we assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the dirac matrices. then by making use of a suitable ansatz, the dirac equation has a very simple solution which is exact. we then have calculated the static properties of the nucleon in the ground...

The effective interactions between two nuclear clusters, $d+d$, $t+t$, and $\alpha+\alpha$, are investigated within a cluster model using local nucleon-nucleon~($NN$) forces. It is shown that the interaction in spin-aligned $d+d$ system repulsive for all inter-cluster distances, whereas $\alpha+\alpha$ $t+t$ systems attractive at intermediate distances. Pauli blocking identical-nucleon pairs re...

Using Dyson–Schwinger equations, the nucleon propagator is analyzed nonperturbatively in a field–theoretical model for the pion–nucleon interaction. Infinities are circumvented by using pion–nucleon form factors which define the physical scale. It is shown that the correct, finite, on–shell nucleon renormalization is important for the value of the mass–shift and the propagator. For physically a...

The equivalence of subtractively renormalized and cut-off effective field theories is demonstrated for the example of very low energy effective field theory for the nucleon-nucleon interaction. 03.65.Nk, 11.10.Gh, 12.39.Fe, 13.75.Cs. Typeset using REVTEX 1

Effective field theory (EFT) approach, which shed new light on the methodology of nuclear physics, was used to reformulate the parity-violating (PV) nucleon-nucleon (NN) interaction recently,1 and the potential has been applied to a few two-nucleon problems.2,3 The PV two-pion-exchange (TPE) contribution to physical observables turned out to be non-negligible, but was not so significant as the ...