Unification of Airy structure in inelastic $\alpha$ +${}^{16}$O scattering and $\alpha$-cluster structure with core excitation in ${}^{20}$Ne

Abstract

The Airy structure of the nuclear rainbow and prerainbow in inelastic and elastic $\alpha {+}^{16}$O scattering is studied with the coupled channel method using a folding potential derived from the microscopic wave functions of ${}^{16}$O. The theoretical calculations reproduce the characteristic energy evolution of the Airy minimum of the experimental angular distributions. The energy levels with $\alpha$-cluster structure in ${}^{20}$Ne are reproduced well using the potentials determined from the analysis of scattering. It is shown that the emergence of the $K=0_3^{+}$ $\alpha$-cluster band with core excitation at 7.19 MeV in ${}^{20}$Ne is intimately related to the emergence of the prerainbow and rainbow in inelastic scattering to the ${}^{16}$O($0_2^{+}$). It is found that the $\alpha$-cluster states with core excitation, the prerainbow and the rainbow in inelastic scattering are understood in a unified way as well as in the case of elastic scattering.

6 pages, 6 figures

References in corpus (3)

• Nuclear rainbow scattering and nucleus-nucleus potential
• Evidence for strong refraction of ${}^3$He in an alpha-particle condensate
• Observation of Airy minimum in elastic and inelastic scattering of ${}^3$He from ${}^{12}$C at 50.5 and 60 MeV and alpha particle condensation in ${}^{12}$C

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