Form Factors for Proton Transfer Reactions to Unbound Isobaric Analog States

Abstract

Proton form factors for isobaric analog resonances populated directly as residual states in ($d,n$) and ($^{3}\mathrm{He},d$) reactions are discussed and computed explicitly using a Lane-model Hamiltonian and the formalism of Feshbach's unified reaction theory. The resonance form factors thus obtained are compared in specific cases with equivalent parent bound-state form factors and with single-particle resonance wave functions. Numerical results and tests using data are presented for $^{92}\mathrm{Mo}(d,n)^{93}\mathrm{Tc}^{A}$, and it is shown that resonance form factors lead to a dramatic enhancement of the magnitude of the calculated cross section for some transitions, compared with calculations using conventional form factors. Such enhancements are consistent with the available data.