Critical-point description of the transition from vibrational to rotational regimes in the pairing phase.
An approximate solution at the critical point of the pairing transition from harmonic vibration to deformed rotation in gauge space is found by analytic solution of the collective pairing Hamiltonian. The eigenvalues are expressed in terms of the zeros of Bessel functions of integer order. The results are compared to the pairing bands based on the Pb isotopes.
Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.
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