Folding model analysis of the inelastic $\alpha {+}^{12}$C scattering at medium energies, and the isoscalar transition strengths of the cluster states of ${}^{12}$C

Abstract

The complex optical potential and inelastic form factor given by the folding model for the $\alpha {+}^{12}$C scattering are used to calculate the ($\alpha ,{\alpha }^{\prime }$) cross sections for the known isoscalar states of ${}^{12}$C in an elaborate coupled channel approach. The strengths of the form factors for these states are then fine tuned against the ($\alpha ,{\alpha }^{\prime }$) data to deduce the corresponding $E\lambda$ transition strengths. A significant $E2$ transition strength has been obtained for the $2_2^{+}$ state from the present analysis of the ($\alpha ,{\alpha }^{\prime }$) data measured at $E_{\alpha }=240$ and 386 MeV. The $E\lambda$ transition strengths of the $0_2^{+},3_1^{-},0_3^{+},$ and $1_1^{-}$ states were also carefully deduced, and some difference from the results of earlier analyses has been found and qualitatively understood.

Accepted for publication in Physical Review C

References in corpus (8)

• Structure and rotations of the Hoyle state
• Nuclear rainbow scattering and nucleus-nucleus potential
• Unambiguous Identification of the Second 2+ State in 12C and the Structure of the Hoyle State
• Concepts of alpha-particle condensation
• Missing monopole strength of the Hoyle state in the inelastic $\alpha$+${}^{12}$C scattering
• Hindrance of the excitation of the Hoyle state and the ghost of the $2_2^{+}$ state in ${}^{12}$C
• Microscopic study of the isoscalar giant resonances in 208Pb induced by inelastic alpha scattering
• Probing the isoscalar excitations of 12C with inelastic alpha scattering

Cited by in corpus (5)

• Consistency between the monopole strength of the Hoyle state determined by structural calculation and that extracted from reaction observables
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• Three-body bremsstrahlung and the rotational character of the 12C-spectrum
• Monopole transition strength function of ${}^{12}$C in three-$\alpha$ model
• Relation between transition density and proton inelastic scattering by ${}^{12}$C target at $E_p=$ 65 and 200 MeV