Spins of proton capture resonances in ${}_{}{}^{26}{}_{}{}^{}\mathrm{Al}$ and ${}_{}{}^{30}{}_{}{}^{}\mathrm{P}$ from their gamma-ray spectra

The method of multidimensional scaling has been applied to sets of proton capture γ-ray spectra in ${}_{}{}^{26}{}_{}{}^{}\mathrm{Al}$ and ${}_{}{}^{30}{}_{}{}^{}\mathrm{P}$, allowing the attribution of spins to a number of resonances in each nucleus. The utility of this method of simultaneous comparison of many resonance decay branching patterns appears to depend on the variety of final state spins. In the case of ${}_{}{}^{26}{}_{}{}^{}\mathrm{Al}$, where the spin discrimination is good, some selectivity by parity and isospin also occurs.