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Search for $\alpha$ condensed states in $^{13}$C using $\alpha$ inelastic scattering

Authors :
Inaba, K.
Sasamoto, Y.
Kawabata, T.
Fujiwara, M.
Funaki, Y.
Hatanaka, K.
Itoh, K.
Itoh, M.
Kawase, K.
Matsubara, H.
Maeda, Y.
Suda, K.
Sakaguchi, S.
Shimizu, Y.
Tamii, A.
Tameshige, Y.
Uchida, M.
Uesaka, T.
Yamada, T.
Yoshida, H. P.
Source :
Prog. Theor. Exp. Phys. 2021, 093D01
Publication Year :
2021

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.<br />Comment: 24 pages, 12 figures, published in PTEP

Subjects

Subjects :
Nuclear Experiment
Nuclear Theory

Details

Database :
arXiv
Journal :
Prog. Theor. Exp. Phys. 2021, 093D01
Publication Type :
Report
Accession number :
edsarx.2110.00938
Document Type :
Working Paper
Full Text :
https://doi.org/10.1093/ptep/ptab102