Background: Recent theoretical and experimental researches using proton-induced α-knockout reactions provide direct manifestation of α-cluster formation in nuclei. In recent and future experiments, α-knockout data are available for neutron-rich beryllium isotopes. In 12 Be , rich phenomena are induced by the formation of α-clusters surrounded by neutrons, for instance, breaking of the neutron magic number N = 8.Purpose: Our objective is to provide direct probing of the α-cluster formation in the 12 Be target through associating the structure information obtained by a microscopic theory with the experimental observables of α-knockout reactions.
Method:We formulate a new wave function of the Tohsaki-Horiuchi-Schuck-Röpke (THSR) type for the structure calculation of 12 Be nucleus and integrate it with the distorted wave impulse approximation framework for the α-knockout reaction calculation of 12 Be(p, pα) 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 α-cluster wave function are determined and utilized in the calculation of 12 Be(p, pα) 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 α-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 α-knockout reaction.