A Linear Approximation for the Excitation Energies of single and double analog states in the f_{7/2} shell

Abstract

We find that the excitation energies of single analog states for odd-even nuclei in the f${}_{7/2}$ shell with J=j=7/2${}^{-}$ and the J=0${}^{+}$ double analog states in the even-even nuclei are well described by the formulas $E^{\ast }(j,T+1)=b(T+X)$ and $E^{\ast }(0^{+},T+2)=2b(T+X+0.5)$,respectively, where $T=\mid N-Z\mid /2$ is usually the ground state isospin. It is remarkable to note that the parameter X accounts for the departures from the symmetry energy based predictions.

Comments: 8 pages and no figures