1. The Core of $^{25}$F studied by the $^{25}$F(-1p)$^{24}$O reaction
- Author
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Crawford, H. L., Jones, M. D., Macchiavelli, A. O., Fallon, P., Bazin, D., Bender, P. C., Brown, B. A., Campbell, C. M., Clark, R. M., Cromaz, M., Elman, B., Gade, A., Holt, J. D., Janssens, R. V. F., Lee, I. Y., Longfellow, B., Paschalis, S., Petri, M., Richard, A. L., Salathe, M., Tostevin, J. A., and Weisshaar, D.
- Subjects
Nuclear Experiment ,Nuclear Theory - Abstract
The $^{25}$F($5/2^+) (-1p) ^{24}$O reaction was studied at the NSCL using the S800 spectrometer. The experimental spectroscopic factor for the ground-state to ground-state transition indicates a substantial depletion of the proton $d_{5/2}$ strength compared to shell-model expectations. Our result supports the findings reported by Tang \textit{et al.}, from their study of the $(p,2p)$ reaction at RIBF. The overlap between the $^{25}$F and $^{24}$O ground-states is considerably less than anticipated if $^{24}$O acted as a robust and rigid doubly-magic core in $^{25}$F. We interpret the results within the framework of the Particle-Vibration Coupling (PVC) of a $d_{5/2}$ proton coupled to a quadrupole phonon of an effective core. This approach provides a good description of the experimental data by requiring an effective $^{24}$O* core with a phonon energy of $\hbar\omega_2$= 3.2 MeV, and a $B(E2) ~ 2.7$ W.u., softer and more collective than a bare $^{24}$O. Both the Nilsson deformed mean field and the PVC models appear to capture the properties of the effective core of $^{25}$F, suggesting that the additional proton tends to polarize the free, doubly magic $^{24}$O in such a way that it becomes either slightly deformed or a quadrupole vibrator., Comment: 6 pages, 2 figures
- Published
- 2022