Abstract
Parity doublet bands with K=${0}^{\ifmmode\pm\else\textpm\fi{}}$ implying reflection asymmetry (with an average spacing between the levels of the same spin and opposite parity of 12.6 keV) are observed in $^{224}\mathrm{Ac}$. In the strong coupling limit all K=${0}^{\ifmmode\pm\else\textpm\fi{}}$ parity doublet bands are shown to be constrained to Newby splittings with the same absolute magnitude, but with opposite sign. Experimentally, the Newby splittings in $^{224}\mathrm{Ac}$ approach this theoretical expectation.
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