Abstract
The average or centroid energy of the states into which an analog state mixes via the charge dependent Coulomb force is calculated. The calculation is based on the minimal assumption of the constancy of the density of nuclear matter inside a sphere. With this assumption, the kinetic and potential energy contributions to this average energy are given. The kinetic contribution is a multiple of the uncertainty energy of a nucleon confined to this sphere. The average potential energy term is shown to involve the fluctuations, propagated by the nuclear force, in the Coulomb field at a point. The potential energy is then calculated for the phenomenological Hamada-Johnston force for both central and tensor components. The contribution to this energy from a one-pion-exchange potential and from one-boson-exchange potentials are also discussed. The average potential energy of the states coupled to the analog is found to be much smaller than the average kinetic energy in these states. The reasons for the small potential contribution are discussed in detail.
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