Effective three-body interactions in the α-cluster model for the 12C nucleus
Joint Institute for Nuclear Research, 141980, Dubna, Russia
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Accepted: 18 October 2005
Published online: 1 December 2005
Properties of the lowest 0+ states of 12C are calculated to study the role of three-body interactions in the α-cluster model. An additional short-range part of the local three-body potential is introduced to incorporate the effects beyond the α-cluster model. There is enough freedom in this potential to reproduce the experimental values of the ground-state and excited-state energies and the ground-state root-mean-square radius. The calculations reveal two principal choices of the two-body and three-body potentials. Firstly, one can adjust the potentials to obtain the width of the excited 02 + state and the monopole 02 +↦01 + transition matrix element in good agreement with the experimental data. In this case, the three-body potential has strong short-range attraction supporting a narrow resonance above the 02 + state, the excited-state wave function contains a significant short-range component, and the excited-state root-mean-square radius is comparable to that of the ground state. Next, rejecting the solutions with an additional narrow resonance, one finds that the excited-state width and the monopole transition matrix element are insensitive to the choice of the potentials and both values exceed the experimental ones.
PACS: 21.45.+v Few-body systems – / 21.60.Gx Cluster models – / 23.60.+e α decay – / 24.30.Gd Other resonances –
© Società Italiana di Fisica and Springer-Verlag, 2005