Abstract
The liquid drop Hamiltonian is amended with a potential which allows us to separate, in the intrinsic frame, the equations for and coordinates. The Schrödinger equation for is that for a sextic oscillator plus a centrifugal term, while that for is just the equation for the Mathieu function. The total energy has a compact form. The operator for the electric quadrupole transitions is considered in the intrinsic frame and involves two parameters accompanying the harmonic and anharmonic components. The parameters determining the energies as well as those defining the transition operator are to be determined by a fitting procedure. Applications refer to five isotopes: , , , , and . Results are in good agreement with the corresponding experimental data. Results are also compared with those obtained within the coherent state model. A possible connection between the two formalisms is pointed out.
5 More- Received 5 January 2011
DOI:https://doi.org/10.1103/PhysRevC.83.034313
©2011 American Physical Society