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.

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.

Application of the constituent quark nucleon - nucleon interaction to nuclear matter

Constituent quark model of the nucleon-nucleon interaction. 1. general formalism

http://iopscience.iop.org/article/10.1088/0954-3899/23/7/008/pdf

Potentials with both local and nonlocal parts which reproduce 1S0 phase-shifts almost exactly and remove the knoll in the purely local potential almost completely have been proposed by Kermode and McKerrell (see ibid., vol.1, p.623 (1975)). These potentials are used here in nuclear matter calculations and the results obtained are compared with those calculated from purely local potentials.

Application of the constituent quark nucleon - nucleon interaction to nuclear matter

Citations

Constituent quark model of the nucleon-nucleon interaction. 1. general formalism

References

Nuclear matter calculations using some nonlocal 1S0 p-p potentials

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