The first excited states of ⁹Be and ⁹B

Abstract.

It is found here that the 1/2⁺ first excited state of ⁹Be is a virtual state with the energy of −23.5 KeV. The line shape for the excitation of the state is approximated with a simple analytic form based on the effective range expansion. The partner in ⁹B of this state is found to be a resonance with a maximum in the peak at about 1.1 MeV, FWHM of 1.5 MeV, and complex energy of 0.6 −i0.75 MeV. The line shape for its excitation is calculated in terms of the p−⁸Be phase shift. The phase shifts are obtained from N−⁸Be effective potentials deduced from the data on the photodisintegration of ⁹Be. A possibility for direct extraction of the energy of the resonant state from experimental data is also discussed, and an expression for a residue at a virtual state pole in terms of a quadrature taken over the virtual state eigenfunction is given.