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

Y. Durga Devi·Shadow Robinson·Larry Zamick
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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 $E^{*}(j,T+1) = b (T+X)$ and $E^{*}(0^{+},T+2) = 2b (T+X+0.5)$,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.

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Y. Durga Devi, Shadow Robinson, Larry Zamick. 1999-10-01. A Linear Approximation for the Excitation Energies of single and double analog states in the f_{7/2} shell. https://doi.org/10.1103/physrevc.61.037305

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