Abstract
The first-order approximation to the partial annihilation rate in a hypothetical monovalent metal having a nonspherical Fermi surface has been evaluated numerically by utilizing a many-body theory associated with the two nearly-free-electron bands. The nonsphericity was introduced by a pair of zone faces to which the Fermi surface is attracted to from pair of short necks. The rotational symmetry around the reciprocal-lattice vectors relevant to those zone faces was also assumed. The result gives higher enhancement of the partial annihilation rates of the neck electrons than that of the other ones. A careful examination of the present computation shows that the higher enhancement is attributable to the smaller gradients of the change in energy near the necks. Similar effects may be found also in more general cases.
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