On the liquid drop model mass formulas and decay of the heaviest nuclei

The coefficients of different macro-microscopic Liquid Drop Model mass formulas have been determined by a least square fitting procedure to 2027 experimental atomic masses. A rms deviation of 0.54 MeV can be reached. The remaining differences come mainly from the determination of the shell and pairing energies. Extrapolations are compared to 161 new experimental masses and to 656 mass evaluations. The different fits lead to a surface energy coefficient of around 17-18 MeV. Finally, decay potential barriers are revisited and predictions of decay half-lives of still unknown superheavy elements are given from previously proposed analytical formulas and from extrapolated Q values.