Effect of hexadecapole deformations on i132 orbits and pickup cross sections in the tungsten nuclei

Previous (d,t) and (τ,α) cross sections to $\text{13}\text{2}{}^{\mathrm{+}}$ states in odd-mass tungsten nuclei have been interpreted in terms of moderate hexadecapole deformations (?₄≈0.06) while a recent Coulomb excitation measurement has suggested a much larger value for ¹⁸²W. We have calculated the pickup spectra and show that in fact the data can be successfully interpreted with a wide range of ?₄ values from ≈0.06 to ≈0.16.