$\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation

Abstract

$\alpha$ elastic and inelastic scattering on ${}^{12}$C is investigated with the coupled-channel calculation using microscopic $\alpha$-${}^{12}$C potentials, which are derived by folding the Melbourne $g$-matrix $NN$ interaction with the matter and transition densities of ${}^{12}$C. These densities are obtained by a microscopic structure model of the antisymmetrized molecular dynamics combined with and without the $3\alpha$ generator coordinate method. The calculation reproduces satisfactorily well the observed elastic and inelastic cross sections at incident energies of $E_{\alpha }=130$~MeV, 172.5~MeV, 240~MeV, and 386~MeV with no adjustable parameter. Isoscalar monopole and dipole excitations to the $0_2^{+}$, $0_3^{+}$, and $1_1^{-}$ states in the $\alpha$ scattering are discussed.

15 pages, 7 figures

References in corpus (22)

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• Alpha cluster condensation in 12C and 16O
• Microscopic Clustering in Light Nuclei
• Structure and rotations of the Hoyle state
• Analysis of previous microscopic calculations for second $0^{+}$ state in ${}^{12}$C in terms of 3-alpha particle Bose-condensed state
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• Tensor correlations in the Unitary Correlation Operator Method
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• Decay and structure of the Hoyle state
• Microscopic optical potentials for ${}^4$He scattering
• Missing monopole strength of the Hoyle state in the inelastic $\alpha$+${}^{12}$C scattering
• New Treatment of Resonances with Bound State Approximation by Using Pseudo Potential
• Isoscalar monopole and dipole excitations of cluster states and giant resonances in ${}^{12}$C
• Three-alpha-cluster structure of the 0^+ states in ^{12}C and the effective alpha-alpha interactions
• Consistency between the monopole strength of the Hoyle state determined by structural calculation and that extracted from reaction observables
• Cluster and toroidal aspects of isoscalar dipole excitations in ${}^{12}$C
• A microscopic approach to ${}^3$He scattering

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