A geometrical representation of the interacting boson model of nuclei |
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Authors: | Michael W Kirson |
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Institution: | Department of Nuclear Physics, Weizmann Institute of Science, Rehovot 76100, Israel |
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Abstract: | The representation of the interacting boson model hamiltonian as a second-order differential operator in geometrical variables is studied in detail. It is shown that, with appropriate boundary conditions and biorthogonal weight functions, it reproduces exactly both the spectrum and matrix elements of operators of the algebraic boson model. It can be written in self-adjoint form and expanded in a symmetrized moment expansion, allowing the identification of collective mass parameters and energy surfaces, but differs in detail from the conventional geometrical collective model. |
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