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.

arXiv comment13 pages, 8 figures

References in corpus (29)

• Alpha cluster condensation in 12C and 16O
• Microscopic Clustering in Light Nuclei
• Structure of Light Unstable Nuclei Studied with Antisymmetrized Molecular Dynamics
• Structure of Excited States of 10Be studied with Antisymmetrized Molecular Dynamics
• Nonlocalized Clustering: A New Concept in Nuclear Cluster Structure Physics
• Cluster Structures of the Ground and Excited States of 12Be Studied with Antisymmetrized Molecular Dynamics
• Structure of the mirror nuclei ${}^9$Be and ${}^9$B in a microscopic cluster model
• Quasi-free (p,2p) and (p,pn) reactions with unstable nuclei
• How Robust is the N = 34 Subshell Closure? First Spectroscopy of ${}^{52}$Ar
• Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$
• Application of the generalized two-center cluster model to 10Be
• Nonlocalized cluster dynamics and nuclear molecular structure
• Structure of excited states of Be-11 studied with Antisymmetrized Molecular Dynamics
• Relativistic continuum-continuum coupling in the dissociation of halo nuclei
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Investigation of 10Be and its cluster dynamics from nonlocalized clustering concept
• Investigating the alpha-clustering on the surface of ${}^{120}$Sn via ($p$,$p\alpha$) reaction and the validity of the factorization approximation
• Investigation of ${}^9$Be from nonlocalized clustering concept
• Approximation of reduced width amplitude and application to cluster decay width
• Manifestation of α-clustering in ${}^{10}$Be via α-knockout reaction
• Novel cluster states in ${}^{10}$Be
• Monopole excitation of the Hoyle state and linear-chain state in 12C
• Dynamical Relativistic Effects in Breakup Processes of Halo Nuclei
• Investigation of $\alpha$ clustering with knockout reactions
• Dissociation of Relativistic Projectiles with the Continuum-Discretized Coupled-Channels Method
• Investigation of the 9B nucleus and its cluster-nucleon correlations
• Probing surface distributions of $\alpha$ clusters in ${}^{20}$Ne via $\alpha$-transfer reaction
• Monopole transitions to cluster states in ${}^{10}$Be and ${}^9$Li
• The nucleus-nucleus interaction between boosted nuclei

Cited by in corpus (7)

• 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
• Manifestation of the divergence between antisymmetrized-molecular-dynamics and container pictures of ${}^9$Be via ${}^9$Be($p,pn$)${}^8$Be knockout reaction