Matrix Elements of the Finite-Range Interaction

  • Walid Younes
  • Daniel Marc Gogny
  • Jean-François Berger
Part of the Lecture Notes in Physics book series (LNP, volume 950)


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.



This chapter was prepared by a contractor of the U.S. Government under contract number DE-AC52-06NA27344. Accordingly, the U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Walid Younes
    • 1
  • Daniel Marc Gogny
    • 2
  • Jean-François Berger
    • 3
  1. 1.Department of PhysicsLawrence Livermore National LaboratoryLivermoreUSA
  2. 2.Lawrence Livermore National LaboratLivermoreUSA
  3. 3.Centre DAM-Ile de FranceRetired from Commissariat à l’Energie AtomiqueBruyères-le-Châtel, ArpajonFrance

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