Mathematical operator of Dirac delta function and the calculation of nucleon density distributions of some light nuclei


An analytical expression for the nucleon density distributions is derived based on the use of occupation numbers of the states and the single particle wave functions of the harmonic oscillator potential with size parameters chosen to reproduce the observed root mean square radii for all considered nuclei. The derived expression has been employed for calculating the nucleon density distributions. Considering the higher shells leads to reproduce remarkable agreement between the calculated and experimental results of the nucleon density distributions throughout the whole range of