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 ...

In this paper, we obtain the existence of positive critical point with least energy for a class functionals involving nonlocal and supercritical variable exponent nonlinearities by applying variational method approximation techniques. We apply our results to Schrödinger–Poisson type systems Kirchhoff equations exponent, respectively.

We investigate the collective coordinate quantization of the icosahedrally symmetric B = 7 Skyrmion, which is known to have a ground state with spin 7 2 and isospin 1 2 . We find a particular quantum state maximally preserving the symmetries of the classical solution, and also present a novel relationship between the quantum state and the rational map approximation to the classical solution. We...