Direct probing of the cluster structure in ${}^{12}$Be via $\alpha$-knockout reaction

Abstract

Background: Recent theoretical and experimental researches using proton-induced $\alpha$-knockout reactions provide direct manifestation of $\alpha$-cluster formation in nuclei. In recent and future experiments, $\alpha$-knockout data are available for neutron-rich beryllium isotopes. In ${}^{12}$Be , rich phenomena are induced by the formation of $\alpha$-clusters surrounded by neutrons, for instance, breaking of the neutron magic number $N=8$. Purpose: Our objective is to provide direct probing of the $\alpha$-cluster formation in the ${}^{12}$Be target through associating the structure information obtained by a microscopic theory with the experimental observables of $\alpha$-knockout reactions. Method: We formulate a new wave function of the Tohsaki-Horiuchi-Schuck-R{ö}pke (THSR) type for the structure calculation of ${}^{12}$Be nucleus and integrate it with the distorted wave impulse approximation framework for the $\alpha$-knockout reaction calculation of ${}^{12}$Be$(p,p\alpha {)}^8$He. Results: We reproduce the low-lying spectrum of the ${}^{12}$Be nucleus using the THSR wave function and discuss the cluster structure of the ground state. Based on the microscopic wave function, the optical potentials and $\alpha$-cluster wave function are determined and utilized in the calculation of ${}^{12}$Be($p,p\alpha$)${}^8$He reaction at 250 MeV. The possibility of probing the clustering state of ${}^{12}$Be through this reaction is demonstrated by analysis of the triple differential cross sections that are sensitively dependent on the $\alpha$-cluster amplitude at the nuclear surface. Conclusions: This study provides a feasible approach to validate directly the theoretical predictions of clustering features in the ${}^{12}$Be nucleus through the $\alpha$-knockout reaction.

13 pages, 8 figures

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Cited by in corpus (6)

• Shape coexistence in even-even nuclei: A theoretical overview
• $\alpha$ knockout reaction as a new probe for $\alpha$ formation in $\alpha$-decay nuclei
• The study of the alpha formation probability in 10Be and 12Be within the microscopic cluster model
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes
• Significance of the refraction effect on the $p$-$d$ elementary process in the ($p$,$pd$) reaction
• Effective polarization in proton-induced $\alpha$ knockout reactions