Photonuclear reaction 7Li(γ, t)α and light-cluster-interaction models

Abstract

On the basis of various versions of the αt cluster model, the observables of the photonuclear reaction 7Li(γ, t)α were calculated by using two purely attractive αt potentials and their two supersymmetric partners that involve a repulsive core each and which lead to the spectra and the phase shifts identical to those quantities for the above attractive potentials. Use is made of either the simple two-cluster model or the model relying on the Saito orthogonality conditions. The reaction amplitude is calculated in the coordinate representation either on the basis of the multipole expansions of the wave functions and of the transition operator or on the basis of the exact solutions to the Schrodinger equation for radial wave functions for both the discrete and the continuous spectrum. The sensitivity of reaction observables to the choice of model and potential type is revealed, and it is found that a somewhat better description of experimental data is attained within the Saito model and with the potential featuring no repulsive core.