Abstract
In this chapter we give explicit expression for the matrix elements of the finite-range interaction used in the second part of the book in the deformed harmonic-oscillator basis. The components of the interaction explicitly given are: the central (Gaussian) part, the spin-orbit part, a density-dependent contribution, and both the exact and Slater approximation to the Coulomb interaction.
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Notes
- 1.
Let us mention that using an axially deformed HO basis does not necessarily imply that nuclear shapes have to be restricted to axially symmetric ones. In fact, triaxial shapes can be described using such a basis by allowing a mixing of the orbital momentum projection quantum number Λ in the expansion of the HFB qp states, although such a mixing is convenient in practice only for relatively small triaxiality – which is generally the case along fission paths
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Younes, W., Gogny, D.M., Berger, JF. (2019). Matrix Elements of the Finite-Range Interaction. In: A Microscopic Theory of Fission Dynamics Based on the Generator Coordinate Method. Lecture Notes in Physics, vol 950. Springer, Cham. https://doi.org/10.1007/978-3-030-04424-4_2
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