Quantitative description of the ${}^{20}$Ne($p$,$p\alpha$)${}^{16}$O cross section as a means of probing the surface $\alpha$ amplitude

Abstract

The proton-induced $\alpha$ knockout reaction has been utilized for decades to investigate the $\alpha$ cluster states of nuclei, of the ground state in particular. However, even in recent years, it is reported that the deduced $\alpha$ spectroscopic factors from $\alpha$ knockout experiments and reaction analyses with a phenomenological $\alpha$ cluster wave function diverge depending on the kinematical condition of the reaction. In the present study we examine the theoretical description of the ${}^{20}$Ne($p$,$p\alpha$)${}^{16}$O cross section based on the antisymmetrized molecular dynamics and the distorted wave impulse approximation by comparing with existing experimental data. We also investigate the correspondence between the $\alpha$ cluster wave function and the $\alpha$ knockout cross section. The existing ${}^{20}$Ne($p$,$p\alpha$)${}^{16}$O data at 101.5 MeV is well reproduced by the present framework. Due to the peripherality of the reaction, the surface region of the cluster wave function is selectively reflected to the knockout cross section. A quantitatively reliable $\alpha$ cluster wave function, $p$-$\alpha$ cross section, and distorting potentials between scattering particles, $\alpha$-${}^{16}$O in particular, are crucial for the quantitative description of the ($p$,$p\alpha$) cross section. Due to the peripherality of the reaction, the ($p$,$p\alpha$) cross section is a good probe for the surface $\alpha$ amplitude.

arXiv comment6 pages, 7 figures

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Cited by in corpus (11)

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• $\alpha$ knockout reaction as a new probe for $\alpha$ formation in $\alpha$-decay nuclei
• alpha clustering and neutron-skin thickness of carbon isotopes
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• The study of the alpha formation probability in 10Be and 12Be within the microscopic cluster model
• Significance of the refraction effect on the $p$-$d$ elementary process in the ($p$,$pd$) reaction
• alpha+28Si and 16O+16O molecular states, and their isoscalar monopole strengths
• Effective polarization in proton-induced $\alpha$ knockout reactions
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• Manifestation of the divergence between antisymmetrized-molecular-dynamics and container pictures of ${}^9$Be via ${}^9$Be($p,pn$)${}^8$Be knockout reaction
• Systematic analysis of the nuclear absorption effect on the cross section of the knockout reaction