Work

Five-body resonances of 8 C using the complex scaling method

Year: 2012
Type: article
Abstract: We study the resonance spectroscopy of the proton-rich nucleus ${}^{8}$C in the $\ensuremath{\alpha}$+$p$+$p$+$p$+$p$ cluster model. Many-body resonances are treated on the correct boundary condition as the Gamow states using the complex scaling method. We obtain the ground state of ${}^{8}$C as a five-body resonance for the first time, which has dominantly the subclosed ${({p}_{3/2})}^{4}$ configuration and agrees with the recent experiment for energy and decay width. We predict the second ${0}^{+}$ state with the excitation energy of 5.6 MeV, which corresponds to the 2p2h state from the ground state. We evaluate the occupation numbers of four valence-protons in the ${}^{8}$C states and also the ${J}^{\ensuremath{\pi}}$ distribution of proton-pair numbers of the two ${0}^{+}$ states of ${}^{8}$C. The ground state involves a large amount of the ${2}^{+}$ proton-pair fraction, while the excited ${0}_{2}^{+}$ state almost consists of two of the ${0}^{+}$ proton pairs, which can be understood from the ${({p}_{3/2})}^{2}{({p}_{1/2})}^{2}$ configuration. We also discuss the mirror symmetry between ${}^{8}$C and ${}^{8}$He with an $\ensuremath{\alpha}$+four nucleon picture. It is found that the ${0}^{+}$ states retain the mirror symmetry well for the configuration properties of two nuclei.
Language: Latvian
Open Access status: bronze
OpenAlex ID: W1600876491
FWCI: 2.196
Cites: 48
Cited by: 28
Related to: 10