We formulate a computational method to evaluate the overlap integral of the shell-model and cluster-model wave functions. The framework is applied to the system of the core plus two neutrons, and the magnitude of the overlap of the shell model configuration (core + n + n) and the di-neutron cluster one (core +2n) are explored. We have found that the magnitude of the overlap integral is prominently enhanced when two neutrons occupy the shell model orbits having the low orbital angular momenta, such as the s- and p-wave orbits. The shell-cluster overlap is calculated in the systems with the jj-closed cores plus two neutrons, and the enhancement due to the occupation of the s or p orbit also occurs in the systematic calculation. The effect of the configuration interaction on the shell-cluster overlap integrals is also discussed.
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