Coulomb energies and the shell model

Phenomenological shell-model Coulomb energy equations with coefficients varying as A-1/3 are considered. The highly regular systematics of Coulomb displacement energies is presented and discussed. In a global fit with 22 adjustable parameters the equations reproduce 377 displacement energies with a standard deviation of 55 keV. The relations to other shell-model equations are discussed. The numerical values of the adjusted coefficients are related to the charge radius and deformation parameters of the liquid drop model. The calculation of total Coulomb energies for ground states is considered.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/28349/1/0000110.pd