ELECTRON LIQUID IN COLLECTIVE DESCRIPTION .4. PROTON IN AN ELECTRON-GAS

For pt.III see ibid., vol.12, p.L161 (1979). The authors apply the boson formalism to treat the problem of a proton in an interacting electron gas. Numerical results for the relaxation energy and the proton momentum probability distribution as well as for the induced charge density around the proton are presented. The results for the relaxation energy are lower and for the induced electron densities higher than those obtained earlier by the density-functional formalism. The energy forms a monotonic function of the density parameter r s and for high rs approaches the correct limiting value, i.e. the ground-state energy of the negative hydrogen ion. This limiting energy is obtained with an accuracy of 0.1%.