Angular-momentum constraints in the light-cone quantum mechanics of the nucleon-nucleon system

AU - Frankfurt, L. L.

AU - Strikman, Mark

AU - Mankiewicz, L.

AU - Sawicki, M.

PY - 1990/6/1

Y1 - 1990/6/1

N2 - 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.

AB - 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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U2 - 10.1007/BF01079801

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JO - Few-Body Systems

JF - Few-Body Systems

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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