α decay to members of favored bands in both even-even and odd-A nuclei

We present a systematic analysis of alpha transitions from the ground state of the parent nucleus to members of the favored band in the daughter nucleus. By using measured alpha-decay energies and partial half-lives, the well-known Geiger-Nuttall law is examined for these transitions in both even-even and odd-A nuclei. Accurate expressions are proposed for the evaluation of partial half-lives of these transitions based on microscopic quantum tunneling theory. The calculated partial alpha-decay half-lives are in good agreement with the experimental data. The root-mean-square deviations of our expressions are sigma equivalent to {Sigma(n)(i=1) [(log(10)T(cal)(i) - log(10)T(exp)(i))](2)/n}(1/2) = 0.41 for the even-even nuclei and sigma = 0.35 for the odd-A nuclei. A set of parameters for the Viola-Seaborg (V-S) formula is also given by fitting the available experimental data. The proposed expressions and the V-S formula with our parameters will help experimentalists quickly evaluate the expected alpha-decay half-lives during the design of experiments and check the measured decay energies and half-lives after experiments.