Nucleon-nucleon interaction: A typical/concise review

Naghdi, M.

doi:10.1134/s1063779614050050

Cited by 41 publications

(33 citation statements)

References 248 publications

(488 reference statements)

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“…The short range nucleon interactions is usually treated in the terms of quarks and gluons nowadays (see, e.g. the review [15]). It was found in [16] that this interaction is due mostly to the Pauli principle for the quarks in the six-quark system.…”

Section: Introductionmentioning

confidence: 99%

Three nucleon forces in nuclear matter in QCD sum rules

2017

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We calculate the single-particle nucleon characteristics in symmetric nuclear matter with inclusion of the 3N interactions. The contributions of the 3N forces to nucleon self energies are expressed in terms of the nonlocal scalar condensate (d = 3) and of the configuration of the four-quark condensates (d = 6) in which two daiquiri operators act on two different nucleons of the matter. The most important part of the contribution of the four-quark condensate is calculated in a model-independent way. We employed a relativistic quark model of nucleon for calculation of the rest part. The density dependence of the vector and scalar nucleon self energies and of the single-particle potential energy are obtained. Estimations on contributions of the 4N forces to the nucleon self energies are made.

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Section: Introductionmentioning

confidence: 99%

Three nucleon forces in nuclear matter in QCD sum rules

2017

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“…For the nucleon‐nucleon interaction potential, it is assumed that v ss ′( r , r ′) = v ss ′(| r − r ′|). That is, interaction energy depends only on the distance separating two particles, and it is expected to contain both an attractive and a repulsive domain so that there is an optimal interparticle distance for the interaction . A two‐term Yukawa potential was selected,

v_{s s^{'}} ((), |r - {boldr}^{'}|) = \frac{v_{r}}{γ_{r}} \frac{e^{- γ_{r} ∣ r - {boldr}^{'} ∣}}{∣ boldr - r^{'} ∣} - \frac{v_{a}}{γ_{a}} \frac{e^{- γ_{a} ∣ r - {boldr}^{'} ∣}}{∣ boldr - r^{'} ∣},

where v r and v a are intensity parameters, and γ a = 1/ r a and γ r = 1/ r r , such that r a and r r represent a measure of the nuclear force domain …”

Section: Methodsmentioning

confidence: 99%

“…These kinds of calculations have a long history. Schemes such as Hartree‐Fock and density functional theory have been used, combined with nucleon‐nucleon potentials . Among these potentials is the celebrated Yukawa potential .…”

Section: Introductionmentioning

confidence: 99%

A generalized any‐particle propagator theory: Calculations of nucleon's binding energies

González-Ramírez

Flores‐Moreno

2019

Int J of Quantum Chemistry

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Generalized one‐particle propagator calculations were performed for fermions in atoms: neutrons, protons, and electrons. For this purpose, multicomponent Hartree‐Fock equations were implemented using Gaussian basis sets where, for nucleons, we consider a non‐Coulombic interaction, through a two‐term Yukawa scalar potential and the interaction between electrons and the electrons with positive charge (protons) through a Coulombic potential. The strategy for evaluating the required interaction integrals follows Obara‐Saika and Head‐Gordon recurrence relations combined with the generalized Boys function suggested by Ten‐no. Calculations on the isotopes 2H, 3H, 3He, 4He, 6Li, 6Be, 7Li, and 8Be were realized to test the accuracy of Koopmans' approximation and a second‐order generalized one‐particle propagator. Yukawa potentials were parametrized to reproduce nuclear properties as kinetic energies and radial distributions of density. These potentials produced the reference nuclear Hartree‐Fock calculations on which fully ab initio propagator calculations were performed for these non‐Coulombic potentials. This allowed us to explore the electronic structure of isotopes in an extended nucleus context.

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“…It is true that this approach is not (yet?) customary in the physics community; nevertheless it is worth noting that the deuteron wave function -ground state ψ of the two-nucleon system -is known experimentally with extreme precision while on the other hand realistic nucleon-nucleon potentials V are obtained only with considerable effort [60].…”

Section: Quantum Mechanics In Terms Of the Ground Statementioning

confidence: 99%