Electromagnetic form factors of odd-A rotational nuclei.

Abstract

We present a systematic study of single-particle and collective transverse current multipoles in the ground-state band of odd-A axially symmetric deformed nuclei. We analyze the interplay between single-particle and collective contributions to the total transverse form factors for elastic and inelastic scattering in a number of nuclei ${(}^{169}$Tm, $^{177}$,179Hf, $^{239}\mathrm{Pu}$), which exemplify different possibilities of ground-state ${k}^{\ensuremath{\pi}}$ bands ((1/${2}^{+}$,(7/${2}^{\mathrm{r}\mathrm{\ensuremath{-}}}$,(9/2+) and of odd-Z or odd-N character. We also discuss the dependence of form factors and static moments on the mean field used to generate the ground-state wave function. The dominant contribution is found to come from the odd nucleon, except in the low momentum transfer region (q<1 ${\mathrm{fm}}^{\mathrm{\ensuremath{-}}1}$) where the core is manifest through its interference with the single-particle amplitude.