Abstract
Excitation functions of isomeric yields have been measured for $^{198}\mathrm{Tl}$, $^{197}\mathrm{Hg}$, $^{198}\mathrm{Au}$, and $^{196}\mathrm{Au}$ produced by \ensuremath{\alpha}${+}^{197}$Au reactions in the 35--50 MeV energy range. The isomeric yield ratios are analyzed in terms of pre-equilibrium and evaporation emissions. Single as well as two-nucleon pre-equilibrium emissions are taken into account. Various combinations of pre-equilibrium and equilibrium emissions together with different sequences in which the ejectiles may be emitted are explicitly considered to evaluate the average spin distribution of the final nucleus. The choice of the spin cutoff parameter and the effect of forward-angle emissions of pre-equilibrium particles have been investigated. The isomeric yield ratios are found to depend sensitively on the pre-equilibrium angular distribution and on the spin cutoff parameter for equilibrium emissions. Inadequate description of the reaction mechanism leads to incorrect predictions of excitation functions as well as isomeric yield ratios.
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