Hoyle-analogue state in 13C studied with Antisymmetrized Molecular Dynamics

Abstract

The cluster states in ${}^{13}\mathrm{C}$ are investigated by antisymmetrized molecular dynamics. By investigating the spectroscopic factors, the cluster configurations of the excited states are discussed. It is found that the $1/2_2^{+}$ state is dominantly composed of the ${}^{12}\mathrm{C}(0_2^{+})\otimes s_{1/2}$ configuration and can be regarded as a Hoyle analogue state. On the other hand, the p-wave states ($3/2^{-}$ and $1/2^{-}$) do not have such structure, because of the coupling with other configurations. The isoscalar monopole and dipole transition strengths from the ground to the excited states are also studied. It is shown that the excited $1/2^{-}$ states have strong isoscalar monopole transition strengths consistent with the observation. On the other hand, the excited $1/2^{+}$ states unexpectedly have weak isoscalar dipole transitions except for the $1/2_1^{+}$ state. It is discussed that the suppression of the dipole transition is attributed to the property of the dipole operator.

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Cited by in corpus (6)

• Shape of 13C studied by the real-time evolution method
• Monopole and dipole transitions of the cluster states of 18O
• Search for $\alpha$ condensed states in ${}^{13}$C using $\alpha$ inelastic scattering
• alpha+28Si and 16O+16O molecular states, and their isoscalar monopole strengths
• Signatures of $\alpha$-clustering in ${}^{12}$C and ${}^{13}$C
• The isoscalar monopole strength of 13C