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Description of the Nucleon Wave Function as a Sum of Well-Chosen Gaussian Functions

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Abstract.

We study in detail the possibility of describing the nucleon (three-quark-system) wave function as a superposition of Gaussian functions. A Faddeev treatment including 8 amplitudes is performed and taken as reference for the exact values. Several approximations are proposed and compared carefully to the exact solutions. Three different potentials have been tested and several observables are considered.

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Authors and Affiliations

  1. Institut des Sciences Nucléaires, 53 Avenue des Martyrs, F-38026 Grenoble Cedex, France, , , , , , FR

    C. Roux & B. Silvestre-Brac

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  1. C. Roux
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  2. B. Silvestre-Brac
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Received July 18, 1994; revised November 3, 1994; accepted in final form January 9, 1995

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Roux, C., Silvestre-Brac, B. Description of the Nucleon Wave Function as a Sum of Well-Chosen Gaussian Functions. Few-Body Systems 19, 1–18 (1995). https://doi.org/10.1007/s006010050014

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  • DOI: https://doi.org/10.1007/s006010050014

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