Effective mass of α-cluster in 12C nucleus

Abstract

Based on the effective-mass concept, we perform the Faddeev calculations for a low-lying spectrum of 3[Formula: see text] states in [Formula: see text]C nucleus. A three-body potential is used to describe the known breaking of the 3[Formula: see text]-cluster structure in the nucleus. We show that the contribution of the three-body potential to the Hamiltonian can be compensated by increasing/decreasing the [Formula: see text]-particle free mass. The effective-mass values are adjusted to reproduce the experimental data for the [Formula: see text]C nucleus. The energy dependence of the effective mass and the correlation to a three-body potential are discussed. We show that the coupling between the [Formula: see text] ([Formula: see text]) levels forms a specific picture of anti-crossing on the energy/effective-mass plane.