Quasielastic cluster knock-out reactions and the microscopic cluster model

Abstract

The spectroscopic information contained in quasielastic cluster knock-out reactions is examined with a microscopic approach to the impulse approximation. It is shown that, because of the Pauli principle, the extracted spectroscopic factor is distinct from the probability (or amount) of clustering. A formalism is elaborated for the calculation of these quantities in a generator-coordinate model for a superposition of different clusterizations. This formalism is used to study the α + d clustering properties of 6Li described as a superposition of the α + d and 5He + p systems. The model predicts the spectroscopic factor (amount of clustering) to be 1.04 (0.97) and 1.01 (0.94) for the ground state and first excited state, respectively. The calculated spectroscopic amplitude, as a function of the αd relative momentum, is in good agreement with those extracted from high-energy 6Li(p, pd)α and 6Li(α, 2α)d experiments.