Analytic description of critical point nuclei in a spherical-axially deformed shape phase transition.
An approximate solution at the critical point of the spherical to axially deformed shape phase transition in nuclei is presented. The eigenvalues of the Hamiltonian are expressed in terms of zeroes of Bessel functions of irrational order.
Iachello
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Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520-8120, USA.