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We extend an effective field theory developed to describe rotational bands ineven-even nuclei to the odd-mass case. This organizes Bohr and Mottelson'streatment of a particle coupled to a rotor as a model-independent expansion inpowers of the angular velocity of the overall system. We carry out thisexpansion up to fourth order in the angular velocity and present results for$^{99}$Tc, ${}^{159}$Dy, ${}^{167, 169}$Er, ${}^{167, 169}$Tm, ${}^{183}$W,${}^{235}$U and ${}^{239}$Pu. In each case, the accuracy and breakdown scale ofthe effective field theory can be understood based on the single-particle andvibrational energy scales in that nucleus.

An effective field theory approach to fermionic rotational bands in nuclei