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Author

S.A. Williams

Bio: S.A. Williams is an academic researcher. The author has contributed to research in topics: Nucleon & Constituent quark. The author has an hindex of 1, co-authored 1 publications receiving 2 citations.

Papers
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01 Jan 1984
TL;DR: The semirelativistic constituent quark model is used in conjunction with the resonating group method to obtain a nonlocal Schroedinger equation for the two-nucleon system and is presented explicitly and analytically.
Abstract: We use the semirelativistic constituent quark model in conjunction with the resonating group method to obtain a nonlocal Schroedinger equation for the two-nucleon system. As the quark-quark color exchange potential we use the lattice gauge theory result; the sum of the Breit potential and a linearly rising confining potential. Both the Breit potential and the quark kinetic energies are treated consistently to order ({ital v}/{ital c}){sup 2} in the quark speeds; however, we ignore relativistic corrections to the confining potential and to the kinetic energy of relative motion of the nucleons. We distinguish carefully between the exact formulation and the approximations we use to make the calculations tractable. We present the resulting nonlocal nucleon-nucleon Schroedinger equation explicitly and analytically.

2 citations


Cited by
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Journal ArticleDOI
01 Sep 1990
TL;DR: In this paper, a nuclear code based on the N-quark Schrodinger equation was proposed, which gives the binding energy and approximate ground state structure of a nucleus, dependent only on the number of protons and neutrons making it up.
Abstract: We propose a system of simple rules which give the binding energy and approximate ground state structure of a nucleus, dependent only on the number of protons and neutrons making it up. This “nuclear code” is based on theN-quark Schrodinger equation and uses ideas familiar from atomic chemistry. We demonstrate some of the important ramifications by computing the4He elastic form factor. The nuclear code performs better than its atomic counterpart.

2 citations

Journal ArticleDOI
TL;DR: In this paper, a simple Thomas-Fermi method for nuclear matter calculations is used to examine how well the non-local potential derived by Morley, Pursey and Williams from the constituent quark model can represent the actual interaction.
Abstract: A simple Thomas - Fermi method for nuclear matter calculations is used to examine how well the non-local potential derived by Morley, Pursey and Williams from the constituent quark model can represent the actual interaction. A strong net repulsion is found which grows rapidly with the nucleon size.

1 citations