Resonance State Energies and Lifetimes Via Analytic Continuation of Stabilization Graphs

摘要

This paper determines the lifetimes of three chemical reaction resonance states by analytically continuing real-valued stabilization graphs into the complex-energy plane. Extending the method developed by Simons in 1981, we estimate the widths of the resonances by fitting the stabilization graphs to a two-branched quadratic equation whose coefficients are polynomials in the real-scaling parameter alpha. We also study what criteria affect the quality of the resonance-state lifetime and develop a systematic procedure that could be followed to determine such lifetimes.