Operator overlaps in harmonic oscillator bases with different oscillator lengths

Abstract

We apply a formalism recently developed to carry out Generator Coordinate Method calculations using a set of Hartree- Fock- Bogoliubov wave functions, where each of the members of the set can be expanded in an arbitrary basis. In this paper it is assumed that the HFB wave functions are expanded in Harmonic Oscillator (HO) bases with different oscillator lengths. General expressions to compute the required matrix elements of arbitrary operators are given. The application of the present formalism to the case of fission is illustrated with an example.

arXiv comment9 pages, 3 figures

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Cited by in corpus (4)

• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations
• Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle