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We describe electromagnetic and favored \alpha-transitions to rotationalbands in odd-mass nuclei built upon a single particle state with angularmomentum projection $\Omega=\frac{1}{2}$ in the region $88 \le Z \le 98$. Weuse the particle coupled to an even-even core approach described by theCoherent State Model (CSM) and the coupled channels method to estimate partial$\alpha$-decay widths. We reproduce the energy levels of the rotational bandwhere favored $\alpha$-transitions occur for 26 nuclei and predict B (E2)values for electromagnetic transitions to the bandhead using a deformationparameter and a Hamiltonian strength parameter for each nucleus, together withan effective collective charge depending linearly on the deformation parameter.Where experimental data is available, the contribution of the single particleeffective charge to the total B (E2) value is calculated. The Hamiltoniandescribing the $\alpha$- nucleus interaction contains two terms, a sphericallysymmetric potential given by the double-folding of the M3Y nucleon-nucleoninteraction plus a repulsive core simulating the Pauli principle and aquadrupole-quadrupole (QQ) interaction. The $\alpha$-decaying state isidentified as a narrow outgoing resonance in this potential. The intensity ofthe transition to the first excited state is reproduced by the QQ couplingstrength. It depends linearly both on the nuclear deformation and the square ofthe reduced width for the decay to the bandhead, respectively. Predictedintensities for transitions to higher excited states are in a reasonableagreement with experimental data. This formalism offers a unified descriptionof energy levels, electromagnetic and favored $\alpha$-transitions for knownheavy odd-mass $\alpha$-emitters.

Description of electromagnetic and favored $\alpha$-transitions in heavy odd-mass nuclei