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Journal ArticleDOI

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

01 Jul 1997-Journal of Physics G (IOP Publishing)-Vol. 23, Iss: 7, pp 837-845
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.
Citations
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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

References
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Journal ArticleDOI
TL;DR: A generalised Fermi-Thomas method, in which K -matrices are used to obtain the potential energy, is used to calculate the energies and density distributions of nuclei for all mass values.

15 citations

Journal ArticleDOI
TL;DR: In this paper, the deuteron electromagnetic form factors based on the quark cluster model were derived from a microscopic quark Hamiltonian with the help of the Resonating Group Method.
Abstract: The study of the deuteron electromagnetic form factors based on the quark cluster model is reviewed. The deuteron wave function is derived from a microscopic quark Hamiltonian with the help of the Resonating Group Method. One-pion and one-gluon exchange potentials are included in addition to a quadratic confinement potential. The photon is coupled directly to the quarks. Aside from the one-body impulse current, pion and gluon exchange currents are included on the quark level. Due to the Pauli principle on the quark level, new electromagnetic currents arise which are not present on the nucleon level. These currents, called quark exchange currents, describe processes in which a photon couples to a quark or a pair of quarks interacting via gluon or pion exchange and which are accompanied by a simultaneous quark interchange between the two threequark clusters (nucleons). They are small for low momentum transfers but appreciably influence the electromagnetic structure of the deuteron beyond a momentum transfer of q=5 fm−1. The discussion is extended to the magnetic moments of 15N, 17O and 39K by introducing the quark exchange currents as effective operators on the nucleon level. The quark exchange currents written in terms of nonlocal and spin-isospin dependent nuclear operators are effective only at short distances. They are evaluated with shell-model (harmonic oscillator) wave functions including the (short-range) Brueckner correlations. The Bethe-Goldstone equation is solved with our effective NN potential, which is derived from a microscopic quark Hamiltonian. The quark exchange currents shift the isovector magnetic moment of 39K by −20% from its Schmidt value.

13 citations

Journal ArticleDOI
TL;DR: The approximations involved in obtaining a Fermi-Thomas type of theory for nuclei are related to the structure of the single-particle density matrix, and cases of both uniform and varying density are discussed in this article.

7 citations

Journal ArticleDOI
TL;DR: In this article, the nonlocal Schrodinger equation for the two-nucleon potential derived from the interaction between constituent quarks is applied to calculating the ground state properties of the deuteron, using quark parameters consistent with single baryon data.
Abstract: The nonlocal Schr\"odinger equation for the two-nucleon potential derived from the interaction between constituent quarks is applied to calculating the ground state properties of the deuteron, using quark parameters consistent with single baryon data. We conclude that the two-nucleon nonlocal equation affords a very decent description of the deuteron.

5 citations

Journal ArticleDOI
TL;DR: In this paper, the semirelativistic constituent quark model was combined with the resonating group method to obtain a nonlocal Schroedinger equation for the two-nucleon system.
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.

3 citations