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Ritson, D.

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Fermi-Teller Theory of Low Velocity Ionization Losses Applied to Monopoles

Recently there has developed a renewed interest in the ionization losses of slow monopoles. An excellent summary of the literature is contained in a paper of Ahlen and Kinoshital (hereafter referred to as A.K.). A.K. have derived lower bounds for the ionization losses of a slow monopole passing through matter. However, they neglected the effects of an energy gap, in insulating materials, on the excitation of atomic electrons. Using the Thomas-Fermi statistical model of atomic wave functions, we have calculated lower bounds for ionization losses in "insulators" including effects due to an energy gap. The Fermi-Teller theory 2 (hereafter referred-to as F.T.) was originally used to predict the stopping, by ionization losses, of slow charged particles in materials. The theory is based on a calculation of the energy lost to a uniform "Fermi sea". However, the authors note that the actual "Fermi velocity" cancels out in the derivation. Therefore their calculated results also apply to a "Thomas-Fermi" atom, in which each volume element is considered to be a Fermi sea filled to the top of the potential well with atomic electrons.

Ritson, D.↗

Nonplanar Machines

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Ritson, D.↗