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Variational Calculations of the 12C Nucleus Structure in a 3α Model Using a Deep Potential with Forbidden States

E. M. Tursunov

nucl-tharXiv:nucl-th/0501057

Abstract

The energy spectrum of the 12C nucleus with (Jπ, T)=(0+,0) and (2+,0) is investigated in the framework of the multicluster dynamical model by using a deep αα-potential with forbidden states in the S and D waves. A very high sensitivity of the compact ground and first excited 2+1 states energy levels to the description of the two-body forbidden states wave functions has been estabilished. It is shown also that the chosen method of orthogonalizing pseudopotentials yields convergent results for the energies of the excited (0+2,0) and (0+3,0) states of the 12C nucleus with a well developed cluster like structure.

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