Abstract. The prolate version of the Bohr Hamiltonian with a potential having simultaneous spherical and deformed minima of the same depth is diagonalized in a basis defined through the Bessel-Fourier expansion method. When only K = 0 states are considered, the condition of degenerate minima restricts the model to a single free parameter connected to the height of the barrier which separates the two minima. Shape coexistence within the same collective state emerges for specific intervals of the free parameter when the state is in the vicinity of the barrier peak. The measure of mixing between the coexisting deformations is investigated by means of transition matrix elements relevant to electromagnetic observables.

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