Abstract
A 12 C+four-nucleon (4N ) five-body model is applied for the ground and first excited states of 16 O. The 4N configurations are selected in a wide Hilbert space under the fulfillment of the Pauli principle excluding the occupied orbits in 12 C. The energies of both the states are obtained in excellent agreement with experiment. Analysis of the wave functions indicates a spatially localized alpha-particle-like cluster structure for the excited state and a shell-model-like delocalized structure for the ground state. The difficulty of describing the cluster structure by a standard shell model approach is discussed by calculating components of the harmonic-oscillator quanta in the wave functions.
Highlights
A simultaneous description of the ground and first excited 0+ states of 16O is one of the outstanding and challenging problems in nuclear theory
We present our recent application of the correlated Gaussian (CG) method to 16O, as well as 16C with a 12C+4N five-body model with Pauli constraint
The values are around 10−4 at 4000 basis dimension which corresponds to the ground state energy of 16O crosses the 12C+α threshold
Summary
A simultaneous description of the ground and first excited 0+ states of 16O is one of the outstanding and challenging problems in nuclear theory. No restriction is imposed on the 4N configurations except for the Pauli principle excluding the occupied orbits in 12C. This problem belongs to a class of quantum few-body problems with orthogonally constraints and often appears in atomic and subatomic physics when the system contains composite particles. Solving such a problem is quite challenging if the system has more than four particles. We present our recent application of the CG method to 16O, as well as 16C with a 12C+4N five-body model with Pauli constraint
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