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

Sep 7, 2021
24 pages
Published in:
  • PTEP 2021 (2021) 9, 093
  • Published: Sep 7, 2021
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Abstract: (Oxford University Press)
We searched for the |α\alpha| condensed state in |13^{13}|C by measuring the |α\alpha| inelastic scattering at |Eα=388E_\alpha = 388| MeV at forward angles including 0|^\circ|⁠. We performed a distorted-wave Born approximation calculation with the single-folding potential and multipole decomposition analysis to determine the isoscalar transition strengths in |13^{13}|C. We found a bump structure around |Ex=12.5E_x = 12.5| MeV due to the isoscalar monopole (⁠|IS0IS0|⁠) transition. A peak-fit analysis suggested that this bump consisted of several |1/21/2^-| states. We propose that this bump is due to the mirror state of the 13.5 MeV state in |13^{13}|N, which dominantly decays to the |α\alpha| condensed state in |12^{12}|C. It was speculated that the |1/21/2^-| states around |Ex=12.5E_x = 12.5| MeV were candidates for the |α\alpha| condensed state, but the |3α+n3\alpha + n| orthogonality condition model suggests that the |α\alpha| condensed state is unlikely to emerge as the negative parity states. We also found two |1/2+1/2^+| or |3/2+3/2^+| states at |Ex=14.5E_x = 14.5| and 16.1 MeV excited with the isoscalar dipole (⁠|IS1IS1|⁠) strengths. We suggest that the 16.1 MeV state is a possible candidate for the |α\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 |IS1IS1| transition strength for this state is significantly smaller than the measured value. Further experimental information is strongly desired to establish the |α\alpha| condensed state in |13^{13}|C.
Note:
  • 24 pages, 12 figures, published in PTEP
  • D05 Few-body problems in nuclear system
  • D11 Models of nuclear structure
  • D22 Light ion reactions (A<=4)