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We consider deformed nuclei within an effective theory that exploits thesmall ratio between rotational and vibrational excitations. For even-evennuclei, the effective theory predicts small changes in the rotational constantsof bands built on multi-phonon excitations that are linear in the number ofexcited phonons. In 166Er and 168Er, this explains the main variations of therotational constants of the two-phonon gamma vibrational bands. In 232Th, theeffective theory correctly explains the trend that the rotational constantsdecrease with increasing spin of the band head. We also study the effectivetheory for deformed odd nuclei. Here, time-odd terms enter the Lagrangian andgenerate effective magnetic forces that yield the high level densities observedin such nuclei.

Rotational constants of multi-phonon bands in an effective theory for deformed nuclei