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

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

1999-09-28

arxiv.org/abs/nucl-th/9909069v2

Phys.Rev. C61 (2000) 037305

Physics

Nuclear Physics

Nuclear Theory

8 pages and no figures

Scientific paper

10.1103/PhysRevC.61.037305

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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