Abstract

An angular distribution for $^{12}\mathrm{C}(\ensuremath{\alpha},\ensuremath{\alpha})^{12}\mathrm{C}$ near the center of a resonance can be fitted with any value for the real part of the resonating nuclear phase shift. This surprising result is in agreement with resonance theory and occurs because the elastic width of the resonance is \textonehalf{} of the total width. In general, in a phase-shift analysis the real part of the nuclear phase shift will be indeterminate whenever the inelastic parameter is zero.

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