Effect of screening due to free mobile charges on the binding energy of an H(-)ion

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Hydrogen Ions, Negative Ions, Nuclear Binding Energy, Particle Interactions, Screen Effect, Charge Transfer, Hamiltonian Functions, Variational Principles

Scientific paper

Wildt (1939) has first pointed out the role of the negative hydrogen ion in the opacity of the atmosphere of the sun and of similar stars. The binding energy of an H(-) ion, defined as the energy required to remove one of the two electrons from the H(-) ion to infinity, is approximately 0.755 eV, which corresponds to a temperature of approximately 8755 K. This is somewhat higher than the temperature in the solar atmosphere. The current investigation is concerned with a calculation of the effect of screening due to the presence of other free mobile charged particles on the binding energy of an H(-) ion. It is assumed that the effective interactions between the constituents of the H(-) ion in the presence of other free mobile charged particles are described by Dingle (1955)-Mansfield (1956) potentials. The binding energy of H(-) ion is calculated as a function of the screening parameter using a variational approach.

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