Unimolecular resonance Feshbach

The theory of isolated resonances is well understood and is discussed below. Mies and Krauss [79, ] and Rice [ ] were pioneers m treating unimolecular rate theory in temis of the decomposition of isolated Feshbach resonances. 

The problem of unimolecular decomposition into one or several continua via simultaneous direct and resonance-mediated routes is conveniently formulated within Feshbach s partitioning framework [56]. Following Refs. 29 and 31, we partition the scattering eigenstate into its bound and continuum projections as... 

The theory of isolated resonances is well understood and is discussed below. Some initial work has been done on the theory of overlapping resonances (Remade et al., 1989 Desouter-Lecomte and Culot, 1993 Someda et al., 1994a,b) and its relation to experiment (Reid et al., 1994). Much of the research of overlapping resonances has its origins in nuclear physics, where the dissociation of a compound nucleus is treated (Ericson, 1960, 1963 Satchler, 1990 Rotter, 1991). For example, fluctuations in product state populations, called Ericson fluctuations (Satchler, 1990 Rotter, 1991), may arise from coherent excitation of overlapping resonances. However, more work needs to be done to develop a complete theory of overlapping resonances and this topic is not discussed here. Mies and Krauss (1966, 1969) and Rice (1971) were pioneers in treating unimolecular rate theory in terms of the decomposition of isolated Feshbach resonances. 

Several theoretical studies have related resonance widths and the unimolecular rate constant for overlapping resonances.The following discussion focuses on studies based on the random matrix version of Feshbach s optical model,especially the results of Peskin et al ... 

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