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Properties of particle-unstable nuclei lying beyond the proton drip line canbe ascertained by considering those (usually known) properties of its mirrorneutron-rich system. We have used a multi-channel algebraic scattering theoryto map the known properties of the neutron-${}^{14}$C system to those of theproton-${}^{14}$O one from which we deduce that the particle-unstable${}^{15}$F will have a spectrum of two low lying broad resonances of positiveparity and, at higher excitation, three narrow negative parity ones. A keyfeature is to use coupling to Pauli-hindered states in the target.Comment: 5 pages, 3 figure

Predicting Narrow States in the Spectrum of a Nucleus beyond the Proton Drip Line