Properties of the Odd-Mass Iodine Isotopes in a Particle-Phonon Coupling Scheme

A qualitative description of the low-lying states of odd-mass iodine nuclei is proposed in terms of a three-proton cluster coupled to a harmonic-quadrupole vibrational field. Using reasonable values for the parameters involved, the calculated spectrum of ${}_{}{}^{131}{}_{}{}^{}\mathrm{I}$ is in good agreement with experimental data. The comparison with experiments is also satisfactory for the one-body stripping strengths, $B\left(E2\mathrm{}\right)\mathrm{}$ transition probabilities, and magnetic-dipole and electric-quadrupole moments. We do not obtain good results concerning the energies of the lightest I isotopes.