0+(T=1)State and the Residual Interaction in Odd-Odd Deformed Nuclei

Abstract

The $0^{+}\mathrm{}(T=1\mathrm{})\mathrm{}$ low-lying states in the nuclei ${\mathrm{F}}^{18}$, ${\mathrm{Na}}^{22}$, and ${\mathrm{Al}}^{26}$ show a regularity that is readily explained when each of these nuclei is described as an even-even core rotator with two odd nucleons coupled to it. It is shown that an acceptable short-range residual interaction between the two nucleons, together with the observed moments of inertia in this region, quantitatively reproduce that regularity.