# Spin-orbit splittings in $^{13}$C and $^{13}$N with the nature of the Hoyle state in $^{12}$C

Abstract : The spin-orbit splittings of 13C and 13N corresponding to the ground state and second 0+ state (Hoyle state) in 12C are investigated within a 12C+N model. The agreement of the calculated results with experiments suggests that the and states around Ex = 9 ~ 10 MeV in 13C and 13N can be interpreted as the spin-orbit partner with the configuration. We also discuss the positive parity states (including ) of 13C and 13N around the threshold, indicating to have the configuration of the Hoyle state in 12C plus a valence nucleon in sd shell.
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Conference papers

http://hal.in2p3.fr/in2p3-00121016
Contributor : Suzanne Robert <>
Submitted on : Tuesday, December 19, 2006 - 10:55:39 AM
Last modification on : Wednesday, September 16, 2020 - 4:07:53 PM

### Citation

T. Yamada, H. Horiuchi, P. Schuck. Spin-orbit splittings in $^{13}$C and $^{13}$N with the nature of the Hoyle state in $^{12}$C. RCNP Osaka Spring Workshop on Cluster Condensation and Nucleon Correlation in Nuclei, Apr 2006, Osaka, Japan. pp.2373-2382, ⟨10.1142/S0217732306022018⟩. ⟨in2p3-00121016⟩

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