Simple nuclear mass formula

A simple formula for ground state nuclear masses based on the microscopic-macroscopic approach is proposed. Considering a set of 2353 nuclei with $Z\ge 8$ and $N\ge 8$, the formula yields an rms deviation of just 266 keV. A few applications, including the loosely bound proton rich nuclei, superheavy nuclei, and cluster emitters, are presented and discussed, establishing the reliability of the proposed formula. The present investigation has a major advantage: it allows one to reliably parametrize the fluctuating part of the ground state energy. This result is very interesting and important, since the fluctuating part of the energy is related directly to the trace formula, which in turn encodes the interaction itself.

Figure 1

Difference between the calculated and the experimental [21] binding energies.

Figure 2

Calculated and experimental $S_{1n}$ values [21] for Gd isotopes.

Figure 3

Calculated and experimental $S_{2n}$ values [21] for Gd isotopes.