Structure of and E2 transition in 16C in a 14C+n+n model
Abstract
A three-body model of 14C+n+n is applied to study the energy spectrum and the hindered E2 transition in 16C. A realistic two-nucleon potential is used for the valence neutrons. Both spin singlet and triplet components for the neutrons are taken into account. The three-body problem with a Pauli constraint is solved in a stochastic variational method. For the n-14C potential chosen to reproduce the properties of 15C, the low-lying energy spectrum agrees reasonably well with experiment, but the ground state is predicted to be about 1 MeV high. The calculated B(E2; 21+ 0+1) value is about twice the measured value if the polarization charge of the valence neutrons is taken to be the same as that required to fit the 15C data. The correlated motion of the valence neutrons is displayed through the two-neutron density distribution.
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