Determination of Nuclear Radius Parameter from β + Transformation Energy of Mirror Nuclei

Abstract

In this study the values of the β+ disintegration energy is calculated using
the standard values of masses of mirror nuclei. These values are used to
plot a graph of β+
transformation energy against A2/3. The nuclear radius
parameter is determined from the slop of the graph as r0 = 1.23 × 10-15
m. The study then continues to compute the numerical values of the
Coulomb energy difference between mirror nuclei using BetheWeizsäcker mass formula. The nuclear radius parameter determined
from the Coulomb energy difference appears to have a mean value of r0
= 1.2368 × 10-15 m. These calculated values are in good agreement with
r0 = 1.2 × 10-15 m, measured from the experimental data by electron
scattering and μ-mesonic atoms. These results have shown that the
apparent discrepancy between the values for the nuclear charge
parameter derived from electron scattering and μ-mesonic atoms and
those derived from mirror nuclei experiments might not be attributed to
the use of classical principles. Thus, these developments in the
theoretical measurement for nuclear radius parameter from Coulomb
energy difference and β+ disintegration energy provide more accurate
results which can be used to improve model parameters.