1. Search for $\alpha$ condensed states in $^{13}$C using $\alpha$ inelastic scattering
- Author
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Takahiro Kawabata, Yohei Shimizu, M. Uchida, Hiroshi Matsubara, Yasuro Funaki, Mamoru Fujiwara, K. Itoh, Yoshiko Sasamoto, K. Inaba, Yuji Tameshige, K. Hatanaka, T. Uesaka, Satoshi Sakaguchi, Taiichi Yamada, Yukie Maeda, Kenji Suda, Masatoshi Itoh, Atsushi Tamii, K. Kawase, and Hisataka Yoshida
- Subjects
Physics ,Dipole ,Nuclear Theory ,Excited state ,Isoscalar ,Magnetic monopole ,General Physics and Astronomy ,Parity (physics) ,State (functional analysis) ,Atomic physics ,Inelastic scattering ,Multipole expansion ,Nuclear Experiment - Abstract
We searched for the $\alpha$ condensed state in $^{13}$C by measuring the $\alpha$ inelastic scattering at $E_{\alpha} = 388$ MeV at forward angles including 0 degrees. We performed the distorted-wave Born-approximation calculation with the single-folding potential and the multipole decomposition analysis to determine the isoscalar transition strengths in $^{13}$C. We found a bump structure around $E_x = 12.5$ MeV due to the isoscalar monopole ($IS0$) transition. A peak-fit analysis suggested that this bump consisted of several $1/2^-$ states. We propose that this bump is due to the mirror state of the 13.5 MeV-state in $^{13}$N, which dominantly decays to the $\alpha$ condensed state in $^{12}$C. It was speculated that the $1/2^-$ states around $E_x = 12.5$ MeV were candidates for the $\alpha$ condensed state, but the $3\alpha + n$ orthogonality condition model suggests that the $\alpha$ condensed state is unlikely to emerge as the negative parity states. We also found two $1/2^+$ or $3/2^+$ states at $E_x = 14.5$ and 16.1 MeV excited with the isoscalar dipole ($IS1$) strengths. We suggest that the 16.1-MeV state is a possible candidate for the $\alpha$ condensed state predicted by the cluster-model calculations on the basis of the good correspondence between the experimental and calculated level structures. However, the theoretical $IS1$ transition strength for this state is significantly smaller than the measured value. Further experimental information is strongly desired to establish the $\alpha$ condensed state in $^{13}$C., Comment: 24 pages, 12 figures, published in PTEP
- Published
- 2021
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